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16 """Definitions of the objects needed for the implementation of MadFKS"""
17
18 from __future__ import absolute_import
19 from __future__ import print_function
20 import madgraph.core.base_objects as MG
21 import madgraph.core.helas_objects as helas_objects
22 import madgraph.core.diagram_generation as diagram_generation
23 import madgraph.core.color_amp as color_amp
24 import madgraph.core.color_algebra as color_algebra
25 import madgraph.loop.loop_diagram_generation as loop_diagram_generation
26 import madgraph.fks.fks_common as fks_common
27 import copy
28 import logging
29 import array
30 import madgraph.various.misc as misc
31 from madgraph import InvalidCmd
32 from six.moves import range
33
34 logger = logging.getLogger('madgraph.fks_base')
35
36
38
39
40
41
43 """A multi process class that contains informations on the born processes
44 and the reals.
45 """
46
56
58 """Return particle property names as a nicely sorted list."""
59 keys = super(FKSMultiProcess, self).get_sorted_keys()
60 keys += ['born_processes', 'real_amplitudes', 'real_pdgs', 'has_isr',
61 'has_fsr', 'OLP', 'ncores_for_proc_gen']
62 return keys
63
64 - def filter(self, name, value):
88
89 - def __init__(self, procdef=None, options={}):
90 """Initializes the original multiprocess, then generates the amps for the
91 borns, then generate the born processes and the reals.
92 Real amplitudes are stored in real_amplitudes according on the pdgs of their
93 legs (stored in pdgs, so that they need to be generated only once and then reicycled
94 """
95
96
97 loggers_off = [logging.getLogger('madgraph.diagram_generation'),
98 logging.getLogger('madgraph.loop_diagram_generation')]
99 old_levels = [logg.level for logg in loggers_off]
100 for logg in loggers_off:
101 logg.setLevel(logging.WARNING)
102
103
104 olp='MadLoop'
105 if 'OLP' in list(options.keys()):
106 olp = options['OLP']
107 del options['OLP']
108
109 ncores_for_proc_gen = 0
110
111
112
113
114 if 'ncores_for_proc_gen' in list(options.keys()):
115 ncores_for_proc_gen = options['ncores_for_proc_gen']
116 del options['ncores_for_proc_gen']
117
118 try:
119
120 super(FKSMultiProcess, self).__init__(procdef, **options)
121
122 except diagram_generation.NoDiagramException as error:
123
124 raise NoBornException("Born diagrams could not be generated for the "+\
125 self['process_definitions'][0].nice_string().replace('Process',\
126 'process')+". Notice that aMC@NLO does not handle loop-induced"+\
127 " processes yet, but you can still use MadLoop if you want to "+\
128 "only generate them."+\
129 " For this, use the 'virt=' mode, without multiparticle labels.")
