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15 """Definitions of all basic objects used in the core code: particle,
16 interaction, model, leg, vertex, process, ..."""
17
18 import copy
19 import itertools
20 import logging
21 import math
22 import numbers
23 import os
24 import re
25 import StringIO
26 import madgraph.core.color_algebra as color
27 from madgraph import MadGraph5Error, MG5DIR, InvalidCmd
28 import madgraph.various.misc as misc
29
30
31 logger = logging.getLogger('madgraph.base_objects')
32 pjoin = os.path.join
38 """A parent class for all physics objects."""
39
41 """Exception raised if an error occurs in the definition
42 or the execution of a physics object."""
43 pass
44
46 """Creates a new particle object. If a dictionary is given, tries to
47 use it to give values to properties."""
48
49 dict.__init__(self)
50 self.default_setup()
51
52 assert isinstance(init_dict, dict), \
53 "Argument %s is not a dictionary" % repr(init_dict)
54
55
56 for item in init_dict.keys():
57 self.set(item, init_dict[item])
58
59
61 """ force the check that the property exist before returning the
62 value associated to value. This ensure that the correct error
63 is always raise
64 """
65
66 try:
67 return dict.__getitem__(self, name)
68 except KeyError:
69 self.is_valid_prop(name)
70
71
73 """Function called to create and setup default values for all object
74 properties"""
75 pass
76
78 """Check if a given property name is valid"""
79
80 assert isinstance(name, str), \
81 "Property name %s is not a string" % repr(name)
82
83 if name not in self.keys():
84 raise self.PhysicsObjectError, \
85 """%s is not a valid property for this object: %s\n
86 Valid property are %s""" % (name,self.__class__.__name__, self.keys())
87 return True
88
89 - def get(self, name):
90 """Get the value of the property name."""
91
92 return self[name]
93
94 - def set(self, name, value, force=False):
95 """Set the value of the property name. First check if value
96 is a valid value for the considered property. Return True if the
97 value has been correctly set, False otherwise."""
98 if not __debug__ or force:
99 self[name] = value
100 return True
101
102 if self.is_valid_prop(name):
103 try:
104 self.filter(name, value)
105 self[name] = value
106 return True
107 except self.PhysicsObjectError, why:
108 logger.warning("Property " + name + " cannot be changed:" + \
109 str(why))
110 return False
111
112 - def filter(self, name, value):
113 """Checks if the proposed value is valid for a given property
114 name. Returns True if OK. Raises an error otherwise."""
115
116 return True
117
119 """Returns the object keys sorted in a certain way. By default,
120 alphabetical."""
121
122 return self.keys().sort()
123
125 """String representation of the object. Outputs valid Python
126 with improved format."""
127
128 mystr = '{\n'
129 for prop in self.get_sorted_keys():
130 if isinstance(self[prop], str):
131 mystr = mystr + ' \'' + prop + '\': \'' + \
132 self[prop] + '\',\n'
133 elif isinstance(self[prop], float):
134 mystr = mystr + ' \'' + prop + '\': %.2f,\n' % self[prop]
135 else:
136 mystr = mystr + ' \'' + prop + '\': ' + \
137 repr(self[prop]) + ',\n'
138 mystr = mystr.rstrip(',\n')
139 mystr = mystr + '\n}'
140
141 return mystr
142
143 __repr__ = __str__
144
150 """A class to store lists of physics object."""
151
153 """Exception raised if an error occurs in the definition
154 or execution of a physics object list."""
155 pass
156
158 """Creates a new particle list object. If a list of physics
159 object is given, add them."""
160
161 list.__init__(self)
162
163 if init_list is not None:
164 for object in init_list:
165 self.append(object)
166
168 """Appends an element, but test if valid before."""
169
170 assert self.is_valid_element(object), \
171 "Object %s is not a valid object for the current list" % repr(object)
172
173 list.append(self, object)
174
175
177 """Test if object obj is a valid element for the list."""
178 return True
179
181 """String representation of the physics object list object.
182 Outputs valid Python with improved format."""
183
184 mystr = '['
185
186 for obj in self:
187 mystr = mystr + str(obj) + ',\n'
188
189 mystr = mystr.rstrip(',\n')
190
191 return mystr + ']'
192
193
194
195
196 -class Particle(PhysicsObject):
197 """The particle object containing the whole set of information required to
198 univocally characterize a given type of physical particle: name, spin,
199 color, mass, width, charge,... The is_part flag tells if the considered
200 particle object is a particle or an antiparticle. The self_antipart flag
201 tells if the particle is its own antiparticle."""
202
203 sorted_keys = ['name', 'antiname', 'spin', 'color',
204 'charge', 'mass', 'width', 'pdg_code',
205 'line', 'propagator',
206 'is_part', 'self_antipart', 'type', 'counterterm']
207
208 - def default_setup(self):
209 """Default values for all properties"""
210
211 self['name'] = 'none'
212 self['antiname'] = 'none'
213 self['spin'] = 1
214 self['color'] = 1
215 self['charge'] = 1.
216 self['mass'] = 'ZERO'
217 self['width'] = 'ZERO'
218 self['pdg_code'] = 0
219
220
221 self['line'] = 'dashed'
222
223 self['propagator'] = ''
224 self['is_part'] = True
225 self['self_antipart'] = False
226
227
228 self['type'] = ''
229
230
231 self['counterterm'] = {}
232
233 - def get(self, name):
234
235 if name == 'ghost':
236 return self['type'] == 'ghost'
237 elif name == 'goldstone':
238 return self['type'] == 'goldstone'
239 elif name == 'propagating':
240 return self['line'] is not None
241 else:
242 return super(Particle, self).get(name)
243
244 - def set(self, name, value, force=False):
245
246 if name in ['texname', 'antitexname']:
247 return True
248 elif name == 'propagating':
249 if not value:
250 return self.set('line', None, force=force)
251 elif not self.get('line'):
252 return self.set('line', 'dashed',force=force)
253 return True
254 elif name in ['ghost', 'goldstone']:
255 if self.get('type') == name:
256 if value:
257 return True
258 else:
259 return self.set('type', '', force=force)
260 else:
261 if value:
262 return self.set('type', name, force=force)
263 else:
264 return True
265 return super(Particle, self).set(name, value,force=force)
266
267
268 - def filter(self, name, value):
269 """Filter for valid particle property values."""
270
271 if name in ['name', 'antiname']:
272
273 p=re.compile('''^[\w\-\+~_]+$''')
274 if not p.match(value):
275 raise self.PhysicsObjectError, \
276 "%s is not a valid particle name" % value
277
278 if name is 'ghost':
279 if not isinstance(value,bool):
280 raise self.PhysicsObjectError, \
281 "%s is not a valid bool for the 'ghost' attribute" % str(value)
282
283 if name is 'counterterm':
284 if not isinstance(value,dict):
285 raise self.PhysicsObjectError, \
286 "counterterm %s is not a valid dictionary" % repr(value)
287 for key, val in value.items():
288 if not isinstance(key,tuple):
289 raise self.PhysicsObjectError, \
290 "key %s is not a valid tuple for counterterm key" % repr(key)
291 if not isinstance(key[0],str):
292 raise self.PhysicsObjectError, \
293 "%s is not a valid string" % repr(key[0])
294 if not isinstance(key[1],tuple):
295 raise self.PhysicsObjectError, \
296 "%s is not a valid list" % repr(key[1])
297 for elem in key[1]:
298 if not isinstance(elem,tuple):
299 raise self.PhysicsObjectError, \
300 "%s is not a valid list" % repr(elem)
301 for partPDG in elem:
302 if not isinstance(partPDG,int):
303 raise self.PhysicsObjectError, \
304 "%s is not a valid integer for PDG" % repr(partPDG)
305 if partPDG<=0:
306 raise self.PhysicsObjectError, \
307 "%s is not a valid positive PDG" % repr(partPDG)
308 if not isinstance(val,dict):
309 raise self.PhysicsObjectError, \
310 "value %s is not a valid dictionary for counterterm value" % repr(val)
311 for vkey, vvalue in val.items():
312 if vkey not in [0,-1,-2]:
313 raise self.PhysicsObjectError, \
314 "Key %s is not a valid laurent serie order" % repr(vkey)
315 if not isinstance(vvalue,str):
316 raise self.PhysicsObjectError, \
317 "Coupling %s is not a valid string" % repr(vvalue)
318 if name is 'spin':
319 if not isinstance(value, int):
320 raise self.PhysicsObjectError, \
321 "Spin %s is not an integer" % repr(value)
322 if (value < 1 or value > 5) and value != 99:
323 raise self.PhysicsObjectError, \
324 "Spin %i not valid" % value
325
326 if name is 'color':
327 if not isinstance(value, int):
328 raise self.PhysicsObjectError, \
329 "Color %s is not an integer" % repr(value)
330 if value not in [1, 3, 6, 8]:
331 raise self.PhysicsObjectError, \
332 "Color %i is not valid" % value
333
334 if name in ['mass', 'width']:
335
336 p = re.compile('\A[a-zA-Z]+[\w\_]*\Z')
337 if not p.match(value):
338 raise self.PhysicsObjectError, \
339 "%s is not a valid name for mass/width variable" % \
340 value
341
342 if name is 'pdg_code':
343 if not isinstance(value, int):
344 raise self.PhysicsObjectError, \
345 "PDG code %s is not an integer" % repr(value)
346
347 if name is 'line':
348 if not isinstance(value, str):
349 raise self.PhysicsObjectError, \
350 "Line type %s is not a string" % repr(value)
351 if value not in ['dashed', 'straight', 'wavy', 'curly', 'double','swavy','scurly','dotted']:
352 raise self.PhysicsObjectError, \
353 "Line type %s is unknown" % value
354
355 if name is 'charge':
356 if not isinstance(value, float):
357 raise self.PhysicsObjectError, \
358 "Charge %s is not a float" % repr(value)
359
360 if name is 'propagating':
361 if not isinstance(value, bool):
362 raise self.PhysicsObjectError, \
363 "Propagating tag %s is not a boolean" % repr(value)
364
365 if name in ['is_part', 'self_antipart']:
366 if not isinstance(value, bool):
367 raise self.PhysicsObjectError, \
368 "%s tag %s is not a boolean" % (name, repr(value))
369
370 return True
371
372 - def get_sorted_keys(self):
373 """Return particle property names as a nicely sorted list."""
374
375 return self.sorted_keys
376
377
378
379 - def is_perturbating(self,order,model):
380 """Returns wether this particle contributes in perturbation of the order passed
381 in argument given the model specified. It is very fast for usual models"""
382
383 for int in model['interactions'].get_type('base'):
384
385
386
387
388
389
390
391
392 if len(int.get('orders'))>1:
393 continue
394 if order in int.get('orders').keys() and self.get('pdg_code') in \
395 [part.get('pdg_code') for part in int.get('particles')]:
396 return True
397
398 return False
399
400 - def get_pdg_code(self):
401 """Return the PDG code with a correct minus sign if the particle is its
402 own antiparticle"""
403
404 if not self['is_part'] and not self['self_antipart']:
405 return - self['pdg_code']
406 else:
407 return self['pdg_code']
408
410 """Return the PDG code of the antiparticle with a correct minus sign
411 if the particle is its own antiparticle"""
412
413 if not self['self_antipart']:
414 return - self.get_pdg_code()
415 else:
416 return self['pdg_code']
417
418 - def get_color(self):
419 """Return the color code with a correct minus sign"""
420
421 if not self['is_part'] and abs(self['color']) in [3, 6]:
422 return - self['color']
423 else:
424 return self['color']
425
426 - def get_anti_color(self):
427 """Return the color code of the antiparticle with a correct minus sign
428 """
429
430 if self['is_part'] and self['color'] not in [1, 8]:
431 return - self['color']
432 else:
433 return self['color']
434
435 - def get_charge(self):
436 """Return the charge code with a correct minus sign"""
437
438 if not self['is_part']:
439 return - self['charge']
440 else:
441 return self['charge']
442
443 - def get_anti_charge(self):
444 """Return the charge code of the antiparticle with a correct minus sign
445 """
446
447 if self['is_part']:
448 return - self['charge']
449 else:
450 return self['charge']
451
452 - def get_name(self):
453 """Return the name if particle, antiname if antiparticle"""
454
455 if not self['is_part'] and not self['self_antipart']:
456 return self['antiname']
457 else:
458 return self['name']
459
460 - def get_helicity_states(self, allow_reverse=True):
461 """Return a list of the helicity states for the onshell particle"""
462
463 spin = self.get('spin')
464 if spin ==1:
465
466 res = [ 0 ]
467 elif spin == 2:
468
469 res = [ -1, 1 ]
470 elif spin == 3 and self.get('mass').lower() == 'zero':
471
472 res = [ -1, 1 ]
473 elif spin == 3:
474
475 res = [ -1, 0, 1 ]
476 elif spin == 4 and self.get('mass').lower() == 'zero':
477
478 res = [-3, 3]
479 elif spin == 4:
480
481 res = [-3, -1, 1, 3]
482 elif spin == 5 and self.get('mass').lower() == 'zero':
483
484 res = [-2, -1, 1, 2]
485 elif spin in [5, 99]:
486
487 res = [-2, -1, 0, 1, 2]
488 else:
489 raise self.PhysicsObjectError, \
490 "No helicity state assignment for spin %d particles" % spin
491
492 if allow_reverse and not self.get('is_part'):
493 res.reverse()
494
495
496 return res
497
498 - def is_fermion(self):
499 """Returns True if this is a fermion, False if boson"""
500
501 return self['spin'] % 2 == 0
502
503 - def is_boson(self):
504 """Returns True if this is a boson, False if fermion"""
505
506 return self['spin'] % 2 == 1
507
508
509
510
511 -class ParticleList(PhysicsObjectList):
512 """A class to store lists of particles."""
513
514 - def is_valid_element(self, obj):
515 """Test if object obj is a valid Particle for the list."""
516 return isinstance(obj, Particle)
517
518 - def get_copy(self, name):
519 """Try to find a particle with the given name. Check both name
520 and antiname. If a match is found, return the a copy of the
521 corresponding particle (first one in the list), with the
522 is_part flag set accordingly. None otherwise."""
