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16 """Definitions of the objects needed for the implementation of MadFKS"""
17
18 import madgraph.core.base_objects as MG
19 import madgraph.core.helas_objects as helas_objects
20 import madgraph.core.diagram_generation as diagram_generation
21 import madgraph.core.color_amp as color_amp
22 import madgraph.core.color_algebra as color_algebra
23 import madgraph.loop.loop_diagram_generation as loop_diagram_generation
24 import madgraph.fks.fks_common as fks_common
25 import copy
26 import logging
27 import array
28 import madgraph.various.misc as misc
29 from madgraph import InvalidCmd
30
31 logger = logging.getLogger('madgraph.fks_base')
32
33
35
36
37
38
40 """A multi process class that contains informations on the born processes
41 and the reals.
42 """
43
50
52 """Return particle property names as a nicely sorted list."""
53 keys = super(FKSMultiProcess, self).get_sorted_keys()
54 keys += ['born_processes', 'real_amplitudes', 'real_pdgs', 'has_isr',
55 'has_fsr', 'OLP']
56 return keys
57
58 - def filter(self, name, value):
59 """Filter for valid leg property values."""
60
61 if name == 'born_processes':
62 if not isinstance(value, FKSProcessList):
63 raise self.PhysicsObjectError, \
64 "%s is not a valid list for born_processes " % str(value)
65
66 if name == 'real_amplitudes':
67 if not isinstance(value, diagram_generation.AmplitudeList):
68 raise self.PhysicsObjectError, \
69 "%s is not a valid list for real_amplitudes " % str(value)
70
71 if name == 'real_pdgs':
72 if not isinstance(value, list):
73 raise self.PhysicsObjectError, \
74 "%s is not a valid list for real_amplitudes " % str(value)
75
76 if name == 'OLP':
77 if not isinstance(value,str):
78 raise self.PhysicsObjectError, \
79 "%s is not a valid string for OLP " % str(value)
80
81 return super(FKSMultiProcess,self).filter(name, value)
82
83 - def __init__(self, *arguments, **options):
84 """Initializes the original multiprocess, then generates the amps for the
85 borns, then generate the born processes and the reals.
86 Real amplitudes are stored in real_amplitudes according on the pdgs of their
87 legs (stored in pdgs, so that they need to be generated only once and then reicycled
88 """
89
90
91 loggers_off = [logging.getLogger('madgraph.diagram_generation'),
92 logging.getLogger('madgraph.loop_diagram_generation')]
93 old_levels = [logg.level for logg in loggers_off]
94 for logg in loggers_off:
95 logg.setLevel(logging.WARNING)
96
97 self['real_amplitudes'] = diagram_generation.AmplitudeList()
98 self['pdgs'] = []
99
100 if 'OLP' in options.keys():
101 self['OLP']=options['OLP']
102 del options['OLP']
103
104
105 try:
106
107 super(FKSMultiProcess, self).__init__(*arguments,**options)
108 except diagram_generation.NoDiagramException as error:
109
110 raise NoBornException, "Born diagrams could not be generated for the "+\
111 self['process_definitions'][0].nice_string().replace('Process',\
112 'process')+". Notice that aMC@NLO does not handle loop-induced"+\
113 " processes yet, but you can still use MadLoop if you want to "+\
114 "only generate them."+\
115 " For this, use the 'virt=' mode, without multiparticle labels."
116
117
118 if arguments and isinstance(arguments, MG.Process):
119 myprocdef = arguments[0]
120 misc.sprint( myprocdef.keys())
121 if myprocdef['perturbation_couplings']!=['QCD']:
122 raise InvalidCmd("FKS for reals only available in QCD for now, you asked %s" \
123 % ', '.join(myprocdef['perturbation_couplings']))
124 elif myprocdef.get_ninitial()==1:
125 raise InvalidCmd("At this stage aMC@NLO cannot handle decay process.\n"+\
126 " Only Leading Order (loop-induced and tree level) decay are supported.")