130
131 self['OLP'] = olp
132 self['ncores_for_proc_gen'] = ncores_for_proc_gen
133
134
135
136
137
138 perturbation = []
139 for procdef in self['process_definitions']:
140 soft_particles = []
141
142 if [ i['state'] for i in procdef['legs']].count(False) == 1:
143 continue
144 for pert in procdef['perturbation_couplings']:
145 if pert not in perturbation:
146 perturbation.append(pert)
147 soft_particles.extend(\
148 fks_common.find_pert_particles_interactions(\
149 procdef['model'], pert)['soft_particles'])
150 soft_particles_string = ', '.join( \
151 [procdef['model'].get('particle_dict')[id][\
152 {True:'name', False:'antiname'}[id >0] ] \
153 for id in sorted(soft_particles, reverse=True)])
154 for leg in procdef['legs']:
155 if any([id in soft_particles for id in leg['ids']]) \
156 and sorted(leg['ids']) != soft_particles:
157 logger.warning(('%s can have real emission processes ' + \
158 'which are not finite.\nTo avoid this, please use multiparticles ' + \
159 'when generating the process and be sure to include all the following ' + \
160 'particles in the multiparticle definition:\n %s' ) \
161 % (procdef.nice_string(), soft_particles_string) )
162 break
163 for procdef in self['process_definitions']:
164 procdef.set('orders', diagram_generation.MultiProcess.find_optimal_process_orders(procdef))
165
166 amps = self.get('amplitudes')
167 for i, amp in enumerate(amps):
168 logger.info("Generating FKS-subtracted matrix elements for born process%s (%d / %d)" \
169 % (amp['process'].nice_string(print_weighted=False).replace(\
170 'Process', ''),
171 i + 1, len(amps)))
172
173 born = FKSProcess(amp, ncores_for_proc_gen = self['ncores_for_proc_gen'])
174 self['born_processes'].append(born)
175 born.generate_reals(self['pdgs'], self['real_amplitudes'])
176
177 if not self['ncores_for_proc_gen']:
178
179
180 born_pdg_list = [[l['id'] for l in born.born_proc['legs']] \
181 for born in self['born_processes'] ]
182
183 for born in self['born_processes']:
184 for real in born.real_amps:
185 real.find_fks_j_from_i(born_pdg_list)
186 if amps:
187 if self['process_definitions'][0].get('NLO_mode') == 'all':
188 self.generate_virtuals()
189
190 elif not self['process_definitions'][0].get('NLO_mode') in ['all', 'real','LOonly']:
191 raise fks_common.FKSProcessError(\
192 "Not a valid NLO_mode for a FKSMultiProcess: %s" % \
193 self['process_definitions'][0].get('NLO_mode'))
194
195
196 n_diag_born = sum([len(amp.get('diagrams'))
197 for amp in self.get_born_amplitudes()])
198 n_diag_real = sum([len(amp.get('diagrams'))
199 for amp in self.get_real_amplitudes()])
200 n_diag_virt = sum([len(amp.get('loop_diagrams'))
201 for amp in self.get_virt_amplitudes()])
202
203 if n_diag_virt == 0 and n_diag_real ==0 and \
204 not self['process_definitions'][0].get('NLO_mode') == 'LOonly':
205 raise fks_common.FKSProcessError(
206 'This process does not have any correction up to NLO in %s'\
207 %','.join(perturbation))
208
209 logger.info(('Generated %d subprocesses with %d real emission diagrams, ' + \
210 '%d born diagrams and %d virtual diagrams') % \
211 (len(self['born_processes']), n_diag_real, n_diag_born, n_diag_virt))
212
213 for i, logg in enumerate(loggers_off):
214 logg.setLevel(old_levels[i])
215
216 self['has_isr'] = any([proc.isr for proc in self['born_processes']])
217 self['has_fsr'] = any([proc.fsr for proc in self['born_processes']])
218
219 - def add(self, other):
220 """combines self and other, extending the lists of born/real amplitudes"""
221 self['process_definitions'].extend(other['process_definitions'])
222 self['amplitudes'].extend(other['amplitudes'])
223 self['born_processes'].extend(other['born_processes'])
224 self['real_amplitudes'].extend(other['real_amplitudes'])
225 self['pdgs'].extend(other['pdgs'])
226 self['has_isr'] = self['has_isr'] or other['has_isr']
227 self['has_fsr'] = self['has_fsr'] or other['has_fsr']
228 self['OLP'] = other['OLP']
229 self['ncores_for_proc_gen'] = other['ncores_for_proc_gen']
230
232 """return an amplitudelist with the born amplitudes"""
233 return diagram_generation.AmplitudeList([born.born_amp \
234 for born in self['born_processes']])
235
237 """return an amplitudelist with the virt amplitudes"""
238 return diagram_generation.AmplitudeList([born.virt_amp \
239 for born in self['born_processes'] if born.virt_amp])
240