523
524 assert isinstance(name, str)
525
526 part = self.find_name(name)
527 if not part:
528
529 try:
530 pdg = int(name)
531 except ValueError:
532 return None
533
534 for p in self:
535 if p.get_pdg_code()==pdg:
536 part = copy.copy(p)
537 part.set('is_part', True)
538 return part
539 elif p.get_anti_pdg_code()==pdg:
540 part = copy.copy(p)
541 part.set('is_part', False)
542 return part
543
544 return None
545 part = copy.copy(part)
546
547 if part.get('name') == name:
548 part.set('is_part', True)
549 return part
550 elif part.get('antiname') == name:
551 part.set('is_part', False)
552 return part
553 return None
554
555 - def find_name(self, name):
556 """Try to find a particle with the given name. Check both name
557 and antiname. If a match is found, return the a copy of the
558 corresponding particle (first one in the list), with the
559 is_part flag set accordingly. None otherwise."""
560
561 assert isinstance(name, str), "%s is not a valid string" % str(name)
562
563 for part in self:
564 if part.get('name') == name:
565 return part
566 elif part.get('antiname') == name:
567 return part
568
569 return None
570
572 """Generate a dictionary of part/antipart pairs (as keys) and
573 0 (as value)"""
574
575 ref_dict_to0 = {}
576
577 for part in self:
578 ref_dict_to0[(part.get_pdg_code(), part.get_anti_pdg_code())] = [0]
579 ref_dict_to0[(part.get_anti_pdg_code(), part.get_pdg_code())] = [0]
580
581 return ref_dict_to0
582
583 - def generate_dict(self):
584 """Generate a dictionary from particle id to particle.
585 Include antiparticles.
586 """
587
588 particle_dict = {}
589
590 for particle in self:
591 particle_dict[particle.get('pdg_code')] = particle
592 if not particle.get('self_antipart'):
593 antipart = copy.deepcopy(particle)
594 antipart.set('is_part', False)
595 particle_dict[antipart.get_pdg_code()] = antipart
596
597 return particle_dict
598
604 """The interaction object containing the whole set of information
605 required to univocally characterize a given type of physical interaction:
606
607 particles: a list of particle ids
608 color: a list of string describing all the color structures involved
609 lorentz: a list of variable names describing all the Lorentz structure
610 involved
611 couplings: dictionary listing coupling variable names. The key is a
612 2-tuple of integers referring to color and Lorentz structures
613 orders: dictionary listing order names (as keys) with their value
614 """
615
616 sorted_keys = ['id', 'particles', 'color', 'lorentz', 'couplings',
617 'orders','loop_particles','type','perturbation_type']
618
620 """Default values for all properties"""
621
622 self['id'] = 0
623 self['particles'] = []
624 self['color'] = []
625 self['lorentz'] = []
626 self['couplings'] = { (0, 0):'none'}
627 self['orders'] = {}
628
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681
682 self['loop_particles']=[[]]
683 self['type'] = 'base'
684 self['perturbation_type'] = None
685
686 - def filter(self, name, value):
687 """Filter for valid interaction property values."""
688
689 if name == 'id':
690
691 if not isinstance(value, int):
692 raise self.PhysicsObjectError, \
693 "%s is not a valid integer" % str(value)
694
695 if name == 'particles':
696
697 if not isinstance(value, ParticleList):
698 raise self.PhysicsObjectError, \
699 "%s is not a valid list of particles" % str(value)
700
701 if name == 'perturbation_type':
702 if value!=None and not isinstance(value, str):
703 raise self.PhysicsObjectError, \
704 "%s is not a valid string" % str(value)
705
706 if name == 'type':
707
708 if not isinstance(value, str):
709 raise self.PhysicsObjectError, \
710 "%s is not a valid string" % str(value)
711 if name == 'loop_particles':
712 if isinstance(value,list):
713 for l in value:
714 if isinstance(l,list):
715 for part in l:
716 if not isinstance(part,int):
717 raise self.PhysicsObjectError, \
718 "%s is not a valid integer" % str(part)
719 if part<0:
720 raise self.PhysicsObjectError, \
721 "%s is not a valid positive integer" % str(part)
722
723 if name == 'orders':
724
725 if not isinstance(value, dict):
726 raise self.PhysicsObjectError, \
727 "%s is not a valid dict for coupling orders" % \
728 str(value)
729 for order in value.keys():
730 if not isinstance(order, str):
731 raise self.PhysicsObjectError, \
732 "%s is not a valid string" % str(order)
733 if not isinstance(value[order], int):
734 raise self.PhysicsObjectError, \
735 "%s is not a valid integer" % str(value[order])
736
737 if name in ['color']:
738
739 if not isinstance(value, list):
740 raise self.PhysicsObjectError, \
741 "%s is not a valid list of Color Strings" % str(value)
742 for mycolstring in value:
743 if not isinstance(mycolstring, color.ColorString):
744 raise self.PhysicsObjectError, \
745 "%s is not a valid list of Color Strings" % str(value)
746
747 if name in ['lorentz']:
748
749 if not isinstance(value, list):
750 raise self.PhysicsObjectError, \
751 "%s is not a valid list of strings" % str(value)
752 for mystr in value:
753 if not isinstance(mystr, str):
754 raise self.PhysicsObjectError, \
755 "%s is not a valid string" % str(mystr)
756
757 if name == 'couplings':
758
759 if not isinstance(value, dict):
760 raise self.PhysicsObjectError, \
761 "%s is not a valid dictionary for couplings" % \
762 str(value)
763
764 for key in value.keys():
765 if not isinstance(key, tuple):
766 raise self.PhysicsObjectError, \
767 "%s is not a valid tuple" % str(key)
768 if len(key) != 2:
769 raise self.PhysicsObjectError, \
770 "%s is not a valid tuple with 2 elements" % str(key)
771 if not isinstance(key[0], int) or not isinstance(key[1], int):
772 raise self.PhysicsObjectError, \
773 "%s is not a valid tuple of integer" % str(key)
774 if not isinstance(value[key], str):
775 raise self.PhysicsObjectError, \
776 "%s is not a valid string" % value[key]
777
778 return True
779
781 """Return particle property names as a nicely sorted list."""
782
783 return self.sorted_keys
784
786 """ Returns if this interaction comes from the perturbation of one of
787 the order listed in the argument """
788
789 if self['perturbation_type']==None:
790 return True
791 else:
792 return (self['perturbation_type'] in orders_considered)
793
795 """ Returns if the interaction is of R2 type."""
796
797
798
799 if 'type' in self.keys():
800 return (len(self['type'])>=2 and self['type'][:2]=='R2')
801 else:
802 return False
803
805 """ Returns if the interaction is of UV type."""
806
807
808
809 if 'type' in self.keys():
810 return (len(self['type'])>=2 and self['type'][:2]=='UV')
811 else:
812 return False
813
815 """ Returns if the interaction is of UVmass type."""
816
817
818
819 if 'type' in self.keys():
820 return (len(self['type'])>=6 and self['type'][:6]=='UVmass')
821 else:
822 return False
823
825 """ Returns if the interaction is of UVmass type."""
826
827
828
829 if 'type' in self.keys():
830 return (len(self['type'])>=6 and self['type'][:6]=='UVloop')
831 else:
832 return False
833
835 """ Returns if the interaction is of UVmass type."""
836
837
838
839 if 'type' in self.keys():
840 return (len(self['type'])>=6 and self['type'][:6]=='UVtree')
841 else:
842 return False
843
845 """ Returns if the interaction is of the UVCT type which means that
846 it has been selected as a possible UV counterterm interaction for this
847 process. Such interactions are marked by having the 'UVCT_SPECIAL' order
848 key in their orders."""
849
850
851
852 if 'UVCT_SPECIAL' in self['orders'].keys():
853 return True
854 else:
855 return False
856
858 """ Returns 0 if this interaction contributes to the finite part of the
859 amplitude and 1 (2) is it contributes to its single (double) pole """
860
861 if 'type' in self.keys():
862 if '1eps' in self['type']:
863 return 1
864 elif '2eps' in self['type']:
865 return 2
866 else:
867 return 0
868 else:
869 return 0
870
872 """Add entries corresponding to the current interactions to
873 the reference dictionaries (for n>0 and n-1>1)"""
874
875
876
877
878 pdg_tuple = tuple(sorted([p.get_pdg_code() for p in self['particles']]))
879 if pdg_tuple not in ref_dict_to0.keys():
880 ref_dict_to0[pdg_tuple] = [self['id']]
881 else:
882 ref_dict_to0[pdg_tuple].append(self['id'])
883
884
885
886
887
888
889
890 for part in self['particles']:
891
892
893 pdg_tuple = tuple(sorted([p.get_pdg_code() for (i, p) in \
894 enumerate(self['particles']) if \
895 i != self['particles'].index(part)]))
896 pdg_part = part.get_anti_pdg_code()
897 if pdg_tuple in ref_dict_to1.keys():
898 if (pdg_part, self['id']) not in ref_dict_to1[pdg_tuple]:
899 ref_dict_to1[pdg_tuple].append((pdg_part, self['id']))
900 else:
901 ref_dict_to1[pdg_tuple] = [(pdg_part, self['id'])]
902
904 """Get the WEIGHTED order for this interaction, for equivalent
905 3-particle vertex. Note that it can be fractional."""
906
907 return float(sum([model.get('order_hierarchy')[key]*self.get('orders')[key]\
908 for key in self.get('orders')]))/ \
909 max((len(self.get('particles'))-2), 1)
910
912 """String representation of an interaction. Outputs valid Python
913 with improved format. Overrides the PhysicsObject __str__ to only
914 display PDG code of involved particles."""
915
916 mystr = '{\n'
917
918 for prop in self.get_sorted_keys():
919 if isinstance(self[prop], str):
920 mystr = mystr + ' \'' + prop + '\': \'' + \
921 self[prop] + '\',\n'
922 elif isinstance(self[prop], float):
923 mystr = mystr + ' \'' + prop + '\': %.2f,\n' % self[prop]
924 elif isinstance(self[prop], ParticleList):
925 mystr = mystr + ' \'' + prop + '\': [%s],\n' % \
926 ','.join([str(part.get_pdg_code()) for part in self[prop]])
927 else:
928 mystr = mystr + ' \'' + prop + '\': ' + \
929 repr(self[prop]) + ',\n'
930 mystr = mystr.rstrip(',\n')
931 mystr = mystr + '\n}'
932
933 return mystr
934
939 """A class to store lists of interactionss."""
940
942 """Test if object obj is a valid Interaction for the list."""
943
944 return isinstance(obj, Interaction)
945
947 """Generate the reference dictionaries from interaction list.
948 Return a list where the first element is the n>0 dictionary and
949 the second one is n-1>1."""
950
951 ref_dict_to0 = {}
952 ref_dict_to1 = {}
953 buffer = {}
954
955 for inter in self:
956 if useR2UV or (not inter.is_UV() and not inter.is_R2() and \
957 not inter.is_UVCT()):
958 inter.generate_dict_entries(ref_dict_to0, ref_dict_to1)
959 if useUVCT and inter.is_UVCT():
960 inter.generate_dict_entries(ref_dict_to0, ref_dict_to1)
961
962 return [ref_dict_to0, ref_dict_to1]
963
965 """Generate a dictionary from interaction id to interaction.
966 """
967
968 interaction_dict = {}
969
970 for inter in self:
971 interaction_dict[inter.get('id')] = inter
972
973 return interaction_dict
974
976 """Make sure that the particles in the interactions are those
977 in the particle_dict, and that there are no interactions
978 refering to particles that don't exist. To be called when the
979 particle_dict is updated in a model.
980 """
981
982 iint = 0
983 while iint < len(self):
984 inter = self[iint]
985 particles = inter.get('particles')
986 try:
987 for ipart, part in enumerate(particles):
988 particles[ipart] = particle_dict[part.get_pdg_code()]
989 iint += 1
990 except KeyError:
991
992 self.pop(iint)
993
995 """ return all interactions in the list of type 'type' """
996 return InteractionList([int for int in self if int.get('type')==type])
997
999 """ return all interactions in the list of type R2 """
1000 return InteractionList([int for int in self if int.is_R2()])
1001
1003 """ return all interactions in the list of type UV """
1004 return InteractionList([int for int in self if int.is_UV()])
1005
1007 """ return all interactions in the list of type UVmass """
1008 return InteractionList([int for int in self if int.is_UVmass()])
1009
1011 """ return all interactions in the list of type UVtree """
1012 return InteractionList([int for int in self if int.is_UVtree()])
1013
1015 """ return all interactions in the list of type UVloop """
1016 return InteractionList([int for int in self if int.is_UVloop()])
1017
1018
1019
1020
1021 -class Model(PhysicsObject):
1022 """A class to store all the model information."""