127
128
129
130
131
132 perturbation = []
133 for procdef in self['process_definitions']:
134 soft_particles = []
135
136 if [ i['state'] for i in procdef['legs']].count(False) == 1:
137 continue
138 for pert in procdef['perturbation_couplings']:
139 if pert not in perturbation:
140 perturbation.append(pert)
141 soft_particles.extend(\
142 fks_common.find_pert_particles_interactions(\
143 procdef['model'], pert)['soft_particles'])
144 soft_particles_string = ', '.join( \
145 [procdef['model'].get('particle_dict')[id][\
146 {True:'name', False:'antiname'}[id >0] ] \
147 for id in sorted(soft_particles, reverse=True)])
148 for leg in procdef['legs']:
149 if any([id in soft_particles for id in leg['ids']]) \
150 and sorted(leg['ids']) != soft_particles:
151 logger.warning(('%s can have real emission processes ' + \
152 'which are not finite.\nTo avoid this, please use multiparticles ' + \
153 'when generating the process and be sure to include all the following ' + \
154 'particles in the multiparticle definition:\n %s' ) \
155 % (procdef.nice_string(), soft_particles_string) )
156 break
157 for procdef in self['process_definitions']:
158 procdef.set('orders', diagram_generation.MultiProcess.find_optimal_process_orders(procdef))
159
160 amps = self.get('amplitudes')
161 for i, amp in enumerate(amps):
162 logger.info("Generating FKS-subtracted matrix elements for born process%s (%d / %d)" \
163 % (amp['process'].nice_string(print_weighted=False).replace(\
164 'Process', ''),
165 i + 1, len(amps)))
166
167 born = FKSProcess(amp)
168 self['born_processes'].append(born)
169 born.generate_reals(self['pdgs'], self['real_amplitudes'])
170
171 born_pdg_list = [[l['id'] for l in born.born_proc['legs']] \
172 for born in self['born_processes'] ]
173
174 for born in self['born_processes']:
175 for real in born.real_amps:
176 real.find_fks_j_from_i(born_pdg_list)
177
178 if amps:
179 if self['process_definitions'][0].get('NLO_mode') == 'all':
180 self.generate_virtuals()
181
182 elif not self['process_definitions'][0].get('NLO_mode') in ['all', 'real','LOonly']:
183 raise fks_common.FKSProcessError(\
184 "Not a valid NLO_mode for a FKSMultiProcess: %s" % \
185 self['process_definitions'][0].get('NLO_mode'))
186
187
188 n_diag_born = sum([len(amp.get('diagrams'))
189 for amp in self.get_born_amplitudes()])
190 n_diag_real = sum([len(amp.get('diagrams'))
191 for amp in self.get_real_amplitudes()])
192 n_diag_virt = sum([len(amp.get('loop_diagrams'))
193 for amp in self.get_virt_amplitudes()])
194
195 if n_diag_virt == 0 and n_diag_real ==0 and \
196 not self['process_definitions'][0].get('NLO_mode') == 'LOonly':
197 raise fks_common.FKSProcessError(
198 'This process does not have any correction up to NLO in %s'\
199 %','.join(perturbation))
200
201 logger.info(('Generated %d subprocesses with %d real emission diagrams, ' + \
202 '%d born diagrams and %d virtual diagrams') % \
203 (len(self['born_processes']), n_diag_real, n_diag_born, n_diag_virt))
204
205 for i, logg in enumerate(loggers_off):
206 logg.setLevel(old_levels[i])
207
208 self['has_isr'] = any([proc.isr for proc in self['born_processes']])
209 self['has_fsr'] = any([proc.fsr for proc in self['born_processes']])
210
211 - def add(self, other):
212 """combines self and other, extending the lists of born/real amplitudes"""
213 self['born_processes'].extend(other['born_processes'])
214 self['real_amplitudes'].extend(other['real_amplitudes'])
215 self['pdgs'].extend(other['pdgs'])
216 self['has_isr'] = self['has_isr'] or other['has_isr']
217 self['has_fsr'] = self['has_fsr'] or other['has_fsr']
218 self['OLP'] = other['OLP']
219
221 """return an amplitudelist with the born amplitudes"""
222 return diagram_generation.AmplitudeList([born.born_amp \
223 for born in self['born_processes']])
224
226 """return an amplitudelist with the virt amplitudes"""