242 """return an amplitudelist with the real amplitudes"""
243 return self.get('real_amplitudes')
244
245
247 """For each process among the born_processes, creates the corresponding
248 virtual amplitude"""
249
250
251
252
253 if self['OLP']!='MadLoop':
254 logger.info("The loop matrix elements will be generated by "+\
255 '%s at the output stage only.'%self['OLP'])
256 return
257
258
259 loop_orders = {}
260 for born in self['born_processes']:
261 for coup, val in fks_common.find_orders(born.born_amp).items():
262 try:
263 loop_orders[coup] = max([loop_orders[coup], val])
264 except KeyError:
265 loop_orders[coup] = val
266
267 for i, born in enumerate(self['born_processes']):
268 logger.info('Generating virtual matrix elements using MadLoop:')
269 myproc = copy.copy(born.born_proc)
270
271 myproc['orders'] = loop_orders
272 myproc['legs'] = fks_common.to_legs(copy.copy(myproc['legs']))
273 logger.info('Generating virtual matrix element with MadLoop for process%s (%d / %d)' \
274 % (myproc.nice_string(print_weighted = False).replace(\
275 'Process', ''),
276 i + 1, len(self['born_processes'])))
277 myamp = loop_diagram_generation.LoopAmplitude(myproc)
278 if myamp.get('diagrams'):
279 born.virt_amp = myamp
280
281
283 """Contains information about a real process:
284 -- fks_infos (list containing the possible fks configs for a given process
285 -- amplitude
286 -- is_to_integrate
287 -- leg permutation<<REMOVED!.
288 """
289
290 - def __init__(self, born_proc, leglist, ij, ijglu,
291 perturbed_orders = ['QCD']):
292 """Initializes the real process based on born_proc and leglist.
293 Stores the fks informations into the list of dictionaries fks_infos
294 """
295 self.fks_infos = []
296 for leg in leglist:
297 if leg.get('fks') == 'i':
298 i_fks = leg.get('number')
299
300 need_color_links = leg.get('massless') \
301 and leg.get('spin') == 3 \
302 and leg.get('self_antipart')
303 if leg.get('fks') == 'j':
304 j_fks = leg.get('number')
305 self.fks_infos.append({'i' : i_fks,
306 'j' : j_fks,
307 'ij' : ij,
308 'ij_glu': ijglu,
309 'need_color_links' : need_color_links})
310
311 self.process = copy.copy(born_proc)
312 orders = copy.copy(born_proc.get('orders'))
313
314 if not 'WEIGHTED' in orders:
315 orders['WEIGHTED'] = sum([v * born_proc.get('model').get('order_hierarchy')[o] \
316 for o, v in orders.items()])
317
318 for order in perturbed_orders:
319 try:
320 orders[order] +=1
321 except KeyError:
322 pass
323 orders['WEIGHTED'] += born_proc.get('model').get('order_hierarchy')[order]
324
325 self.process.set('orders', orders)
326 legs = [(leg.get('id'), leg) for leg in leglist]
327 self.pdgs = array.array('i',[s[0] for s in legs])
328 if 'QCD' in perturbed_orders:
329 self.colors = [leg['color'] for leg in leglist]
330
331 self.charges = [0. for leg in leglist]
332 self.perturbation = 'QCD'
333 else:
334 self.colors = [leg['color'] for leg in leglist]
335 self.charges = [leg['charge'] for leg in leglist]
336 self.perturbation = 'QED'
337 self.process.set('legs', MG.LegList(leglist))
338 self.process.set('legs_with_decays', MG.LegList())
339 self.amplitude = diagram_generation.Amplitude()
340 self.is_to_integrate = True
341 self.is_nbody_only = False
342 self.fks_j_from_i = {}
343
344
346 """generates the real emission amplitude starting from self.process"""
347 self.amplitude = diagram_generation.Amplitude(self.process)
348 return self.amplitude
349
350
352 """Returns a dictionary with the entries i : [j_from_i], if the born pdgs are in
353 born_pdg_list"""
354 fks_j_from_i = {}
355 dict = {}
356 for i in self.process.get('legs'):
357 fks_j_from_i[i.get('number')] = []
358 if i.get('state'):
359 for j in [l for l in self.process.get('legs') if \
360 l.get('number') != i.get('number')]:
361 ijlist = fks_common.combine_ij(i, j, self.process.get('model'), dict,\
362 pert=self.perturbation)
363 for ij in ijlist:
364 born_leglist = fks_common.to_fks_legs(
365 copy.deepcopy(self.process.get('legs')),
366 self.process.get('model'))
367 born_leglist.remove(i)
368 born_leglist.remove(j)
369 born_leglist.insert(ij.get('number') - 1, ij)
370 born_leglist.sort(pert = self.perturbation)
371 if [l['id'] for l in born_leglist] in born_pdg_list:
372 fks_j_from_i[i.get('number')].append(\
373 j.get('number'))
374
375 self.fks_j_from_i = fks_j_from_i
376 return fks_j_from_i
377
378
380 """Returns leg corresponding to i fks.