1023
1024 mg5_name = False
1025
1027
1028 self['name'] = ""
1029 self['particles'] = ParticleList()
1030 self['interactions'] = InteractionList()
1031 self['parameters'] = None
1032 self['functions'] = None
1033 self['couplings'] = None
1034 self['lorentz'] = None
1035 self['particle_dict'] = {}
1036 self['interaction_dict'] = {}
1037 self['ref_dict_to0'] = {}
1038 self['ref_dict_to1'] = {}
1039 self['got_majoranas'] = None
1040 self['order_hierarchy'] = {}
1041 self['conserved_charge'] = set()
1042 self['coupling_orders'] = None
1043 self['expansion_order'] = None
1044 self['version_tag'] = None
1045 self['gauge'] = [0, 1]
1046 self['case_sensitive'] = True
1047
1048
1049
1050
1051
1052 - def filter(self, name, value):
1053 """Filter for model property values"""
1054
1055 if name in ['name']:
1056 if not isinstance(value, str):
1057 raise self.PhysicsObjectError, \
1058 "Object of type %s is not a string" %type(value)
1059
1060 elif name == 'particles':
1061 if not isinstance(value, ParticleList):
1062 raise self.PhysicsObjectError, \
1063 "Object of type %s is not a ParticleList object" % \
1064 type(value)
1065 elif name == 'interactions':
1066 if not isinstance(value, InteractionList):
1067 raise self.PhysicsObjectError, \
1068 "Object of type %s is not a InteractionList object" % \
1069 type(value)
1070 elif name == 'particle_dict':
1071 if not isinstance(value, dict):
1072 raise self.PhysicsObjectError, \
1073 "Object of type %s is not a dictionary" % \
1074 type(value)
1075 elif name == 'interaction_dict':
1076 if not isinstance(value, dict):
1077 raise self.PhysicsObjectError, \
1078 "Object of type %s is not a dictionary" % type(value)
1079
1080 elif name == 'ref_dict_to0':
1081 if not isinstance(value, dict):
1082 raise self.PhysicsObjectError, \
1083 "Object of type %s is not a dictionary" % type(value)
1084
1085 elif name == 'ref_dict_to1':
1086 if not isinstance(value, dict):
1087 raise self.PhysicsObjectError, \
1088 "Object of type %s is not a dictionary" % type(value)
1089
1090 elif name == 'got_majoranas':
1091 if not (isinstance(value, bool) or value == None):
1092 raise self.PhysicsObjectError, \
1093 "Object of type %s is not a boolean" % type(value)
1094
1095 elif name == 'conserved_charge':
1096 if not (isinstance(value, set)):
1097 raise self.PhysicsObjectError, \
1098 "Object of type %s is not a set" % type(value)
1099
1100 elif name == 'version_tag':
1101 if not (isinstance(value, str)):
1102 raise self.PhysicsObjectError, \
1103 "Object of type %s is not a string" % type(value)
1104
1105 elif name == 'order_hierarchy':
1106 if not isinstance(value, dict):
1107 raise self.PhysicsObjectError, \
1108 "Object of type %s is not a dictionary" % \
1109 type(value)
1110 for key in value.keys():
1111 if not isinstance(value[key],int):
1112 raise self.PhysicsObjectError, \
1113 "Object of type %s is not an integer" % \
1114 type(value[key])
1115 elif name == 'gauge':
1116 if not (isinstance(value, list)):
1117 raise self.PhysicsObjectError, \
1118 "Object of type %s is not a list" % type(value)
1119
1120 elif name == 'case_sensitive':
1121 if not value in [True ,False]:
1122 raise self.PhysicsObjectError, \
1123 "Object of type %s is not a boolean" % type(value)
1124
1125
1126 return True
1127
1128 - def get(self, name):
1129 """Get the value of the property name."""
1130
1131 if (name == 'ref_dict_to0' or name == 'ref_dict_to1') and \
1132 not self[name]:
1133 if self['interactions']:
1134 [self['ref_dict_to0'], self['ref_dict_to1']] = \
1135 self['interactions'].generate_ref_dict()
1136 self['ref_dict_to0'].update(
1137 self['particles'].generate_ref_dict())
1138
1139 if (name == 'particle_dict') and not self[name]:
1140 if self['particles']:
1141 self['particle_dict'] = self['particles'].generate_dict()
1142 if self['interactions']:
1143 self['interactions'].synchronize_interactions_with_particles(\
1144 self['particle_dict'])
1145 if name == 'modelpath':
1146 modeldir = self.get('version_tag').rsplit('##',1)[0]
1147 if os.path.exists(modeldir):
1148 modeldir = os.path.expanduser(modeldir)
1149 return modeldir
1150 else:
1151 raise Exception, "path %s not valid anymore." % modeldir
1152
1153
1154
1155
1156
1157 elif name == 'modelpath+restriction':
1158 modeldir = self.get('version_tag').rsplit('##',1)[0]
1159 modelname = self['name']
1160 if not os.path.exists(modeldir):
1161 raise Exception, "path %s not valid anymore" % modeldir
1162 modeldir = os.path.dirname(modeldir)
1163 modeldir = pjoin(modeldir, modelname)
1164 modeldir = os.path.expanduser(modeldir)
1165 return modeldir
1166 elif name == 'restrict_name':
1167 modeldir = self.get('version_tag').rsplit('##',1)[0]
1168 modelname = self['name']
1169 basename = os.path.basename(modeldir)
1170 restriction = modelname[len(basename)+1:]
1171 return restriction
1172
1173 if (name == 'interaction_dict') and not self[name]:
1174 if self['interactions']:
1175 self['interaction_dict'] = self['interactions'].generate_dict()
1176
1177 if (name == 'got_majoranas') and self[name] == None:
1178 if self['particles']:
1179 self['got_majoranas'] = self.check_majoranas()
1180
1181 if (name == 'coupling_orders') and self[name] == None:
1182 if self['interactions']:
1183 self['coupling_orders'] = self.get_coupling_orders()
1184
1185 if (name == 'order_hierarchy') and not self[name]:
1186 if self['interactions']:
1187 self['order_hierarchy'] = self.get_order_hierarchy()
1188
1189 if (name == 'expansion_order') and self[name] == None:
1190 if self['interactions']:
1191 self['expansion_order'] = \
1192 dict([(order, -1) for order in self.get('coupling_orders')])
1193
1194 if (name == 'name2pdg') and 'name2pdg' not in self:
1195 self['name2pdg'] = {}
1196 for p in self.get('particles'):
1197 self['name2pdg'][p.get('antiname')] = -1*p.get('pdg_code')
1198 self['name2pdg'][p.get('name')] = p.get('pdg_code')
1199
1200 return Model.__bases__[0].get(self, name)
1201
1202 - def set(self, name, value, force = False):
1203 """Special set for particles and interactions - need to
1204 regenerate dictionaries."""
1205
1206 if name == 'particles':
1207
1208 make_unique(value)
1209
1210 self['particle_dict'] = {}
1211 self['ref_dict_to0'] = {}
1212 self['got_majoranas'] = None
1213
1214 if name == 'interactions':
1215
1216 make_unique(value)
1217
1218 self['interaction_dict'] = {}
1219 self['ref_dict_to1'] = {}
1220 self['ref_dict_to0'] = {}
1221 self['got_majoranas'] = None
1222 self['coupling_orders'] = None
1223 self['order_hierarchy'] = {}
1224 self['expansion_order'] = None
1225
1226 result = Model.__bases__[0].set(self, name, value, force)
1227
1228 if name == 'particles':
1229
1230 self.get('particle_dict')
1231
1232 return result
1233
1235 """This function actualizes the dictionaries"""
1236
1237 [self['ref_dict_to0'], self['ref_dict_to1']] = \
1238 self['interactions'].generate_ref_dict()
1239 self['ref_dict_to0'].update(
1240 self['particles'].generate_ref_dict())
1241
1243 """Return process property names as a nicely sorted list."""
1244
1245 return ['name', 'particles', 'parameters', 'interactions',
1246 'couplings','lorentz', 'gauge']
1247
1248 - def get_particle(self, id):
1249 """Return the particle corresponding to the id / name"""
1250
1251 try:
1252 return self["particle_dict"][id]
1253 except Exception:
1254 if isinstance(id, int):
1255 try:
1256 return self.get("particle_dict")[id]
1257 except Exception, error:
1258 return None
1259 else:
1260 if not hasattr(self, 'name2part'):
1261 self.create_name2part()
1262 try:
1263 return self.name2part[id]
1264 except:
1265 return None
1266
1268 """create a dictionary name 2 part"""
1269
1270 self.name2part = {}
1271 for part in self.get("particle_dict").values():
1272 self.name2part[part.get('name')] = part
1273 self.name2part[part.get('antiname')] = part
1274
1276 """return the lorentz object from the associate name"""
1277 if hasattr(self, 'lorentz_name2obj'):
1278 return self.lorentz_name2obj[name]
1279 else:
1280 self.create_lorentz_dict()
1281 return self.lorentz_name2obj[name]
1282
1284 """create the dictionary linked to the lorentz structure"""
1285 self.lorentz_name2obj = {}
1286 self.lorentz_expr2name = {}
1287 if not self.get('lorentz'):
1288 return
1289 for lor in self.get('lorentz'):
1290 self.lorentz_name2obj[lor.name] = lor
1291 self.lorentz_expr2name[lor.structure] = lor.name
1292
1294 """Return the interaction corresponding to the id"""
1295
1296 try:
1297 return self.get("interaction_dict")[id]
1298 except Exception:
1299 return None
1300
1302 """Return the parameter associated to the name NAME"""
1303
1304
1305 if hasattr(self, 'parameters_dict') and self.parameters_dict:
1306 try:
1307 return self.parameters_dict[name]
1308 except Exception:
1309
1310 pass
1311
1312
1313 self.parameters_dict = {}
1314 for data in self['parameters'].values():
1315 [self.parameters_dict.__setitem__(p.name,p) for p in data]
1316
1317 return self.parameters_dict[name]
1318
1320 """Determine the coupling orders of the model"""
1321 return set(sum([i.get('orders').keys() for i in \
1322 self.get('interactions')], []))
1323
1325 """Set a default order hierarchy for the model if not set by the UFO."""
1326
1327 hierarchy = dict([(order, 1) for order in self.get('coupling_orders')])
1328
1329 if self.get('coupling_orders') == set(['QCD', 'QED']):
1330 hierarchy['QED'] = 2
1331 return hierarchy
1332
1333
1335 """returns the number of light quark flavours in the model."""
1336 return len([p for p in self.get('particles') \
1337 if p['spin'] == 2 and p['is_part'] and \
1338 p ['color'] != 1 and p['mass'].lower() == 'zero'])
1339
1340
1342 """Returns the order hierarchies of the model and the
1343 particles which have interactions in at least this hierarchy
1344 (used in find_optimal_process_orders in MultiProcess diagram
1345 generation):
1346
1347 Check the coupling hierarchy of the model. Assign all
1348 particles to the different coupling hierarchies so that a
1349 particle is considered to be in the highest hierarchy (i.e.,
1350 with lowest value) where it has an interaction.
1351 """
1352
1353
1354 coupling_orders = self.get('coupling_orders')
1355
1356
1357 hierarchy = sorted(list(set([self.get('order_hierarchy')[k] for \
1358 k in coupling_orders])))
1359
1360
1361 orders = []
1362 for value in hierarchy:
1363 orders.append([ k for (k, v) in \
1364 self.get('order_hierarchy').items() if \
1365 v == value ])
1366
1367
1368
1369 interactions = []
1370 particles = []
1371 for iorder, order in enumerate(orders):
1372 sum_orders = sum(orders[:iorder+1], [])
1373 sum_interactions = sum(interactions[:iorder], [])
1374 sum_particles = sum([list(p) for p in particles[:iorder]], [])
1375
1376
1377 interactions.append([i for i in self.get('interactions') if \
1378 not i in sum_interactions and \
1379 not any([k not in sum_orders for k in \
1380 i.get('orders').keys()])])
1381
1382
1383 particles.append(set(sum([[p.get_pdg_code() for p in \
1384 inter.get('particles') if \
1385 p.get_pdg_code() not in sum_particles] \
1386 for inter in interactions[-1]], [])))
1387
1388 return particles, hierarchy
1389
1391 """Return the maximum WEIGHTED order for any interaction in the model,
1392 for equivalent 3-particle vertices. Note that it can be fractional."""
1393
1394 return max([inter.get_WEIGHTED_order(self) for inter in \
1395 self.get('interactions')])
1396
1397
1399 """Return True if there is fermion flow violation, False otherwise"""
1400
1401 if any([part.is_fermion() and part.get('self_antipart') \
1402 for part in self.get('particles')]):
1403 return True
1404
1405
1406
1407 for inter in self.get('interactions'):
1408
1409 if len(inter.get('particles'))==1:
1410 continue
1411 fermions = [p for p in inter.get('particles') if p.is_fermion()]
1412 for i in range(0, len(fermions), 2):
1413 if fermions[i].get('is_part') == \
1414 fermions[i+1].get('is_part'):
1415
1416 return True
1417
1418 return False
1419
1421 """Reset all dictionaries and got_majoranas. This is necessary
1422 whenever the particle or interaction content has changed. If
1423 particles or interactions are set using the set routine, this
1424 is done automatically."""
1425
1426 self['particle_dict'] = {}
1427 self['ref_dict_to0'] = {}
1428 self['got_majoranas'] = None
1429 self['interaction_dict'] = {}
1430 self['ref_dict_to1'] = {}
1431 self['ref_dict_to0'] = {}
1432
1434 """Change the name of the particles such that all SM and MSSM particles
1435 follows the MG convention"""
1436
1437 self.mg5_name = True
1438
1439
1440 def check_name_free(self, name):
1441 """ check if name is not use for a particle in the model if it is
1442 raise an MadGraph5error"""
1443 part = self['particles'].find_name(name)
1444 if part:
1445 error_text = \
1446 '%s particles with pdg code %s is in conflict with MG ' + \
1447 'convention name for particle %s.\n Use -modelname in order ' + \
1448 'to use the particles name defined in the model and not the ' + \
1449 'MadGraph5_aMC@NLO convention'
1450
1451 raise MadGraph5Error, error_text % \
1452 (part.get_name(), part.get_pdg_code(), pdg)
1453
1454 default = self.load_default_name()
1455
1456 for pdg in default.keys():
1457 part = self.get_particle(pdg)
1458 if not part:
1459 continue
1460 antipart = self.get_particle(-pdg)
1461 name = part.get_name()
1462 if name != default[pdg]:
1463 check_name_free(self, default[pdg])
1464 if part.get('is_part'):
1465 part.set('name', default[pdg])
1466 if antipart:
1467 antipart.set('name', default[pdg])
1468 else:
1469 part.set('antiname', default[pdg])
1470 else:
1471 part.set('antiname', default[pdg])
1472 if antipart:
1473 antipart.set('antiname', default[pdg])
1474
1475
1476 if self.get('name') == 'mssm' or self.get('name').startswith('mssm-'):
1477 part = self.get_particle(25)
1478 part.set('name', 'h1')
1479 part.set('antiname', 'h1')
1480
1481
1482
1484 """ Change all model parameter by a given prefix.