227 return diagram_generation.AmplitudeList([born.virt_amp \
228 for born in self['born_processes'] if born.virt_amp])
229
231 """return an amplitudelist with the real amplitudes"""
232 return self.get('real_amplitudes')
233
234
236 """For each process among the born_processes, creates the corresponding
237 virtual amplitude"""
238
239
240
241
242 if self['OLP']!='MadLoop':
243 logger.info("The loop matrix elements will be generated by "+\
244 '%s at the output stage only.'%self['OLP'])
245 return
246
247
248 loop_orders = {}
249 for born in self['born_processes']:
250 for coup, val in fks_common.find_orders(born.born_amp).items():
251 try:
252 loop_orders[coup] = max([loop_orders[coup], val])
253 except KeyError:
254 loop_orders[coup] = val
255
256 for i, born in enumerate(self['born_processes']):
257 logger.info('Generating virtual matrix elements using MadLoop:')
258 myproc = copy.copy(born.born_proc)
259
260 myproc['orders'] = loop_orders
261 myproc['legs'] = fks_common.to_legs(copy.copy(myproc['legs']))
262 logger.info('Generating virtual matrix element with MadLoop for process%s (%d / %d)' \
263 % (myproc.nice_string(print_weighted = False).replace(\
264 'Process', ''),
265 i + 1, len(self['born_processes'])))
266 myamp = loop_diagram_generation.LoopAmplitude(myproc)
267 if myamp.get('diagrams'):
268 born.virt_amp = myamp
269
270
272 """Contains information about a real process:
273 -- fks_infos (list containing the possible fks configs for a given process
274 -- amplitude
275 -- is_to_integrate
276 -- leg permutation<<REMOVED!.
277 """
278
279 - def __init__(self, born_proc, leglist, ij, ijglu,
280 perturbed_orders = ['QCD']):
281 """Initializes the real process based on born_proc and leglist.
282 Stores the fks informations into the list of dictionaries fks_infos
283 """
284 self.fks_infos = []
285 for leg in leglist:
286 if leg.get('fks') == 'i':
287 i_fks = leg.get('number')
288
289 need_color_links = leg.get('massless') \
290 and leg.get('spin') == 3 \
291 and leg.get('self_antipart')
292 if leg.get('fks') == 'j':
293 j_fks = leg.get('number')
294 self.fks_infos.append({'i' : i_fks,
295 'j' : j_fks,
296 'ij' : ij,
297 'ij_glu': ijglu,
298 'need_color_links' : need_color_links})
299
300 self.process = copy.copy(born_proc)
301 orders = copy.copy(born_proc.get('orders'))
302
303 if not 'WEIGHTED' in orders:
304 orders['WEIGHTED'] = sum([v * born_proc.get('model').get('order_hierarchy')[o] \
305 for o, v in orders.items()])
306
307 for order in perturbed_orders:
308 try:
309 orders[order] +=1
310 except KeyError:
311 pass
312 orders['WEIGHTED'] += born_proc.get('model').get('order_hierarchy')[order]
313
314 self.process.set('orders', orders)
315 legs = [(leg.get('id'), leg) for leg in leglist]
316 self.pdgs = array.array('i',[s[0] for s in legs])
317 if 'QCD' in perturbed_orders:
318 self.colors = [leg['color'] for leg in leglist]
319
320 self.charges = [0. for leg in leglist]
321 self.perturbation = 'QCD'
322 else:
323 self.colors = [leg['color'] for leg in leglist]
324 self.charges = [leg['charge'] for leg in leglist]
325 self.perturbation = 'QED'
326 self.process.set('legs', MG.LegList(leglist))
327 self.process.set('legs_with_decays', MG.LegList())
328 self.amplitude = diagram_generation.Amplitude()
329 self.is_to_integrate = True
330 self.is_nbody_only = False
331 self.fks_j_from_i = {}
332
333
335 """generates the real emission amplitude starting from self.process"""
336 self.amplitude = diagram_generation.Amplitude(self.process)
337 return self.amplitude
338
339
341 """Returns a dictionary with the entries i : [j_from_i], if the born pdgs are in
342 born_pdg_list"""
343 fks_j_from_i = {}
344 dict = {}
345 for i in self.process.get('legs'):
346 fks_j_from_i[i.get('number')] = []
347 if i.get('state'):
348 for j in [l for l in self.process.get('legs') if \
349 l.get('number') != i.get('number')]:
350 ijlist = fks_common.combine_ij(i, j, self.process.get('model'), dict,\
351 pert=self.perturbation)
352 for ij in ijlist:
353 born_leglist = fks_common.to_fks_legs(
354 copy.deepcopy(self.process.get('legs')),
355 self.process.get('model'))
356 born_leglist.remove(i)
357 born_leglist.remove(j)
358 born_leglist.insert(ij.get('number') - 1, ij)
359 born_leglist.sort(pert = self.perturbation)
360 if [l['id'] for l in born_leglist] in born_pdg_list:
361 fks_j_from_i[i.get('number')].append(\
362 j.get('number'))
363
364 self.fks_j_from_i = fks_j_from_i
365 return fks_j_from_i
366
367
369 """Returns leg corresponding to i fks.
370 An error is raised if the fks_infos list has more than one entry"""
371 if len(self.fks_infos) > 1:
372 raise fks_common.FKSProcessError(\
373 'get_leg_i should only be called before combining processes')
374 return self.process.get('legs')[self.fks_infos[0]['i'] - 1]
375
377 """Returns leg corresponding to j fks.
378 An error is raised if the fks_infos list has more than one entry"""
379 if len(self.fks_infos) > 1:
380 raise fks_common.FKSProcessError(\
381 'get_leg_j should only be called before combining processes')
382 return self.process.get('legs')[self.fks_infos[0]['j'] - 1]
383
384
386 """Class to handle lists of FKSProcesses."""
387
389 """Test if object obj is a valid FKSProcess for the list."""
390 return isinstance(obj, FKSProcess)
391
392
394 """The class for a FKS process. Starts from the born process and finds
395 all the possible splittings."""
396
397 - def __init__(self, start_proc = None, remove_reals = True):
398 """initialization: starts either from an amplitude or a process,
399 then init the needed variables.
400 remove_borns tells if the borns not needed for integration will be removed
401 from the born list (mainly used for testing)"""
402
403 self.splittings = {}
404 self.reals = []
405 self.fks_dirs = []
406 self.leglist = []
407 self.myorders = {}
408 self.pdg_codes = []
409 self.colors = []
410 self.charges = []
411 self.nlegs = 0
412 self.fks_ipos = []
413 self.fks_j_from_i = {}
414 self.real_amps = []
415 self.remove_reals = remove_reals
416 self.nincoming = 0
417 self.virt_amp = None
418 self.perturbation = 'QCD'
419
420 if not remove_reals in [True, False]:
421 raise fks_common.FKSProcessError(\
422 'Not valid type for remove_reals in FKSProcess')
423
424 if start_proc:
425 if isinstance(start_proc, MG.Process):
426 pertur = start_proc['perturbation_couplings']
427 if pertur:
428 self.perturbation = sorted(pertur)[0]
429 self.born_proc = fks_common.sort_proc(start_proc,pert = self.perturbation)
430
431 bornproc = copy.copy(self.born_proc)
432 assert bornproc==self.born_proc
433 self.born_amp = diagram_generation.Amplitude(bornproc)
434 elif isinstance(start_proc, diagram_generation.Amplitude):
435 pertur = start_proc.get('process')['perturbation_couplings']
436 if pertur:
437 self.perturbation = sorted(pertur)[0]
438 self.born_proc = fks_common.sort_proc(start_proc.get('process'),\
439 pert = self.perturbation)
440
441 bornproc = copy.copy(self.born_proc)
442 assert bornproc == self.born_proc
443 self.born_amp = diagram_generation.Amplitude(bornproc)
444 else:
445 raise fks_common.FKSProcessError(\
446 'Not valid start_proc in FKSProcess')
447 self.born_proc.set('legs_with_decays', MG.LegList())
448
449 self.leglist = fks_common.to_fks_legs(
450 self.born_proc['legs'], self.born_proc['model'])
451 self.nlegs = len(self.leglist)
452 self.pdg_codes = [leg.get('id') for leg in self.leglist]
453 if self.perturbation == 'QCD':
454 self.colors = [leg.get('color') for leg in self.leglist]
455
456 self.charges = [0. for leg in self.leglist]
457 color = 'color'
458 zero = 1
459 elif self.perturbation == 'QED':
460 self.colors = [leg.get('color') for leg in self.leglist]
461 self.charges = [leg.get('charge') for leg in self.leglist]
462 color = 'charge'
463 zero = 0.