381 An error is raised if the fks_infos list has more than one entry"""
382 if len(self.fks_infos) > 1:
383 raise fks_common.FKSProcessError(\
384 'get_leg_i should only be called before combining processes')
385 return self.process.get('legs')[self.fks_infos[0]['i'] - 1]
386
388 """Returns leg corresponding to j fks.
389 An error is raised if the fks_infos list has more than one entry"""
390 if len(self.fks_infos) > 1:
391 raise fks_common.FKSProcessError(\
392 'get_leg_j should only be called before combining processes')
393 return self.process.get('legs')[self.fks_infos[0]['j'] - 1]
394
395
397 """Class to handle lists of FKSProcesses."""
398
400 """Test if object obj is a valid FKSProcess for the list."""
401 return isinstance(obj, FKSProcess)
402
403
405 """The class for a FKS process. Starts from the born process and finds
406 all the possible splittings."""
407
408 - def __init__(self, start_proc = None, remove_reals = True, ncores_for_proc_gen=0):
409 """initialization: starts either from an amplitude or a process,
410 then init the needed variables.
411 remove_borns tells if the borns not needed for integration will be removed
412 from the born list (mainly used for testing)
413 ncores_for_proc_gen has the following meaning
414 0 : do things the old way
415 > 0 use ncores_for_proc_gen
416 -1 : use all cores
417 """
418
419 self.splittings = {}
420 self.reals = []
421 self.fks_dirs = []
422 self.leglist = []
423 self.myorders = {}
424 self.pdg_codes = []
425 self.colors = []
426 self.charges = []
427 self.nlegs = 0
428 self.fks_ipos = []
429 self.fks_j_from_i = {}
430 self.real_amps = []
431 self.remove_reals = remove_reals
432 self.nincoming = 0
433 self.virt_amp = None
434 self.perturbation = 'QCD'
435 self.ncores_for_proc_gen = ncores_for_proc_gen
436
437 if not remove_reals in [True, False]:
438 raise fks_common.FKSProcessError(\
439 'Not valid type for remove_reals in FKSProcess')
440
441 if start_proc:
442 if isinstance(start_proc, MG.Process):
443 pertur = start_proc['perturbation_couplings']
444 if pertur:
445 self.perturbation = sorted(pertur)[0]
446 self.born_proc = fks_common.sort_proc(start_proc,pert = self.perturbation)
447
448 bornproc = copy.copy(self.born_proc)
449 assert bornproc==self.born_proc
450 self.born_amp = diagram_generation.Amplitude(bornproc)
451 elif isinstance(start_proc, diagram_generation.Amplitude):
452 pertur = start_proc.get('process')['perturbation_couplings']
453 if pertur:
454 self.perturbation = sorted(pertur)[0]
455 self.born_proc = fks_common.sort_proc(start_proc.get('process'),\
456 pert = self.perturbation)
457
458 bornproc = copy.copy(self.born_proc)
459 assert bornproc == self.born_proc
460 self.born_amp = diagram_generation.Amplitude(bornproc)
461 else:
462 raise fks_common.FKSProcessError(\
463 'Not valid start_proc in FKSProcess')
464 self.born_proc.set('legs_with_decays', MG.LegList())
465
466 self.leglist = fks_common.to_fks_legs(
467 self.born_proc['legs'], self.born_proc['model'])
468 self.nlegs = len(self.leglist)
469 self.pdg_codes = [leg.get('id') for leg in self.leglist]
470 if self.perturbation == 'QCD':
471 self.colors = [leg.get('color') for leg in self.leglist]
472
473 self.charges = [0. for leg in self.leglist]
474 color = 'color'
475 zero = 1
476 elif self.perturbation == 'QED':
477 self.colors = [leg.get('color') for leg in self.leglist]
478 self.charges = [leg.get('charge') for leg in self.leglist]
479 color = 'charge'
480 zero = 0.