1485 Modify the parameter if some of them are identical up to the case"""
1486
1487 lower_dict={}
1488 duplicate = set()
1489 keys = self.get('parameters').keys()
1490 for key in keys:
1491 for param in self['parameters'][key]:
1492 lower_name = param.name.lower()
1493 if not lower_name:
1494 continue
1495 try:
1496 lower_dict[lower_name].append(param)
1497 except KeyError:
1498 lower_dict[lower_name] = [param]
1499 else:
1500 duplicate.add(lower_name)
1501 logger.debug('%s is defined both as lower case and upper case.'
1502 % lower_name)
1503
1504 if prefix == '' and not duplicate:
1505 return
1506
1507 re_expr = r'''\b(%s)\b'''
1508 to_change = []
1509 change={}
1510
1511 for key in keys:
1512 for param in self['parameters'][key]:
1513 value = param.name.lower()
1514 if value in ['as','mu_r', 'zero','aewm1','g']:
1515 continue
1516 elif value.startswith(prefix):
1517 continue
1518 elif value in duplicate:
1519 continue
1520 elif value:
1521 change[param.name] = '%s%s' % (prefix,param.name)
1522 to_change.append(param.name)
1523 param.name = change[param.name]
1524
1525 for value in duplicate:
1526 for i, var in enumerate(lower_dict[value]):
1527 to_change.append(var.name)
1528 new_name = '%s%s%s' % (prefix, var.name.lower(),
1529 ('__%d'%(i+1) if i>0 else ''))
1530 change[var.name] = new_name
1531 var.name = new_name
1532 to_change.append(var.name)
1533 assert 'zero' not in to_change
1534 replace = lambda match_pattern: change[match_pattern.groups()[0]]
1535
1536 if not to_change:
1537 return
1538
1539 if 'parameter_dict' in self:
1540 new_dict = dict( (change[name] if (name in change) else name, value) for
1541 name, value in self['parameter_dict'].items())
1542 self['parameter_dict'] = new_dict
1543
1544 if hasattr(self,'map_CTcoup_CTparam'):
1545
1546
1547 self.map_CTcoup_CTparam = dict( (coup_name,
1548 [change[name] if (name in change) else name for name in params])
1549 for coup_name, params in self.map_CTcoup_CTparam.items() )
1550
1551 i=0
1552 while i*1000 <= len(to_change):
1553 one_change = to_change[i*1000: min((i+1)*1000,len(to_change))]
1554 i+=1
1555 rep_pattern = re.compile('\\b%s\\b'% (re_expr % ('\\b|\\b'.join(one_change))))
1556
1557
1558 for key in keys:
1559 if key == ('external',):
1560 continue
1561 for param in self['parameters'][key]:
1562 param.expr = rep_pattern.sub(replace, param.expr)
1563
1564 for key in self['couplings'].keys():
1565 for coup in self['couplings'][key]:
1566 coup.expr = rep_pattern.sub(replace, coup.expr)
1567
1568
1569 for part in self['particles']:
1570 if str(part.get('mass')) in one_change:
1571 part.set('mass', rep_pattern.sub(replace, str(part.get('mass'))))
1572 if str(part.get('width')) in one_change:
1573 part.set('width', rep_pattern.sub(replace, str(part.get('width'))))
1574 if hasattr(part, 'partial_widths'):
1575 for key, value in part.partial_widths.items():
1576 part.partial_widths[key] = rep_pattern.sub(replace, value)
1577
1578
1579 self['particle_dict'] =''
1580 self.get('particle_dict')
1581
1582
1583
1585 """Return the first positive number that is not a valid PDG code"""
1586 return [c for c in range(1, len(self.get('particles')) + 1) if \
1587 c not in self.get('particle_dict').keys()][0]
1588
1589
1591 """Write out the param_card, and return as string."""
1592
1593 import models.write_param_card as writer
1594 if not filepath:
1595 out = StringIO.StringIO()
1596 else:
1597 out = filepath
1598 param = writer.ParamCardWriter(self, filepath=out)
1599 if not filepath:
1600 return out.getvalue()
1601 else:
1602 return param
1603
1604 @ staticmethod
1606 """ load the default for name convention """
1607
1608 logger.info('Change particles name to pass to MG5 convention')
1609 default = {}
1610 for line in open(os.path.join(MG5DIR, 'input', \
1611 'particles_name_default.txt')):
1612 line = line.lstrip()
1613 if line.startswith('#'):
1614 continue
1615
1616 args = line.split()
1617 if len(args) != 2:
1618 logger.warning('Invalid syntax in interface/default_name:\n %s' % line)
1619 continue
1620 default[int(args[0])] = args[1].lower()
1621
1622 return default
1623
1625 """Change the electroweak mode. The only valid mode now is external.
1626 Where in top of the default MW and sw2 are external parameters."""
1627
1628 assert mode in ["external",set(['mz','mw','alpha'])]
1629
1630 try:
1631 W = self.get('particle_dict')[24]
1632 except KeyError:
1633 raise InvalidCmd('No W particle in the model impossible to '+
1634 'change the EW scheme!')
1635
1636 if mode=='external':
1637 MW = self.get_parameter(W.get('mass'))
1638 if not isinstance(MW, ParamCardVariable):
1639 newMW = ParamCardVariable(MW.name, MW.value, 'MASS', [24])
1640 if not newMW.value:
1641 newMW.value = 80.385
1642
1643 self.get('parameters')[MW.depend].remove(MW)
1644
1645 self.add_param(newMW, ['external'])
1646
1647
1648 try:
1649 sw2 = self.get_parameter('sw2')
1650 except KeyError:
1651 try:
1652 sw2 = self.get_parameter('mdl_sw2')
1653 except KeyError:
1654 sw2=None
1655
1656 if sw2:
1657 newsw2 = ParamCardVariable(sw2.name,sw2.value, 'SMINPUTS', [4])
1658 if not newsw2.value:
1659 newsw2.value = 0.222246485786
1660
1661 self.get('parameters')[sw2.depend].remove(sw2)
1662
1663 self.add_param(newsw2, ['external'])
1664
1665 self.parameters_dict = None
1666 return true
1667
1668 elif mode==set(['mz','mw','alpha']):
1669
1670 W = self.get('particle_dict')[24]
1671 mass = self.get_parameter(W.get('mass'))
1672 mass_expr = 'cmath.sqrt(%(prefix)sMZ__exp__2/2. + cmath.sqrt('+\
1673 '%(prefix)sMZ__exp__4/4. - (%(prefix)saEW*cmath.pi*%(prefix)s'+\
1674 'MZ__exp__2)/(%(prefix)sGf*%(prefix)ssqrt__2)))'
1675 if 'external' in mass.depend:
1676
1677 return True
1678 match = False
1679 if mass.expr == mass_expr%{'prefix':''}:
1680 prefix = ''
1681 match = True
1682 elif mass.expr == mass_expr%{'prefix':'mdl_'}:
1683 prefix = 'mdl_'
1684 match = True
1685 if match:
1686 MW = ParamCardVariable(mass.name, mass.value, 'MASS', [24])
1687 if not MW.value:
1688 MW.value = 80.385
1689 self.get('parameters')[('external',)].append(MW)
1690 self.get('parameters')[mass.depend].remove(mass)
1691
1692 new_param = ModelVariable('Gf',
1693 '-%(prefix)saEW*%(prefix)sMZ**2*cmath.pi/(cmath.sqrt(2)*%(MW)s**2*(%(MW)s**2 - %(prefix)sMZ**2))' %\
1694 {'MW': mass.name,'prefix':prefix}, 'complex', mass.depend)
1695 Gf = self.get_parameter('%sGf'%prefix)
1696 self.get('parameters')[('external',)].remove(Gf)
1697 self.add_param(new_param, ['%saEW'%prefix])
1698
1699 self.parameters_dict = None
1700 return True
1701 else:
1702 return False
1703
1705 """modify the expression changing the mass to complex mass scheme"""
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721 try:
1722 CMSParam = self.get_parameter('CMSParam')
1723 except KeyError:
1724 try:
1725 CMSParam = self.get_parameter('mdl_CMSParam')
1726 except KeyError:
1727 CMSParam = None
1728
1729
1730 if not toCMS:
1731 if CMSParam:
1732 CMSParam.expr = '0.0'
1733 return
1734
1735
1736 if CMSParam:
1737 CMSParam.expr = '1.0'
1738
1739 to_change = {}
1740 mass_widths = []
1741 for particle in self.get('particles'):
1742 m = particle.get('width')
1743 if m in mass_widths:
1744 continue
1745 mass_widths.append(particle.get('width'))
1746 mass_widths.append(particle.get('mass'))
1747 width = self.get_parameter(particle.get('width'))
1748 if (isinstance(width.value, (complex,float)) and abs(width.value)==0.0) or \
1749 width.name.lower() =='zero':
1750
1751 continue
1752 if not isinstance(width, ParamCardVariable):
1753 width.expr = 're(%s)' % width.expr
1754 mass = self.get_parameter(particle.get('mass'))
1755 if (isinstance(width.value, (complex,float)) and abs(width.value)!=0.0) or \
1756 mass.name.lower() != 'zero':
1757
1758 if particle.get('pdg_code') == 24 and isinstance(mass,
1759 ModelVariable):
1760 status = self.change_electroweak_mode(
1761 set(['mz','mw','alpha']))
1762
1763 mass = self.get_parameter(particle.get('mass'))
1764 if not status:
1765 logger.warning('The W mass is not an external '+
1766 'parameter in this model and the automatic change of'+
1767 ' electroweak scheme changed. This is not advised for '+
1768 'applying the complex mass scheme.')
1769
1770
1771
1772 depend = list(set(mass.depend + width.depend))
1773 if len(depend)>1 and 'external' in depend:
1774 depend.remove('external')
1775 depend = tuple(depend)
1776 if depend == ('external',):
1777 depend = ()
1778
1779
1780 if isinstance(mass, ParamCardVariable):
1781 New_param = ModelVariable('CMASS_'+mass.name,
1782 'cmath.sqrt(%(mass)s**2 - complex(0,1) * %(mass)s * %(width)s)' \
1783 % {'mass': mass.name, 'width': width.name},
1784 'complex', depend)
1785 else:
1786 New_param = ModelVariable('CMASS_'+mass.name,
1787 mass.expr, 'complex', depend)
1788
1789 if not isinstance(width, ParamCardVariable):
1790 width.expr = '- im(%s**2) / cmath.sqrt(re(%s**2))' % (mass.expr, mass.expr)
1791 else:
1792
1793 New_width = ModelVariable(width.name,
1794 '-1 * im(CMASS_%s**2) / %s' % (mass.name, mass.name), 'real', mass.depend)
1795 self.get('parameters')[('external',)].remove(width)
1796 self.add_param(New_param, (mass,))
1797 self.add_param(New_width, (New_param,))
1798 mass.expr = 'cmath.sqrt(re(%s**2))' % mass.expr
1799 to_change[mass.name] = New_param.name
1800 continue
1801
1802 mass.expr = 're(%s)' % mass.expr
1803 self.add_param(New_param, (mass, width))
1804 to_change[mass.name] = New_param.name
1805
1806
1807 yukawas = [p for p in self.get('parameters')[('external',)]
1808 if p.lhablock.lower() == 'yukawa']
1809 for yukawa in yukawas:
1810
1811 self.get('parameters')[('external',)].remove(yukawa)
1812
1813 particle = self.get_particle(yukawa.lhacode[0])
1814 mass = self.get_parameter(particle.get('mass'))
1815
1816
1817 if mass.depend == ('external',):
1818 depend = ()
1819 else:
1820 depend = mass.depend
1821
1822 New_param = ModelVariable(yukawa.name, mass.name, 'real', depend)
1823
1824
1825 if mass.name in to_change:
1826 expr = 'CMASS_%s' % mass.name
1827 else:
1828 expr = mass.name
1829 param_depend = self.get_parameter(expr)
1830 self.add_param(New_param, [param_depend])
1831
1832 if not to_change:
1833 return
1834
1835
1836
1837
1838
1839 pat = '|'.join(to_change.keys())
1840 pat = r'(%s)\b' % pat
1841 pat = re.compile(pat)
1842 def replace(match):
1843 return to_change[match.group()]
1844
1845
1846 for dep, list_param in self['parameters'].items():
1847 for param in list_param:
1848 if param.name.startswith('CMASS_') or param.name in mass_widths or\
1849 isinstance(param, ParamCardVariable):
1850 continue
1851 param.type = 'complex'
1852
1853
1854 param.expr = pat.sub(replace, param.expr)
1855
1856
1857 for dep, list_coup in self['couplings'].items():
1858 for coup in list_coup:
1859 coup.expr = pat.sub(replace, coup.expr)
1860
1861 - def add_param(self, new_param, depend_param):
1862 """add the parameter in the list of parameter in a correct position"""
1863
1864 pos = 0
1865 for i,param in enumerate(self.get('parameters')[new_param.depend]):
1866 if param.name in depend_param:
1867 pos = i + 1
1868 self.get('parameters')[new_param.depend].insert(pos, new_param)
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879 -class ModelVariable(object):
1880 """A Class for storing the information about coupling/ parameter"""
1881
1882 - def __init__(self, name, expression, type, depend=()):
1883 """Initialize a new parameter/coupling"""
1884
1885 self.name = name
1886 self.expr = expression
1887 self.type = type
1888 self.depend = depend
1889 self.value = None
1890
1892 """Object with same name are identical, If the object is a string we check
1893 if the attribute name is equal to this string"""
1894
1895 try:
1896 return other.name == self.name
1897 except Exception:
1898 return other == self.name
1899
1901 """ A class for storing the information linked to all the parameter
1902 which should be define in the param_card.dat"""
1903
1904 depend = ('external',)
1905 type = 'real'
1906
1907 - def __init__(self, name, value, lhablock, lhacode):
1908 """Initialize a new ParamCardVariable
1909 name: name of the variable
1910 value: default numerical value
1911 lhablock: name of the block in the param_card.dat
1912 lhacode: code associate to the variable
1913 """
1914 self.name = name
1915 self.value = value
1916 self.lhablock = lhablock
1917 self.lhacode = lhacode
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928 -class Leg(PhysicsObject):
1929 """Leg object: id (Particle), number, I/F state, flag from_group
1930 """
1931
1933 """Default values for all properties"""
1934
1935 self['id'] = 0
1936 self['number'] = 0
1937
1938 self['state'] = True
1939
1940 self['loop_line'] = False
1941
1942 self['from_group'] = True
1943
1944 self['onshell'] = None
1945
1946 - def filter(self, name, value):
1947 """Filter for valid leg property values."""