464
465 self.isr = set([leg.get(color) for leg in self.leglist if not leg.get('state')]) != set([zero])
466 self.fsr = set([leg.get(color) for leg in self.leglist if leg.get('state')]) != set([zero])
467 for leg in self.leglist:
468 if not leg['state']:
469 self.nincoming += 1
470 self.orders = self.born_amp['process']['orders']
471
472 if sum(self.orders.values()) == 0:
473 self.orders = fks_common.find_orders(self.born_amp)
474
475 self.ndirs = 0
476
477
478
479 if self.born_proc['NLO_mode'] != 'LOonly':
480 for order in self.born_proc.get('perturbation_couplings'):
481 self.find_reals(order)
482
483
485 """generates the real amplitudes for all the real emission processes, using pdgs and real_amps
486 to avoid multiple generation of the same amplitude"""
487
488 for amp in self.real_amps:
489 try:
490 amp.amplitude = real_amp_list[pdg_list.index(amp.pdgs)]
491 except ValueError:
492 pdg_list.append(amp.pdgs)
493 real_amp_list.append(amp.generate_real_amplitude())
494
495
497 """combines real emission processes if the pdgs are the same, combining the lists
498 of fks_infos"""
499 pdgs = []
500 real_amps = []
501 old_real_amps = copy.copy(self.real_amps)
502 for amp in old_real_amps:
503 try:
504 real_amps[pdgs.index(amp.pdgs)].fks_infos.extend(amp.fks_infos)
505 except ValueError:
506 real_amps.append(amp)
507 pdgs.append(amp.pdgs)
508
509 self.real_amps = real_amps
510
511
512
514 """For all the possible splittings, creates an FKSRealProcess.
515 It removes double counted configorations from the ones to integrates and
516 sets the one which includes the bosn (is_nbody_only).
517 if combine is true, FKS_real_processes having the same pdgs (i.e. real amplitude)
518 are combined together
519 """
520
521 born_proc = copy.copy(self.born_proc)
522 born_proc['orders'] = self.orders
523 for i, list in enumerate(self.reals):
524
525 if self.leglist[i]['massless'] and self.leglist[i]['spin'] == 3:
526 ijglu = i + 1
527 else:
528 ijglu = 0
529 for l in list:
530 ij = self.leglist[i].get('number')
531 self.real_amps.append(FKSRealProcess( \
532 born_proc, l, ij, ijglu,\
533 perturbed_orders = [self.perturbation]))
534 self.find_reals_to_integrate()
535 if combine:
536 self.combine_real_amplitudes()
537 self.generate_real_amplitudes(pdg_list, real_amp_list)
538 self.link_born_reals()
539
540
542 """create the rb_links in the real matrix element to find
543 which configuration in the real correspond to which in the born
544 """
545 for real in self.real_amps:
546 for info in real.fks_infos:
547 info['rb_links'] = fks_common.link_rb_configs(\
548 self.born_amp, real.amplitude,
549 info['i'], info['j'], info['ij'])
550
551
553 """finds the FKS real configurations for a given process"""
554 if range(len(self.leglist)) != [l['number']-1 for l in self.leglist]:
555 raise fks_common.FKSProcessError('Disordered numbers of leglist')
556
557 if [ i['state'] for i in self.leglist].count(False) == 1:
558 decay_process=True
559 else:
560 decay_process=False
561
562 for i in self.leglist:
563 i_i = i['number'] - 1
564 self.reals.append([])
565 if decay_process and not i['state']:
566 self.splittings[i_i]=[]
567 else:
568 self.splittings[i_i] = fks_common.find_splittings(i, self.born_proc['model'], {}, pert_order)
569 for split in self.splittings[i_i]:
570 self.reals[i_i].append(
571 fks_common.insert_legs(self.leglist, i, split,pert=pert_order))
572
573
574
576 """Finds double countings in the real emission configurations, sets the
577 is_to_integrate variable and if "self.remove_reals" is True removes the
578 not needed ones from the born list.