481
482 self.isr = set([leg.get(color) for leg in self.leglist if not leg.get('state')]) != set([zero])
483 self.fsr = set([leg.get(color) for leg in self.leglist if leg.get('state')]) != set([zero])
484 for leg in self.leglist:
485 if not leg['state']:
486 self.nincoming += 1
487 self.orders = self.born_amp['process']['orders']
488
489 if sum(self.orders.values()) == 0:
490 self.orders = fks_common.find_orders(self.born_amp)
491
492 self.ndirs = 0
493
494
495
496 if self.born_proc['NLO_mode'] != 'LOonly':
497 for order in self.born_proc.get('perturbation_couplings'):
498 self.find_reals(order)
499
500
502 """generates the real amplitudes for all the real emission processes, using pdgs and real_amps
503 to avoid multiple generation of the same amplitude"""
504
505 for amp in self.real_amps:
506 try:
507 amp.amplitude = real_amp_list[pdg_list.index(amp.pdgs)]
508 except ValueError:
509 pdg_list.append(amp.pdgs)
510 real_amp_list.append(amp.generate_real_amplitude())
511
512
514 """combines real emission processes if the pdgs are the same, combining the lists
515 of fks_infos"""
516 pdgs = []
517 real_amps = []
518 old_real_amps = copy.copy(self.real_amps)
519 for amp in old_real_amps:
520 try:
521 real_amps[pdgs.index(amp.pdgs)].fks_infos.extend(amp.fks_infos)
522 except ValueError:
523 real_amps.append(amp)
524 pdgs.append(amp.pdgs)
525
526 self.real_amps = real_amps
527
528
530 """For all the possible splittings, creates an FKSRealProcess.
531 It removes double counted configorations from the ones to integrates and
532 sets the one which includes the bosn (is_nbody_only).
533 if combine is true, FKS_real_processes having the same pdgs (i.e. real amplitude)
534 are combined together
535 """
536
537 born_proc = copy.copy(self.born_proc)
538 born_proc['orders'] = self.orders
539 for i, list in enumerate(self.reals):
540
541 if self.leglist[i]['massless'] and self.leglist[i]['spin'] == 3:
542 ijglu = i + 1
543 else:
544 ijglu = 0
545 for l in list:
546 ij = self.leglist[i].get('number')
547 self.real_amps.append(FKSRealProcess( \
548 born_proc, l, ij, ijglu,\
549 perturbed_orders = [self.perturbation]))
550 self.find_reals_to_integrate()
551 if combine:
552 self.combine_real_amplitudes()
553 if not self.ncores_for_proc_gen:
554 self.generate_real_amplitudes(pdg_list, real_amp_list)
555 self.link_born_reals()
556
557
559 """create the rb_links in the real matrix element to find
560 which configuration in the real correspond to which in the born
561 """
562 for real in self.real_amps:
563 for info in real.fks_infos:
564 info['rb_links'] = fks_common.link_rb_configs(\
565 self.born_amp, real.amplitude,
566 info['i'], info['j'], info['ij'])
567
568
570 """finds the FKS real configurations for a given process"""
571 if list(range(len(self.leglist))) != [l['number']-1 for l in self.leglist]:
572 raise fks_common.FKSProcessError('Disordered numbers of leglist')
573
574 if [ i['state'] for i in self.leglist].count(False) == 1:
575 decay_process=True
576 else:
577 decay_process=False
578
579 for i in self.leglist:
580 i_i = i['number'] - 1
581 self.reals.append([])
582 if decay_process and not i['state']:
583 self.splittings[i_i]=[]
584 else:
585 self.splittings[i_i] = fks_common.find_splittings(i, self.born_proc['model'], {}, pert_order)
586 for split in self.splittings[i_i]:
587 self.reals[i_i].append(
588 fks_common.insert_legs(self.leglist, i, split,pert=pert_order))
589
590
591
593 """Finds double countings in the real emission configurations, sets the
594 is_to_integrate variable and if "self.remove_reals" is True removes the
595 not needed ones from the born list.