1948
1949 if name in ['id', 'number']:
1950 if not isinstance(value, int):
1951 raise self.PhysicsObjectError, \
1952 "%s is not a valid integer for leg id" % str(value)
1953
1954 if name == 'state':
1955 if not isinstance(value, bool):
1956 raise self.PhysicsObjectError, \
1957 "%s is not a valid leg state (True|False)" % \
1958 str(value)
1959
1960 if name == 'from_group':
1961 if not isinstance(value, bool) and value != None:
1962 raise self.PhysicsObjectError, \
1963 "%s is not a valid boolean for leg flag from_group" % \
1964 str(value)
1965
1966 if name == 'loop_line':
1967 if not isinstance(value, bool) and value != None:
1968 raise self.PhysicsObjectError, \
1969 "%s is not a valid boolean for leg flag loop_line" % \
1970 str(value)
1971
1972 if name == 'onshell':
1973 if not isinstance(value, bool) and value != None:
1974 raise self.PhysicsObjectError, \
1975 "%s is not a valid boolean for leg flag onshell" % \
1976 str(value)
1977 return True
1978
1980 """Return particle property names as a nicely sorted list."""
1981
1982 return ['id', 'number', 'state', 'from_group', 'loop_line', 'onshell']
1983
1985 """Returns True if the particle corresponding to the leg is a
1986 fermion"""
1987
1988 assert isinstance(model, Model), "%s is not a model" % str(model)
1989
1990 return model.get('particle_dict')[self['id']].is_fermion()
1991
1993 """Returns True if leg is an incoming fermion, i.e., initial
1994 particle or final antiparticle"""
1995
1996 assert isinstance(model, Model), "%s is not a model" % str(model)
1997
1998 part = model.get('particle_dict')[self['id']]
1999 return part.is_fermion() and \
2000 (self.get('state') == False and part.get('is_part') or \
2001 self.get('state') == True and not part.get('is_part'))
2002
2004 """Returns True if leg is an outgoing fermion, i.e., initial
2005 antiparticle or final particle"""
2006
2007 assert isinstance(model, Model), "%s is not a model" % str(model)
2008
2009 part = model.get('particle_dict')[self['id']]
2010 return part.is_fermion() and \
2011 (self.get('state') == True and part.get('is_part') or \
2012 self.get('state') == False and not part.get('is_part'))
2013
2014
2015
2016
2017 - def same(self, leg):
2018 """ Returns true if the leg in argument has the same ID and the same numer """
2019
2020
2021
2022 if isinstance(leg,int):
2023 if self['number']==leg:
2024 return True
2025 else:
2026 return False
2027
2028
2029
2030 elif isinstance(leg, Leg):
2031 if self['id']==leg.get('id') and \
2032 self['number']==leg.get('number') and \
2033 self['loop_line']==leg.get('loop_line') :
2034 return True
2035 else:
2036 return False
2037
2038 else :
2039 return False
2040
2041
2043 return self['number'] < other['number']
2044
2045
2046
2047
2048 -class LegList(PhysicsObjectList):
2049 """List of Leg objects
2050 """
2051
2053 """Test if object obj is a valid Leg for the list."""
2054
2055 return isinstance(obj, Leg)
2056
2057
2058
2060 """Return all elements which have 'from_group' True"""
2061
2062 return filter(lambda leg: leg.get('from_group'), self)
2063
2065 """Return True if at least one element has 'from_group' True"""
2066
2067 return len(self.from_group_elements()) > 0
2068
2070 """Return True if at least two elements have 'from_group' True"""
2071
2072 return len(self.from_group_elements()) > 1
2073
2075 """If has at least one 'from_group' True and in ref_dict_to1,
2076 return the return list from ref_dict_to1, otherwise return False"""
2077 if self.minimum_one_from_group():
2078 return ref_dict_to1.has_key(tuple(sorted([leg.get('id') for leg in self])))
2079 else:
2080 return False
2081
2083 """If has at least two 'from_group' True and in ref_dict_to0,
2084
2085 return the vertex (with id from ref_dict_to0), otherwise return None
2086
2087 If is_decay_chain = True, we only allow clustering of the
2088 initial leg, since we want this to be the last wavefunction to
2089 be evaluated.
2090 """
2091 if is_decay_chain:
2092
2093
2094
2095
2096 return any(leg.get('from_group') == None for leg in self) and \
2097 ref_dict_to0.has_key(tuple(sorted([leg.get('id') \
2098 for leg in self])))
2099
2100 if self.minimum_two_from_group():
2101 return ref_dict_to0.has_key(tuple(sorted([leg.get('id') for leg in self])))
2102 else:
2103 return False
2104
2106 """Returns the list of ids corresponding to the leglist with
2107 all particles outgoing"""
2108
2109 res = []
2110
2111 assert isinstance(model, Model), "Error! model not model"
2112
2113
2114 for leg in self:
2115 if leg.get('state') == False:
2116 res.append(model.get('particle_dict')[leg.get('id')].get_anti_pdg_code())
2117 else:
2118 res.append(leg.get('id'))
2119
2120 return res
2121
2122 - def sort(self,*args, **opts):
2123 """Match with FKSLegList"""
2124 Opts=copy.copy(opts)
2125 if 'pert' in Opts.keys():
2126 del Opts['pert']
2127 return super(LegList,self).sort(*args, **Opts)
2128
2129
2130
2131
2132
2133 -class MultiLeg(PhysicsObject):
2134 """MultiLeg object: ids (Particle or particles), I/F state
2135 """
2136
2138 """Default values for all properties"""
2139
2140 self['ids'] = []
2141 self['state'] = True
2142
2143 - def filter(self, name, value):
2144 """Filter for valid multileg property values."""
2145
2146 if name == 'ids':
2147 if not isinstance(value, list):
2148 raise self.PhysicsObjectError, \
2149 "%s is not a valid list" % str(value)
2150 for i in value:
2151 if not isinstance(i, int):
2152 raise self.PhysicsObjectError, \
2153 "%s is not a valid list of integers" % str(value)
2154
2155 if name == 'state':
2156 if not isinstance(value, bool):
2157 raise self.PhysicsObjectError, \
2158 "%s is not a valid leg state (initial|final)" % \
2159 str(value)
2160
2161 return True
2162
2164 """Return particle property names as a nicely sorted list."""
2165
2166 return ['ids', 'state']
2167
2172 """List of MultiLeg objects
2173 """
2174
2176 """Test if object obj is a valid MultiLeg for the list."""
2177
2178 return isinstance(obj, MultiLeg)
2179
2180
2181
2182
2183 -class Vertex(PhysicsObject):
2184 """Vertex: list of legs (ordered), id (Interaction)
2185 """
2186
2187 sorted_keys = ['id', 'legs']
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197 ID_to_veto_for_multichanneling = [0,-1,-2]
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207 max_n_loop_for_multichanneling = 4
2208
2210 """Default values for all properties"""
2211
2212
2213
2214
2215
2216
2217
2218
2219 self['id'] = 0
2220 self['legs'] = LegList()
2221
2222 - def filter(self, name, value):
2223 """Filter for valid vertex property values."""
2224
2225 if name == 'id':
2226 if not isinstance(value, int):
2227 raise self.PhysicsObjectError, \
2228 "%s is not a valid integer for vertex id" % str(value)
2229
2230 if name == 'legs':
2231 if not isinstance(value, LegList):
2232 raise self.PhysicsObjectError, \
2233 "%s is not a valid LegList object" % str(value)
2234
2235 return True
2236
2238 """Return particle property names as a nicely sorted list."""
2239
2240 return self.sorted_keys
2241
2243 """return a nice string"""
2244
2245 mystr = []
2246 for leg in self['legs']:
2247 mystr.append( str(leg['number']) + '(%s)' % str(leg['id']))
2248 mystr = '(%s,id=%s ,obj_id:%s)' % (', '.join(mystr), self['id'], id(self))
2249
2250 return(mystr)
2251
2252
2254 """Returns the id for the last leg as an outgoing
2255 s-channel. Returns 0 if leg is t-channel, or if identity
2256 vertex. Used to check for required and forbidden s-channel
2257 particles."""
2258
2259 leg = self.get('legs')[-1]
2260
2261 if ninitial == 1:
2262
2263
2264 if leg.get('state') == True:
2265 return leg.get('id')
2266 else:
2267 return model.get('particle_dict')[leg.get('id')].\
2268 get_anti_pdg_code()
2269
2270
2271 if self.get('id') == 0 or \
2272 leg.get('state') == False:
2273
2274 return 0
2275
2276 if leg.get('loop_line'):
2277
2278 return 0
2279
2280
2281
2282 if leg.get('number') > ninitial:
2283 return leg.get('id')
2284 else:
2285 return model.get('particle_dict')[leg.get('id')].\
2286 get_anti_pdg_code()
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299 -class VertexList(PhysicsObjectList):
2300 """List of Vertex objects
2301 """
2302
2303 orders = {}
2304
2306 """Test if object obj is a valid Vertex for the list."""
2307
2308 return isinstance(obj, Vertex)
2309
2310 - def __init__(self, init_list=None, orders=None):
2311 """Creates a new list object, with an optional dictionary of
2312 coupling orders."""
2313
2314 list.__init__(self)
2315
2316 if init_list is not None:
2317 for object in init_list:
2318 self.append(object)
2319
2320 if isinstance(orders, dict):
2321 self.orders = orders
2322
2327 """ContractedVertex: When contracting a loop to a given vertex, the created
2328 vertex object is then a ContractedVertex object which has additional
2329 information with respect to a regular vertex object. For example, it contains
2330 the PDG of the particles attached to it. (necessary because the contracted
2331 vertex doesn't have an interaction ID which would allow to retrieve such
2332 information).
2333 """
2334
2336 """Default values for all properties"""
2337
2338 self['PDGs'] = []
2339 self['loop_tag'] = tuple()
2340 self['loop_orders'] = {}
2341 super(ContractedVertex, self).default_setup()
2342
2343 - def filter(self, name, value):
2344 """Filter for valid vertex property values."""
2345
2346 if name == 'PDGs':
2347 if isinstance(value, list):
2348 for elem in value:
2349 if not isinstance(elem,int):
2350 raise self.PhysicsObjectError, \
2351 "%s is not a valid integer for leg PDG" % str(elem)
2352 else:
2353 raise self.PhysicsObjectError, \
2354 "%s is not a valid list for contracted vertex PDGs"%str(value)
2355 if name == 'loop_tag':
2356 if isinstance(value, tuple):
2357 for elem in value:
2358 if not (isinstance(elem,int) or isinstance(elem,tuple)):
2359 raise self.PhysicsObjectError, \
2360 "%s is not a valid int or tuple for loop tag element"%str(elem)
2361 else:
2362 raise self.PhysicsObjectError, \
2363 "%s is not a valid tuple for a contracted vertex loop_tag."%str(value)
2364 if name == 'loop_orders':
2365 Interaction.filter(Interaction(), 'orders', value)
2366 else:
2367 return super(ContractedVertex, self).filter(name, value)
2368
2369 return True
2370
2375
2376
2377
2378
2379 -class Diagram(PhysicsObject):
2380 """Diagram: list of vertices (ordered)
2381 """
2382
2384 """Default values for all properties"""
2385
2386 self['vertices'] = VertexList()
2387 self['orders'] = {}
2388
2389 - def filter(self, name, value):
2401
2403 """Return particle property names as a nicely sorted list."""
2404
2405 return ['vertices', 'orders']
2406
2408 """Returns a nicely formatted string of the diagram content."""
2409
2410 pass_sanity = True
2411 if self['vertices']:
2412 mystr = '('
2413 for vert in self['vertices']:
2414 used_leg = []
2415 mystr = mystr + '('
2416 for leg in vert['legs'][:-1]:
2417 mystr = mystr + str(leg['number']) + '(%s)' % str(leg['id']) + ','
2418 used_leg.append(leg['number'])
2419 if __debug__ and len(used_leg) != len(set(used_leg)):
2420 pass_sanity = False
2421 responsible = id(vert)
2422
2423 if self['vertices'].index(vert) < len(self['vertices']) - 1:
2424
2425 mystr = mystr[:-1] + '>'
2426 mystr = mystr + str(vert['legs'][-1]['number']) + '(%s)' % str(vert['legs'][-1]['id']) + ','
2427 mystr = mystr + 'id:' + str(vert['id']) + '),'
2428
2429 mystr = mystr[:-1] + ')'
2430 mystr += " (%s)" % (",".join(["%s=%d" % (key, self['orders'][key]) \
2431 for key in sorted(self['orders'].keys())]))
2432
2433 if not pass_sanity:
2434 raise Exception, "invalid diagram: %s. vert_id: %s" % (mystr, responsible)
2435
2436 return mystr
2437 else:
2438 return '()'
2439
2441 """Calculate the actual coupling orders of this diagram. Note
2442 that the special order WEIGTHED corresponds to the sum of
2443 hierarchys for the couplings."""
2444
2445 coupling_orders = dict([(c, 0) for c in model.get('coupling_orders')])
2446 weight = 0
2447 for vertex in self['vertices']:
2448 if vertex.get('id') in [0,-1]: continue
2449 if vertex.get('id') == -2:
2450 couplings = vertex.get('loop_orders')
2451 else:
2452 couplings = model.get('interaction_dict')[vertex.get('id')].\
2453 get('orders')
2454 for coupling in couplings:
2455 coupling_orders[coupling] += couplings[coupling]
2456 weight += sum([model.get('order_hierarchy')[c]*n for \
2457 (c,n) in couplings.items()])
2458 coupling_orders['WEIGHTED'] = weight
2459 self.set('orders', coupling_orders)
2460
2463 """ Returns wether the contributiong consisting in the current diagram
2464 multiplied by diag_multiplier passes the *positive* squared_orders
2465 specified ( a dictionary ) of types sq_order_types (a dictionary whose
2466 values are the relational operator used to define the constraint of the
2467 order in key)."""