579 """
580
581 ninit = len(self.real_amps)
582 remove = self.remove_reals
583
584 for m in range(ninit):
585 for n in range(m + 1, ninit):
586 real_m = self.real_amps[m]
587 real_n = self.real_amps[n]
588 if len(real_m.fks_infos) > 1 or len(real_m.fks_infos) > 1:
589 raise fks_common.FKSProcessError(\
590 'find_reals_to_integrate should only be called before combining processes')
591
592 i_m = real_m.fks_infos[0]['i']
593 j_m = real_m.fks_infos[0]['j']
594 i_n = real_n.fks_infos[0]['i']
595 j_n = real_n.fks_infos[0]['j']
596 if j_m > self.nincoming and j_n > self.nincoming:
597 if (real_m.get_leg_i()['id'] == real_n.get_leg_i()['id'] \
598 and \
599 real_m.get_leg_j()['id'] == real_n.get_leg_j()['id']) \
600 or \
601 (real_m.get_leg_i()['id'] == real_n.get_leg_j()['id'] \
602 and \
603 real_m.get_leg_j()['id'] == real_n.get_leg_i()['id']):
604 if i_m > i_n:
605 print real_m.get_leg_i()['id'], real_m.get_leg_j()['id']
606 if real_m.get_leg_i()['id'] == -real_m.get_leg_j()['id']:
607 self.real_amps[m].is_to_integrate = False
608 else:
609 self.real_amps[n].is_to_integrate = False
610 elif i_m == i_n and j_m > j_n:
611 print real_m.get_leg_i()['id'], real_m.get_leg_j()['id']
612 if real_m.get_leg_i()['id'] == -real_m.get_leg_j()['id']:
613 self.real_amps[m].is_to_integrate = False
614 else:
615 self.real_amps[n].is_to_integrate = False
616
617 elif i_m == i_n and j_m == j_n and \
618 not real_m.get_leg_j()['self_antipart'] and \
619 not real_m.get_leg_i()['self_antipart']:
620 if real_m.fks_infos[0]['ij'] > real_n.fks_infos[0]['ij']:
621 real_m.is_to_integrate = False
622 else:
623 real_n.is_to_integrate = False
624 else:
625 if real_m.get_leg_i()['id'] == -real_m.get_leg_j()['id']:
626 self.real_amps[n].is_to_integrate = False
627 else:
628 self.real_amps[m].is_to_integrate = False
629
630 elif j_m <= self.nincoming and j_n == j_m:
631 if real_m.get_leg_i()['id'] == real_n.get_leg_i()['id'] and \
632 real_m.get_leg_j()['id'] == real_n.get_leg_j()['id']:
633 if i_m > i_n:
634 self.real_amps[n].is_to_integrate = False
635 else:
636 self.real_amps[m].is_to_integrate = False
637 if remove:
638 newreal_amps = []
639 for real in self.real_amps:
640 if real.is_to_integrate:
641 newreal_amps.append(real)
642 self.real_amps = newreal_amps
643