596 """
597
598 ninit = len(self.real_amps)
599 remove = self.remove_reals
600
601 for m in range(ninit):
602 for n in range(m + 1, ninit):
603 real_m = self.real_amps[m]
604 real_n = self.real_amps[n]
605 if len(real_m.fks_infos) > 1 or len(real_m.fks_infos) > 1:
606 raise fks_common.FKSProcessError(\
607 'find_reals_to_integrate should only be called before combining processes')
608
609 i_m = real_m.fks_infos[0]['i']
610 j_m = real_m.fks_infos[0]['j']
611 i_n = real_n.fks_infos[0]['i']
612 j_n = real_n.fks_infos[0]['j']
613 if j_m > self.nincoming and j_n > self.nincoming:
614 if (real_m.get_leg_i()['id'] == real_n.get_leg_i()['id'] \
615 and \
616 real_m.get_leg_j()['id'] == real_n.get_leg_j()['id']) \
617 or \
618 (real_m.get_leg_i()['id'] == real_n.get_leg_j()['id'] \
619 and \
620 real_m.get_leg_j()['id'] == real_n.get_leg_i()['id']):
621 if i_m > i_n:
622 print(real_m.get_leg_i()['id'], real_m.get_leg_j()['id'])
623 if real_m.get_leg_i()['id'] == -real_m.get_leg_j()['id']:
624 self.real_amps[m].is_to_integrate = False
625 else:
626 self.real_amps[n].is_to_integrate = False
627 elif i_m == i_n and j_m > j_n:
628 print(real_m.get_leg_i()['id'], real_m.get_leg_j()['id'])
629 if real_m.get_leg_i()['id'] == -real_m.get_leg_j()['id']:
630 self.real_amps[m].is_to_integrate = False
631 else:
632 self.real_amps[n].is_to_integrate = False
633
634 elif i_m == i_n and j_m == j_n and \
635 not real_m.get_leg_j()['self_antipart'] and \
636 not real_m.get_leg_i()['self_antipart']:
637 if real_m.fks_infos[0]['ij'] > real_n.fks_infos[0]['ij']:
638 real_m.is_to_integrate = False
639 else:
640 real_n.is_to_integrate = False
641 else:
642 if real_m.get_leg_i()['id'] == -real_m.get_leg_j()['id']:
643 self.real_amps[n].is_to_integrate = False
644 else:
645 self.real_amps[m].is_to_integrate = False
646
647 elif j_m <= self.nincoming and j_n == j_m:
648 if real_m.get_leg_i()['id'] == real_n.get_leg_i()['id'] and \
649 real_m.get_leg_j()['id'] == real_n.get_leg_j()['id']:
650 if i_m > i_n:
651 self.real_amps[n].is_to_integrate = False
652 else:
653 self.real_amps[m].is_to_integrate = False
654 if remove:
655 newreal_amps = []
656 for real in self.real_amps:
657 if real.is_to_integrate:
658 newreal_amps.append(real)
659 self.real_amps = newreal_amps
660