2468
2469 for order, value in squared_orders.items():
2470 if value<0:
2471 continue
2472 combined_order = self.get_order(order) + \
2473 diag_multiplier.get_order(order)
2474 if ( sq_orders_types[order]=='==' and combined_order != value ) or \
2475 ( sq_orders_types[order] in ['=', '<='] and combined_order > value) or \
2476 ( sq_orders_types[order]=='>' and combined_order <= value) :
2477 return False
2478 return True
2479
2481 """Return the order of this diagram. It returns 0 if it is not present."""
2482
2483 try:
2484 return self['orders'][order]
2485 except Exception:
2486 return 0
2487
2489 """ Returns a Diagram which correspond to the loop diagram with the
2490 loop shrunk to a point. Of course for a instance of base_objects.Diagram
2491 one must simply return self."""
2492
2493 return self
2494
2496 """ Return the list of external legs of this diagram """
2497
2498 external_legs = LegList([])
2499 for leg in sum([vert.get('legs') for vert in self.get('vertices')],[]):
2500 if not leg.get('number') in [l.get('number') for l in external_legs]:
2501 external_legs.append(leg)
2502
2503 return external_legs
2504
2506 """Renumber legs in all vertices according to perm_map"""
2507
2508 vertices = VertexList()
2509 min_dict = copy.copy(perm_map)
2510
2511 state_dict = dict([(l.get('number'), l.get('state')) for l in leg_list])
2512
2513 for vertex in self.get('vertices')[:-1]:
2514 vertex = copy.copy(vertex)
2515 leg_list = LegList([copy.copy(l) for l in vertex.get('legs')])
2516 for leg in leg_list[:-1]:
2517 leg.set('number', min_dict[leg.get('number')])
2518 leg.set('state', state_dict[leg.get('number')])
2519 min_number = min([leg.get('number') for leg in leg_list[:-1]])
2520 leg = leg_list[-1]
2521 min_dict[leg.get('number')] = min_number
2522
2523
2524 state_dict[min_number] = len([l for l in leg_list[:-1] if \
2525 not l.get('state')]) != 1
2526 leg.set('number', min_number)
2527 leg.set('state', state_dict[min_number])
2528 vertex.set('legs', leg_list)
2529 vertices.append(vertex)
2530
2531 vertex = copy.copy(self.get('vertices')[-1])
2532 leg_list = LegList([copy.copy(l) for l in vertex.get('legs')])
2533 for leg in leg_list:
2534 leg.set('number', min_dict[leg.get('number')])
2535 leg.set('state', state_dict[leg.get('number')])
2536 vertex.set('legs', leg_list)
2537 vertices.append(vertex)
2538
2539 new_diag = copy.copy(self)
2540 new_diag.set('vertices', vertices)
2541 state_dict = {True:'T',False:'F'}
2542 return new_diag
2543
2547 """Return a list of the number of legs in the vertices for
2548 this diagram.
2549 This function is only used for establishing the multi-channeling, so that
2550 we exclude from it all the fake vertices and the vertices resulting from
2551 shrunk loops (id=-2)"""
2552
2553
2554 if max_n_loop == 0:
2555 max_n_loop = Vertex.max_n_loop_for_multichanneling
2556
2557 res = [len(v.get('legs')) for v in self.get('vertices') if (v.get('id') \
2558 not in veto_inter_id) or (v.get('id')==-2 and
2559 len(v.get('legs'))>max_n_loop)]
2560
2561 return res
2562
2564 """Return the maximum number of configs from this diagram,
2565 given by 2^(number of non-zero width s-channel propagators)"""
2566
2567 s_channels = [v.get_s_channel_id(model,ninitial) for v in \
2568 self.get('vertices')[:-1]]
2569 num_props = len([i for i in s_channels if i != 0 and \
2570 model.get_particle(i).get('width').lower() != 'zero'])
2571
2572 if num_props < 1:
2573 return 1
2574 else:
2575 return 2**num_props
2576
2578 """return the difference of total diff of charge occuring on the
2579 lofw of the initial parton. return [None,None] if the two initial parton
2580 are connected and the (partial) value if None if the initial parton is
2581 not a fermiom"""
2582
2583 import madgraph.core.drawing as drawing
2584 drawdiag = drawing.FeynmanDiagram(self, model)
2585 drawdiag.load_diagram()
2586 out = []
2587
2588 for v in drawdiag.initial_vertex:
2589 init_part = v.lines[0]
2590 if not init_part.is_fermion():
2591 out.append(None)
2592 continue
2593
2594 init_charge = model.get_particle(init_part.id).get('charge')
2595
2596 l_last = init_part
2597 v_last = v
2598 vcurrent = l_last.end
2599 if vcurrent == v:
2600 vcurrent = l_last.begin
2601 security =0
2602 while not vcurrent.is_external():
2603 if security > 1000:
2604 raise Exception, 'wrong diagram'
2605 next_l = [l for l in vcurrent.lines if l is not l_last and l.is_fermion()][0]
2606 next_v = next_l.end
2607 if next_v == vcurrent:
2608 next_v = next_l.begin
2609 l_last, vcurrent = next_l, next_v
2610 if vcurrent in drawdiag.initial_vertex:
2611 return [None, None]
2612
2613 out.append(model.get_particle(l_last.id).get('charge') - init_charge)
2614 return out
2615
2616
2617
2618
2619
2620 -class DiagramList(PhysicsObjectList):
2621 """List of Diagram objects
2622 """
2623
2625 """Test if object obj is a valid Diagram for the list."""
2626
2627 return isinstance(obj, Diagram)
2628
2630 """Returns a nicely formatted string"""
2631 mystr = " " * indent + str(len(self)) + ' diagrams:\n'
2632 for i, diag in enumerate(self):
2633 mystr = mystr + " " * indent + str(i+1) + " " + \
2634 diag.nice_string() + '\n'
2635 return mystr[:-1]
2636
2637
2638
2640 """ Return the order of the diagram in the list with the maximum coupling
2641 order for the coupling specified """
2642 max_order=-1
2643
2644 for diag in self:
2645 if order in diag['orders'].keys():
2646 if max_order==-1 or diag['orders'][order] > max_order:
2647 max_order = diag['orders'][order]
2648
2649 return max_order
2650
2652 """ This function returns a fitlered version of the diagram list self
2653 which satisfy the negative squared_order constraint 'order' with negative
2654 value 'value' and of type 'order_type', assuming that the diagram_list
2655 it must be squared against is 'reg_diag_list'. It also returns the
2656 new postive target squared order which correspond to this negative order
2657 constraint. Example: u u~ > d d~ QED^2<=-2 means that one wants to
2658 pick terms only up to the the next-to-leading order contributiong in QED,
2659 which is QED=2 in this case, so that target_order=4 is returned."""
2660
2661
2662 target_order = min(ref_diag_list.get_order_values(order))+\
2663 min(self.get_order_values(order))+2*(-value-1)
2664
2665 new_list = self.apply_positive_sq_orders(ref_diag_list,
2666 {order:target_order}, {order:order_type})
2667
2668 return new_list, target_order
2669
2671 """ This function returns a filtered version of self which contain
2672 only the diagram which satisfy the positive squared order constraints
2673 sq_orders of type sq_order_types and assuming that the diagrams are
2674 multiplied with those of the reference diagram list ref_diag_list."""
2675
2676 new_diag_list = DiagramList()
2677 for tested_diag in self:
2678 for ref_diag in ref_diag_list:
2679 if tested_diag.pass_squared_order_constraints(ref_diag,
2680 sq_orders,sq_order_types):
2681 new_diag_list.append(tested_diag)
2682 break
2683 return new_diag_list
2684
2686 """ This function modifies the current object and remove the diagram
2687 which do not obey the condition """
2688
2689 new = []
2690 for tested_diag in self:
2691 if operator == '==':
2692 if tested_diag['orders'][order] == value:
2693 new.append(tested_diag)
2694 elif operator == '>':
2695 if tested_diag['orders'][order] > value:
2696 new.append(tested_diag)
2697 self[:] = new
2698 return self
2699
2700
2702 """ Return the order of the diagram in the list with the mimimum coupling
2703 order for the coupling specified """
2704 min_order=-1
2705 for diag in self:
2706 if order in diag['orders'].keys():
2707 if min_order==-1 or diag['orders'][order] < min_order:
2708 min_order = diag['orders'][order]
2709 else:
2710 return 0
2711
2712 return min_order
2713
2715 """ Return the list of possible values appearing in the diagrams of this
2716 list for the order given in argument """
2717
2718 values=set([])
2719 for diag in self:
2720 if order in diag['orders'].keys():
2721 values.add(diag['orders'][order])
2722 else:
2723 values.add(0)
2724
2725 return list(values)
2726
2727
2728
2729
2730 -class Process(PhysicsObject):
2731 """Process: list of legs (ordered)
2732 dictionary of orders
2733 model
2734 process id
2735 """
2736
2738 """Default values for all properties"""
2739
2740 self['legs'] = LegList()
2741
2742 self['orders'] = {}
2743 self['model'] = Model()
2744
2745 self['id'] = 0
2746 self['uid'] = 0
2747
2748
2749
2750
2751 self['required_s_channels'] = []
2752 self['forbidden_onsh_s_channels'] = []
2753 self['forbidden_s_channels'] = []
2754 self['forbidden_particles'] = []
2755 self['is_decay_chain'] = False
2756 self['overall_orders'] = {}
2757
2758 self['decay_chains'] = ProcessList()
2759
2760 self['legs_with_decays'] = LegList()
2761
2762 self['perturbation_couplings']=[]
2763
2764
2765
2766
2767 self['squared_orders'] = {}
2768
2769
2770
2771
2772 self['sqorders_types'] = {}
2773
2774 self['constrained_orders'] = {}
2775 self['has_born'] = True
2776
2777
2778 self['NLO_mode'] = 'tree'
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788 self['split_orders'] = []
2789
2790 - def filter(self, name, value):
2791 """Filter for valid process property values."""
2792
2793 if name in ['legs', 'legs_with_decays'] :
2794 if not isinstance(value, LegList):
2795 raise self.PhysicsObjectError, \
2796 "%s is not a valid LegList object" % str(value)
2797
2798 if name in ['orders', 'overall_orders','squared_orders']:
2799 Interaction.filter(Interaction(), 'orders', value)
2800
2801 if name == 'constrained_orders':
2802 if not isinstance(value, dict):
2803 raise self.PhysicsObjectError, \
2804 "%s is not a valid dictionary" % str(value)
2805
2806 if name == 'sqorders_types':
2807 if not isinstance(value, dict):
2808 raise self.PhysicsObjectError, \
2809 "%s is not a valid dictionary" % str(value)
2810 for order in value.keys()+value.values():
2811 if not isinstance(order, str):
2812 raise self.PhysicsObjectError, \
2813 "%s is not a valid string" % str(value)
2814
2815 if name == 'split_orders':
2816 if not isinstance(value, list):
2817 raise self.PhysicsObjectError, \
2818 "%s is not a valid list" % str(value)
2819 for order in value:
2820 if not isinstance(order, str):
2821 raise self.PhysicsObjectError, \
2822 "%s is not a valid string" % str(value)
2823
2824 if name == 'model':
2825 if not isinstance(value, Model):
2826 raise self.PhysicsObjectError, \
2827 "%s is not a valid Model object" % str(value)
2828 if name in ['id', 'uid']:
2829 if not isinstance(value, int):
2830 raise self.PhysicsObjectError, \
2831 "Process %s %s is not an integer" % (name, repr(value))
2832
2833 if name == 'required_s_channels':
2834 if not isinstance(value, list):
2835 raise self.PhysicsObjectError, \
2836 "%s is not a valid list" % str(value)
2837 for l in value:
2838 if not isinstance(l, list):
2839 raise self.PhysicsObjectError, \
2840 "%s is not a valid list of lists" % str(value)
2841 for i in l:
2842 if not isinstance(i, int):
2843 raise self.PhysicsObjectError, \
2844 "%s is not a valid list of integers" % str(l)
2845 if i == 0:
2846 raise self.PhysicsObjectError, \
2847 "Not valid PDG code %d for s-channel particle" % i
2848
2849 if name in ['forbidden_onsh_s_channels', 'forbidden_s_channels']:
2850 if not isinstance(value, list):
2851 raise self.PhysicsObjectError, \
2852 "%s is not a valid list" % str(value)
2853 for i in value:
2854 if not isinstance(i, int):
2855 raise self.PhysicsObjectError, \
2856 "%s is not a valid list of integers" % str(value)
2857 if i == 0:
2858 raise self.PhysicsObjectError, \
2859 "Not valid PDG code %d for s-channel particle" % str(value)
2860
2861 if name == 'forbidden_particles':
2862 if not isinstance(value, list):
2863 raise self.PhysicsObjectError, \
2864 "%s is not a valid list" % str(value)
2865 for i in value:
2866 if not isinstance(i, int):
2867 raise self.PhysicsObjectError, \
2868 "%s is not a valid list of integers" % str(value)
2869 if i <= 0:
2870 raise self.PhysicsObjectError, \
2871 "Forbidden particles should have a positive PDG code" % str(value)
2872
2873 if name == 'perturbation_couplings':
2874 if not isinstance(value, list):
2875 raise self.PhysicsObjectError, \
2876 "%s is not a valid list" % str(value)
2877 for order in value:
2878 if not isinstance(order, str):
2879 raise self.PhysicsObjectError, \
2880 "%s is not a valid string" % str(value)
2881
2882 if name == 'is_decay_chain':
2883 if not isinstance(value, bool):
2884 raise self.PhysicsObjectError, \
2885 "%s is not a valid bool" % str(value)
2886
2887 if name == 'has_born':
2888 if not isinstance(value, bool):
2889 raise self.PhysicsObjectError, \
2890 "%s is not a valid bool" % str(value)
2891
2892 if name == 'decay_chains':
2893 if not isinstance(value, ProcessList):
2894 raise self.PhysicsObjectError, \
2895 "%s is not a valid ProcessList" % str(value)
2896
2897 if name == 'NLO_mode':
2898 import madgraph.interface.madgraph_interface as mg
2899 if value not in mg.MadGraphCmd._valid_nlo_modes:
2900 raise self.PhysicsObjectError, \
2901 "%s is not a valid NLO_mode" % str(value)
2902 return True
2903
2905 """ A process, not being a ProcessDefinition never carries multiple
2906 particles labels"""
2907
2908 return False
2909
2910 - def set(self, name, value):
2911 """Special set for forbidden particles - set to abs value."""
2912
2913 if name == 'forbidden_particles':
2914 try:
2915 value = [abs(i) for i in value]
2916 except Exception:
2917 pass
2918
2919 if name == 'required_s_channels':
2920
2921 if value and isinstance(value, list) and \
2922 not isinstance(value[0], list):
2923 value = [value]
2924
2925 return super(Process, self).set(name, value)
2926
2928 """ Return what kind of squared order constraint was specified for the
2929 order 'order'."""
2930
2931 if order in self['sqorders_types'].keys():
2932 return self['sqorders_types'][order]
2933 else:
2934
2935 return '='
2936
2937 - def get(self, name):
2938 """Special get for legs_with_decays"""
2939
2940 if name == 'legs_with_decays':
2941 self.get_legs_with_decays()
2942
2943 if name == 'sqorders_types':
2944
2945 for order in self['squared_orders'].keys():
2946 if order not in self['sqorders_types']:
2947
2948 self['sqorders_types'][order]='='
2949
2950 return super(Process, self).get(name)
2951
2953 """Return process property names as a nicely sorted list."""
2954
2955 return ['legs', 'orders', 'overall_orders', 'squared_orders',
2956 'constrained_orders',
2957 'model', 'id', 'required_s_channels',
2958 'forbidden_onsh_s_channels', 'forbidden_s_channels',
2959 'forbidden_particles', 'is_decay_chain', 'decay_chains',
2960 'legs_with_decays', 'perturbation_couplings', 'has_born',
2961 'NLO_mode','split_orders']
2962
2963 - def nice_string(self, indent=0, print_weighted = True, prefix=True):
2964 """Returns a nicely formated string about current process
2965 content. Since the WEIGHTED order is automatically set and added to
2966 the user-defined list of orders, it can be ommitted for some info
2967 displays."""
2968
2969 if prefix:
2970 mystr = " " * indent + "Process: "
2971 else:
2972 mystr = ""
2973 prevleg = None
2974 for leg in self['legs']:
2975 mypart = self['model'].get('particle_dict')[leg['id']]
2976 if prevleg and prevleg['state'] == False \
2977 and leg['state'] == True:
2978
2979 mystr = mystr + '> '
2980
2981 if self['required_s_channels'] and \
2982 self['required_s_channels'][0]:
2983 mystr += "|".join([" ".join([self['model'].\
2984 get('particle_dict')[req_id].get_name() \
2985 for req_id in id_list]) \
2986 for id_list in self['required_s_channels']])
2987 mystr = mystr + ' > '
2988
2989 mystr = mystr + mypart.get_name() + ' '
2990
2991 prevleg = leg
2992
2993
2994 if self['orders']:
2995 to_add = []
2996 for key in sorted(self['orders'].keys()):
2997 if not print_weighted and key == 'WEIGHTED':
2998 continue
2999 value = int(self['orders'][key])
3000 if key in self['squared_orders']:
3001 if self.get_squared_order_type(key) in ['<=', '==', '='] and \
3002 self['squared_orders'][key] == value:
3003 continue
3004 if self.get_squared_order_type(key) in ['>'] and value == 99:
3005 continue
3006 if key in self['constrained_orders']:
3007 if value == self['constrained_orders'][key][0] and\
3008 self['constrained_orders'][key][1] in ['=', '<=', '==']:
3009 continue
3010 if value == 0:
3011 to_add.append('%s=0' % key)
3012 else:
3013 to_add.append('%s<=%s' % (key,value))
3014
3015 if to_add:
3016 mystr = mystr + " ".join(to_add) + ' '
3017
3018 if self['constrained_orders']:
3019 mystr = mystr + " ".join('%s%s%d' % (key,
3020 self['constrained_orders'][key][1], self['constrained_orders'][key][0])
3021 for key in sorted(self['constrained_orders'].keys())) + ' '
3022
3023
3024 if self['perturbation_couplings']:
3025 mystr = mystr + '[ '
3026 if self['NLO_mode']!='tree':
3027 if self['NLO_mode']=='virt' and not self['has_born']:
3028 mystr = mystr + 'sqrvirt = '
3029 else:
3030 mystr = mystr + self['NLO_mode'] + ' = '
3031 for order in self['perturbation_couplings']:
3032 mystr = mystr + order + ' '
3033 mystr = mystr + '] '
3034
3035
3036 if self['squared_orders']:
3037 to_add = []
3038 for key in sorted(self['squared_orders'].keys()):
3039 if not print_weighted and key == 'WEIGHTED':
3040 continue
3041 if key in self['constrained_orders']:
3042 if self['constrained_orders'][key][0] == self['squared_orders'][key]/2 and \
3043 self['constrained_orders'][key][1] == self.get_squared_order_type(key):
3044 continue
3045 to_add.append(key + '^2%s%d'%\
3046 (self.get_squared_order_type(key),self['squared_orders'][key]))
3047
3048 if to_add:
3049 mystr = mystr + " ".join(to_add) + ' '
3050
3051
3052
3053 if self['forbidden_onsh_s_channels']:
3054 mystr = mystr + '$ '
3055 for forb_id in self['forbidden_onsh_s_channels']:
3056 forbpart = self['model'].get('particle_dict')[forb_id]
3057 mystr = mystr + forbpart.get_name() + ' '
3058
3059
3060 if self['forbidden_s_channels']:
3061 mystr = mystr + '$$ '
3062 for forb_id in self['forbidden_s_channels']:
3063 forbpart = self['model'].get('particle_dict')[forb_id]
3064 mystr = mystr + forbpart.get_name() + ' '
3065
3066
3067 if self['forbidden_particles']:
3068 mystr = mystr + '/ '
3069 for forb_id in self['forbidden_particles']:
3070 forbpart = self['model'].get('particle_dict')[forb_id]
3071 mystr = mystr + forbpart.get_name() + ' '
3072
3073
3074 mystr = mystr[:-1]
3075
3076 if self.get('id') or self.get('overall_orders'):
3077 mystr += " @%d" % self.get('id')
3078 if self.get('overall_orders'):
3079 mystr += " " + " ".join([key + '=' + repr(self['orders'][key]) \
3080 for key in sorted(self['orders'])]) + ' '
3081
3082 if not self.get('decay_chains'):
3083 return mystr
3084
3085 for decay in self['decay_chains']:
3086 mystr = mystr + '\n' + \
3087 decay.nice_string(indent + 2).replace('Process', 'Decay')
3088
3089 return mystr
3090
3181
3183 """Returns a string containing only the basic process (w/o decays)."""
3184
3185 mystr = ""
3186 prevleg = None
3187 for leg in self.get_legs_with_decays():
3188 mypart = self['model'].get('particle_dict')[leg['id']]
3189 if prevleg and prevleg['state'] == False \
3190 and leg['state'] == True:
3191
3192 mystr = mystr + '> '
3193 mystr = mystr + mypart.get_name() + ' '
3194 prevleg = leg
3195
3196
3197 return mystr[:-1]
3198
3199 - def shell_string(self, schannel=True, forbid=True, main=True, pdg_order=False,
3200 print_id = True):
3201 """Returns process as string with '~' -> 'x', '>' -> '_',
3202 '+' -> 'p' and '-' -> 'm', including process number,
3203 intermediate s-channels and forbidden particles,
3204 pdg_order allow to order to leg order by pid."""
3205
3206 mystr = ""
3207 if not self.get('is_decay_chain') and print_id:
3208 mystr += "%d_" % self['id']
3209
3210 prevleg = None
3211 if pdg_order:
3212 legs = [l for l in self['legs'][1:]]
3213 def order_leg(l1,l2):
3214 id1 = l1.get('id')
3215 id2 = l2.get('id')
3216 return id2-id1
3217 legs.sort(cmp=order_leg)
3218 legs.insert(0, self['legs'][0])
3219 else:
3220 legs = self['legs']
3221
3222
3223 for leg in legs:
3224 mypart = self['model'].get('particle_dict')[leg['id']]
3225 if prevleg and prevleg['state'] == False \
3226 and leg['state'] == True:
3227
3228 mystr = mystr + '_'
3229
3230 if self['required_s_channels'] and \
3231 self['required_s_channels'][0] and schannel:
3232 mystr += "_or_".join(["".join([self['model'].\
3233 get('particle_dict')[req_id].get_name() \
3234 for req_id in id_list]) \
3235 for id_list in self['required_s_channels']])
3236 mystr = mystr + '_'
3237 if mypart['is_part']:
3238 mystr = mystr + mypart['name']
3239 else:
3240 mystr = mystr + mypart['antiname']
3241 prevleg = leg
3242
3243
3244 if self['forbidden_particles'] and forbid:
3245 mystr = mystr + '_no_'
3246 for forb_id in self['forbidden_particles']:
3247 forbpart = self['model'].get('particle_dict')[forb_id]
3248 mystr = mystr + forbpart.get_name()
3249
3250
3251 mystr = mystr.replace('~', 'x')
3252
3253 mystr = mystr.replace('+', 'p')
3254
3255 mystr = mystr.replace('-', 'm')
3256
3257 mystr = mystr.replace(' ', '')
3258
3259 for decay in self.get('decay_chains'):
3260 mystr = mystr + "_" + decay.shell_string(schannel,forbid, main=False,
3261 pdg_order=pdg_order)
3262
3263
3264 if len(mystr) > 64 and main:
3265 if schannel and forbid:
3266 out = self.shell_string(True, False, True, pdg_order)
3267 elif schannel:
3268 out = self.shell_string(False, False, True, pdg_order)
3269 else:
3270 out = mystr[:64]
3271 if not out.endswith('_%s' % self['uid']):
3272 out += '_%s' % self['uid']
3273 return out
3274
3275 return mystr
3276
3278 """Returns process as v4-compliant string with '~' -> 'x' and
3279 '>' -> '_'"""
3280
3281 mystr = "%d_" % self['id']
3282 prevleg = None
3283 for leg in self.get_legs_with_decays():
3284 mypart = self['model'].get('particle_dict')[leg['id']]
3285 if prevleg and prevleg['state'] == False \
3286 and leg['state'] == True:
3287
3288 mystr = mystr + '_'
3289 if mypart['is_part']:
3290 mystr = mystr + mypart['name']
3291 else:
3292 mystr = mystr + mypart['antiname']
3293 prevleg = leg
3294
3295
3296 mystr = mystr.replace('~', 'x')
3297
3298 mystr = mystr.replace(' ', '')
3299
3300 return mystr
3301
3302
3303
3305 """ Check iteratively that no coupling order constraint include negative
3306 values."""
3307
3308 if any(val<0 for val in self.get('orders').values()+\
3309 self.get('squared_orders').values()):
3310 return True
3311
3312 for procdef in self['decay_chains']:
3313 if procdef.are_negative_orders_present():
3314 return True
3315
3316 return False
3317
3319 """ Check iteratively that the decayed processes are not perturbed """
3320
3321 for procdef in self['decay_chains']:
3322 if procdef['perturbation_couplings'] or procdef.are_decays_perturbed():
3323 return True
3324 return False
3325
3327 """ Check iteratively that the decayed processes are not perturbed """
3328
3329 for procdef in self['decay_chains']:
3330 if procdef['squared_orders']!={} or procdef.decays_have_squared_orders():
3331 return True
3332 return False
3333
3335 """Gives number of initial state particles"""
3336
3337 return len(filter(lambda leg: leg.get('state') == False,
3338 self.get('legs')))
3339
3341 """Gives the pdg codes for initial state particles"""
3342
3343 return [leg.get('id') for leg in \
3344 filter(lambda leg: leg.get('state') == False,
3345 self.get('legs'))]
3346
3348 """Return the pdg codes for initial state particles for beam number"""
3349
3350 return filter(lambda leg: leg.get('state') == False and\
3351 leg.get('number') == number,
3352 self.get('legs'))[0].get('id')
3353
3355 """return a tuple of two tuple containing the id of the initial/final
3356 state particles. Each list is ordered"""
3357
3358 initial = []
3359 final = [l.get('id') for l in self.get('legs')\
3360 if l.get('state') or initial.append(l.get('id'))]
3361 initial.sort()
3362 final.sort()
3363 return (tuple(initial), tuple(final))
3364
3385
3386
3388 """Gives the final state legs"""
3389
3390 return filter(lambda leg: leg.get('state') == True,
3391 self.get('legs'))
3392
3394 """Gives the pdg codes for final state particles"""
3395
3396 return [l.get('id') for l in self.get_final_legs()]
3397
3398
3400 """Return process with all decay chains substituted in."""
3401
3402 if self['legs_with_decays']:
3403 return self['legs_with_decays']
3404
3405 legs = copy.deepcopy(self.get('legs'))
3406 org_decay_chains = copy.copy(self.get('decay_chains'))
3407 sorted_decay_chains = []
3408
3409 for leg in legs:
3410 if not leg.get('state'): continue
3411 org_ids = [l.get('legs')[0].get('id') for l in \
3412 org_decay_chains]
3413 if leg.get('id') in org_ids:
3414 sorted_decay_chains.append(org_decay_chains.pop(\
3415 org_ids.index(leg.get('id'))))
3416 assert not org_decay_chains
3417 ileg = 0
3418 for decay in sorted_decay_chains:
3419 while legs[ileg].get('state') == False or \
3420 legs[ileg].get('id') != decay.get('legs')[0].get('id'):
3421 ileg = ileg + 1
3422 decay_legs = decay.get_legs_with_decays()
3423 legs = legs[:ileg] + decay_legs[1:] + legs[ileg+1:]
3424 ileg = ileg + len(decay_legs) - 1
3425
3426
3427 legs = [copy.copy(l) for l in legs]
3428
3429 for ileg, leg in enumerate(legs):
3430 leg.set('number', ileg + 1)
3431
3432 self['legs_with_decays'] = LegList(legs)
3433
3434 return self['legs_with_decays']
3435
3437 """Output a list that can be compared to other processes as:
3438 [id, sorted(initial leg ids), sorted(final leg ids),
3439 sorted(decay list_for_sorts)]"""
3440
3441 sorted_list = [self.get('id'),
3442 sorted(self.get_initial_ids()),
3443 sorted(self.get_final_ids())]
3444
3445 if self.get('decay_chains'):
3446 sorted_list.extend(sorted([d.list_for_sort() for d in \
3447 self.get('decay_chains')]))
3448
3449 return sorted_list
3450
3452 """Sorting routine which allows to sort processes for
3453 comparison. Compare only process id and legs."""
3454
3455 if self.list_for_sort() > other.list_for_sort():
3456 return 1
3457 if self.list_for_sort() < other.list_for_sort():
3458 return -1
3459 return 0
3460
3462 """Calculate the denominator factor for identical final state particles
3463 """
3464
3465 final_legs = filter(lambda leg: leg.get('state') == True, \
3466 self.get_legs_with_decays())
3467
3468 identical_indices = {}
3469 for leg in final_legs:
3470 if leg.get('id') in identical_indices:
3471 identical_indices[leg.get('id')] = \
3472 identical_indices[leg.get('id')] + 1
3473 else:
3474 identical_indices[leg.get('id')] = 1
3475 return reduce(lambda x, y: x * y, [ math.factorial(val) for val in \
3476 identical_indices.values() ], 1)
3477
3479 """Ensure that maximum expansion orders from the model are
3480 properly taken into account in the process"""
3481
3482
3483 expansion_orders = self.get('model').get('expansion_order')
3484 orders = self.get('orders')
3485 sq_orders = self.get('squared_orders')
3486
3487 tmp = [(k,v) for (k,v) in expansion_orders.items() if 0 < v < 99]
3488 for (k,v) in tmp:
3489 if k in orders:
3490 if v < orders[k]:
3491 if k in sq_orders.keys() and \
3492 (sq_orders[k]>v or sq_orders[k]<0):
3493 logger.warning(
3494 '''The process with the squared coupling order (%s^2%s%s) specified can potentially
3495 recieve contributions with powers of the coupling %s larger than the maximal
3496 value allowed by the model builder (%s). Hence, MG5_aMC sets the amplitude order
3497 for that coupling to be this maximal one. '''%(k,self.get('sqorders_types')[k],
3498 self.get('squared_orders')[k],k,v))
3499 else:
3500 logger.warning(
3501 '''The coupling order (%s=%s) specified is larger than the one allowed
3502 by the model builder. The maximal value allowed is %s.
3503 We set the %s order to this value''' % (k,orders[k],v,k))
3504 orders[k] = v
3505 else:
3506 orders[k] = v
3507
3509 """Overloading the equality operator, so that only comparison
3510 of process id and legs is being done, using compare_for_sort."""
3511
3512 if not isinstance(other, Process):
3513 return False
3514
3515 return self.compare_for_sort(other) == 0
3516
3518 return not self.__eq__(other)
3519
3524 """List of Process objects
3525 """
3526
3528 """Test if object obj is a valid Process for the list."""
3529
3530 return isinstance(obj, Process)
3531
3533 """Returns a nicely formatted string of the matrix element processes."""
3534
3535 mystr = "\n".join([p.nice_string(indent) for p in self])
3536
3537 return mystr
3538
3543 """ProcessDefinition: list of multilegs (ordered)
3544 dictionary of orders
3545 model
3546 process id
3547 """
3548
3558
3559 - def filter(self, name, value):
3575
3577 """ Check that this process definition will yield a single process, as
3578 each multileg only has one leg"""
3579
3580 for process in self['decay_chains']:
3581 if process.has_multiparticle_label():
3582 return True
3583
3584 for mleg in self['legs']:
3585 if len(mleg['ids'])>1:
3586 return True
3587
3588 return False
3589
3597
3599 """Retrieve the minimum starting guess for WEIGHTED order, to
3600 use in find_optimal_process_orders in MultiProcess diagram
3601 generation (as well as particles and hierarchy). The algorithm:
3602
3603 1) Pick out the legs in the multiprocess according to the
3604 highest hierarchy represented (so don't mix particles from
3605 different hierarchy classes in the same multiparticles!)
3606
3607 2) Find the starting maximum WEIGHTED order as the sum of the
3608 highest n-2 weighted orders
3609
3610 3) Pick out required s-channel particle hierarchies, and use
3611 the highest of the maximum WEIGHTED order from the legs and
3612 the minimum WEIGHTED order extracted from 2*s-channel
3613 hierarchys plus the n-2-2*(number of s-channels) lowest
3614 leg weighted orders.
3615 """
3616
3617 model = self.get('model')
3618
3619
3620
3621 particles, hierarchy = model.get_particles_hierarchy()
3622
3623
3624
3625 max_order_now = []
3626 new_legs = copy.copy(self.get('legs'))
3627 for parts, value in zip(particles, hierarchy):
3628 ileg = 0
3629 while ileg < len(new_legs):
3630 if any([id in parts for id in new_legs[ileg].get('ids')]):
3631 max_order_now.append(value)
3632 new_legs.pop(ileg)
3633 else:
3634 ileg += 1
3635
3636
3637
3638 max_order_now = sorted(max_order_now)[2:]
3639
3640
3641 max_order_prop = []
3642 for idlist in self.get('required_s_channels'):
3643 max_order_prop.append([0,0])
3644 for id in idlist:
3645 for parts, value in zip(particles, hierarchy):
3646 if id in parts:
3647 max_order_prop[-1][0] += 2*value
3648 max_order_prop[-1][1] += 1
3649 break
3650
3651 if max_order_prop:
3652 if len(max_order_prop) >1:
3653 max_order_prop = min(*max_order_prop, key=lambda x:x[0])
3654 else:
3655 max_order_prop = max_order_prop[0]
3656
3657
3658
3659
3660 max_order_now = max(sum(max_order_now),
3661 max_order_prop[0] + \
3662 sum(max_order_now[:-2 * max_order_prop[1]]))
3663 else:
3664 max_order_now = sum(max_order_now)
3665
3666 return max_order_now, particles, hierarchy
3667
3669 """basic way to loop over all the process definition.
3670 not used by MG which used some smarter version (use by ML)"""
3671
3672 isids = [leg['ids'] for leg in self['legs'] \
3673 if leg['state'] == False]
3674 fsids = [leg['ids'] for leg in self['legs'] \
3675 if leg['state'] == True]
3676
3677 red_isidlist = []
3678
3679 for prod in itertools.product(*isids):
3680 islegs = [Leg({'id':id, 'state': False}) for id in prod]
3681 if tuple(sorted(prod)) in red_isidlist:
3682 continue
3683 red_isidlist.append(tuple(sorted(prod)))
3684 red_fsidlist = []
3685 for prod in itertools.product(*fsids):
3686
3687 if tuple(sorted(prod)) in red_fsidlist:
3688 continue
3689 red_fsidlist.append(tuple(sorted(prod)))
3690 leg_list = [copy.copy(leg) for leg in islegs]
3691 leg_list.extend([Leg({'id':id, 'state': True}) for id in prod])
3692 legs = LegList(leg_list)
3693 process = self.get_process_with_legs(legs)
3694 yield process
3695
3696 - def nice_string(self, indent=0, print_weighted=False, prefix=True):
3697 """Returns a nicely formated string about current process
3698 content"""
3699
3700 if prefix:
3701 mystr = " " * indent + "Process: "
3702 else:
3703 mystr=""
3704 prevleg = None
3705 for leg in self['legs']:
3706 myparts = \
3707 "/".join([self['model'].get('particle_dict')[id].get_name() \
3708 for id in leg.get('ids')])
3709 if prevleg and prevleg['state'] == False \
3710 and leg['state'] == True:
3711
3712 mystr = mystr + '> '
3713
3714 if self['required_s_channels'] and \
3715 self['required_s_channels'][0]:
3716 mystr += "|".join([" ".join([self['model'].\
3717 get('particle_dict')[req_id].get_name() \
3718 for req_id in id_list]) \
3719 for id_list in self['required_s_channels']])
3720 mystr = mystr + '> '
3721
3722 mystr = mystr + myparts + ' '
3723
3724 prevleg = leg
3725
3726
3727 if self['forbidden_onsh_s_channels']:
3728 mystr = mystr + '$ '
3729 for forb_id in self['forbidden_onsh_s_channels']:
3730 forbpart = self['model'].get('particle_dict')[forb_id]
3731 mystr = mystr + forbpart.get_name() + ' '
3732
3733
3734 if self['forbidden_s_channels']:
3735 mystr = mystr + '$$ '
3736 for forb_id in self['forbidden_s_channels']:
3737 forbpart = self['model'].get('particle_dict')[forb_id]
3738 mystr = mystr + forbpart.get_name() + ' '
3739
3740
3741 if self['forbidden_particles']:
3742 mystr = mystr + '/ '
3743 for forb_id in self['forbidden_particles']:
3744 forbpart = self['model'].get('particle_dict')[forb_id]
3745 mystr = mystr + forbpart.get_name() + ' '
3746
3747 if self['orders']:
3748 mystr = mystr + " ".join([key + '=' + repr(self['orders'][key]) \
3749 for key in sorted(self['orders'])]) + ' '
3750
3751 if self['constrained_orders']:
3752 mystr = mystr + " ".join('%s%s%d' % (key, operator, value) for
3753 (key,(value, operator))
3754 in self['constrained_orders'].items()) + ' '
3755
3756
3757 if self['perturbation_couplings']:
3758 mystr = mystr + '[ '
3759 if self['NLO_mode']!='tree':
3760 if self['NLO_mode']=='virt' and not self['has_born']:
3761 mystr = mystr + 'sqrvirt = '
3762 else:
3763 mystr = mystr + self['NLO_mode'] + ' = '
3764 for order in self['perturbation_couplings']:
3765 mystr = mystr + order + ' '
3766 mystr = mystr + '] '
3767
3768 if self['squared_orders']:
3769 mystr = mystr + " ".join([key + '^2%s%d'%\
3770 (self.get_squared_order_type(key),self['squared_orders'][key]) \
3771 for key in self['squared_orders'].keys() \
3772 if print_weighted or key!='WEIGHTED']) + ' '
3773
3774
3775 mystr = mystr[:-1]
3776
3777 if self.get('id') or self.get('overall_orders'):
3778 mystr += " @%d" % self.get('id')
3779 if self.get('overall_orders'):
3780 mystr += " " + " ".join([key + '=' + repr(self['orders'][key]) \
3781 for key in sorted(self['orders'])]) + ' '
3782
3783 if not self.get('decay_chains'):
3784 return mystr
3785
3786 for decay in self['decay_chains']:
3787 mystr = mystr + '\n' + \
3788 decay.nice_string(indent + 2).replace('Process', 'Decay')
3789
3790 return mystr
3791
3793 """ Return a Process object which has the same properties of this
3794 ProcessDefinition but with the specified LegList as legs attribute.
3795 """
3796
3797 return Process({\
3798 'legs': LegList,
3799 'model':self.get('model'),
3800 'id': self.get('id'),
3801 'orders': self.get('orders'),
3802 'sqorders_types': self.get('sqorders_types'),
3803 'squared_orders': self.get('squared_orders'),
3804 'constrained_orders': self.get('constrained_orders'),
3805 'has_born': self.get('has_born'),
3806 'required_s_channels': self.get('required_s_channels'),
3807 'forbidden_onsh_s_channels': self.get('forbidden_onsh_s_channels'),
3808 'forbidden_s_channels': self.get('forbidden_s_channels'),
3809 'forbidden_particles': self.get('forbidden_particles'),
3810 'perturbation_couplings': self.get('perturbation_couplings'),
3811 'is_decay_chain': self.get('is_decay_chain'),
3812 'overall_orders': self.get('overall_orders'),
3813 'split_orders': self.get('split_orders'),
3814 'NLO_mode': self.get('NLO_mode')
3815 })
3816
3817 - def get_process(self, initial_state_ids, final_state_ids):
3818 """ Return a Process object which has the same properties of this
3819 ProcessDefinition but with the specified given leg ids. """
3820
3821
3822
3823 my_isids = [leg.get('ids') for leg in self.get('legs') \
3824 if not leg.get('state')]
3825 my_fsids = [leg.get('ids') for leg in self.get('legs') \
3826 if leg.get('state')]
3827 for i, is_id in enumerate(initial_state_ids):
3828 assert is_id in my_isids[i]
3829 for i, fs_id in enumerate(final_state_ids):
3830 assert fs_id in my_fsids[i]
3831
3832 return self.get_process_with_legs(LegList(\
3833 [Leg({'id': id, 'state':False}) for id in initial_state_ids] + \
3834 [Leg({'id': id, 'state':True}) for id in final_state_ids]))
3835
3837 """Overloading the equality operator, so that only comparison
3838 of process id and legs is being done, using compare_for_sort."""
3839
3840 return super(Process, self).__eq__(other)
3841
3846 """List of ProcessDefinition objects
3847 """
3848
3850 """Test if object obj is a valid ProcessDefinition for the list."""
3851
3852 return isinstance(obj, ProcessDefinition)
3853
3859 """Make sure there are no doublets in the list doubletlist.
3860 Note that this is a slow implementation, so don't use if speed
3861 is needed"""
3862
3863 assert isinstance(doubletlist, list), \
3864 "Argument to make_unique must be list"
3865
3866
3867 uniquelist = []
3868 for elem in doubletlist:
3869 if elem not in uniquelist:
3870 uniquelist.append(elem)
3871
3872 doubletlist[:] = uniquelist[:]
3873