def setUp(self):
# Set up model
mypartlist = base_objects.ParticleList()
myinterlist = base_objects.InteractionList()
# u and c quarkd and their antiparticles
mypartlist.append(
base_objects.Particle({
'name': 'u',
'antiname': 'u~',
'spin': 2,
'color': 3,
'mass': 'ZERO',
'width': 'ZERO',
'texname': 'u',
'antitexname': '\bar u',
'line': 'straight',
'charge': 2. / 3.,
'pdg_code': 2,
'propagating': True,
'is_part': True,
'self_antipart': False
}))
u = mypartlist[len(mypartlist) - 1]
antiu = copy.copy(u)
antiu.set('is_part', False)
mypartlist.append(
base_objects.Particle({
'name': 'c',
'antiname': 'c~',
'spin': 2,
'color': 3,
'mass': 'MC',
'width': 'ZERO',
'texname': 'c',
'antitexname': '\bar c',
'line': 'straight',
'charge': 2. / 3.,
'pdg_code': 4,
'propagating': True,
'is_part': True,
'self_antipart': False
}))
c = mypartlist[len(mypartlist) - 1]
antic = copy.copy(c)
antic.set('is_part', False)
# A gluon
mypartlist.append(
base_objects.Particle({
'name': 'g',
'antiname': 'g',
'spin': 3,
'color': 8,
'mass': 'ZERO',
'width': 'ZERO',
'texname': 'g',
'antitexname': 'g',
'line': 'curly',
'charge': 0.,
'pdg_code': 21,
'propagating': True,
'is_part': True,
'self_antipart': True
}))
g = mypartlist[len(mypartlist) - 1]
# A photon
mypartlist.append(
base_objects.Particle({
'name': 'Z',
'antiname': 'Z',
'spin': 3,
'color': 1,
'mass': 'MZ',
'width': 'WZ',
'texname': 'Z',
'antitexname': 'Z',
'line': 'wavy',
'charge': 0.,
'pdg_code': 23,
'propagating': True,
'is_part': True,
'self_antipart': True
}))
z = mypartlist[len(mypartlist) - 1]
# Gluon couplings to quarks
myinterlist.append(base_objects.Interaction({
'id': 1,
'particles': base_objects.ParticleList(\
[antiu, \
u, \
g]),
'color': [color.ColorString([color.T(2, 1, 0)])],
'lorentz':['FFV1'],
'couplings':{(0, 0):'GC_10'},
'orders':{'QCD':1}}))
# Gamma couplings to quarks
myinterlist.append(base_objects.Interaction({
'id': 2,
'particles': base_objects.ParticleList(\
[antiu, \
u, \
z]),
'color': [color.ColorString([color.T(1, 0)])],
'lorentz':['FFV2', 'FFV5'],
'couplings':{(0,0): 'GC_35', (0,1): 'GC_47'},
'orders':{'QED':1}}))
self.mymodel.set('particles', mypartlist)
self.mymodel.set('interactions', myinterlist)
self.mymodel.set('name', 'sm')
self.mypythonmodel = helas_call_writers.PythonUFOHelasCallWriter(
self.mymodel)
myleglist = base_objects.LegList()
myleglist.append(base_objects.Leg({'id': 2, 'state': False}))
myleglist.append(base_objects.Leg({'id': -2, 'state': False}))
myleglist.append(base_objects.Leg({'id': 2, 'state': True}))
myleglist.append(base_objects.Leg({'id': -2, 'state': True}))
myproc = base_objects.Process({
'legs': myleglist,
'model': self.mymodel
})
myamplitude = diagram_generation.Amplitude({'process': myproc})
self.mymatrixelement = helas_objects.HelasMultiProcess(myamplitude)
myleglist = base_objects.LegList()
myleglist.append(
base_objects.Leg({
'id': 4,
'state': False,
'number': 1
}))
myleglist.append(
base_objects.Leg({
'id': -4,
'state': False,
'number': 2
}))
myleglist.append(
base_objects.Leg({
'id': 4,
'state': True,
'number': 3
}))
myleglist.append(
base_objects.Leg({
'id': -4,
'state': True,
'number': 4
}))
myproc = base_objects.Process({
'legs': myleglist,
'model': self.mymodel
})
self.mymatrixelement.get('matrix_elements')[0].\
get('processes').append(myproc)
self.exporter = export_python.ProcessExporterPython(\
self.mymatrixelement, self.mypythonmodel)
def test_run_python_matrix_element(self):
"""Test a complete running of a Python matrix element without
writing any files"""
# Import the SM
sm_path = import_ufo.find_ufo_path('sm')
model = import_ufo.import_model(sm_path)
myleglist = base_objects.LegList()
myleglist.append(
base_objects.Leg({
'id': -11,
'state': False,
'number': 1
}))
myleglist.append(
base_objects.Leg({
'id': 11,
'state': False,
'number': 2
}))
myleglist.append(
base_objects.Leg({
'id': 22,
'state': True,
'number': 3
}))
myleglist.append(
base_objects.Leg({
'id': 22,
'state': True,
'number': 4
}))
myleglist.append(
base_objects.Leg({
'id': 22,
'state': True,
'number': 5
}))
myproc = base_objects.Process({'legs': myleglist, 'model': model})
myamplitude = diagram_generation.Amplitude({'process': myproc})
mymatrixelement = helas_objects.HelasMatrixElement(myamplitude)
# Create only the needed aloha routines
wanted_lorentz = mymatrixelement.get_used_lorentz()
aloha_model = create_aloha.AbstractALOHAModel(model.get('name'))
aloha_model.compute_subset(wanted_lorentz)
# Write out the routines in Python
aloha_routines = []
for routine in aloha_model.values():
aloha_routines.append(routine.write(output_dir = None,
language = 'Python').\
replace('import wavefunctions',
'import aloha.template_files.wavefunctions as wavefunctions'))
# Define the routines to be available globally
for routine in aloha_routines:
exec(routine, globals())
# Write the matrix element(s) in Python
mypythonmodel = helas_call_writers.PythonUFOHelasCallWriter(\
model)
exporter = export_python.ProcessExporterPython(\
mymatrixelement,
mypythonmodel)
matrix_methods = exporter.get_python_matrix_methods()
# Calculate parameters and couplings
full_model = model_reader.ModelReader(model)
full_model.set_parameters_and_couplings()
# Define a momentum
p = [[
0.5000000e+03, 0.0000000e+00, 0.0000000e+00, 0.5000000e+03,
0.0000000e+00
],
[
0.5000000e+03, 0.0000000e+00, 0.0000000e+00, -0.5000000e+03,
0.0000000e+00
],
[
0.4585788e+03, 0.1694532e+03, 0.3796537e+03, -0.1935025e+03,
0.6607249e-05
],
[
0.3640666e+03, -0.1832987e+02, -0.3477043e+03, 0.1063496e+03,
0.7979012e-05
],
[
0.1773546e+03, -0.1511234e+03, -0.3194936e+02, 0.8715287e+02,
0.1348699e-05
]]
# Evaluate the matrix element for the given momenta
answer = 1.39189717257175028e-007
for process in matrix_methods.keys():
# Define Python matrix element for process
exec(matrix_methods[process])
# Calculate the matrix element for the momentum p
value = eval("Matrix_0_epem_aaa().smatrix(p, full_model)")
self.assertTrue(abs(value-answer)/answer < 1e-6,
"Value is: %.9e should be %.9e" % \
(abs(value), answer))
def test_export_matrix_element_python_madevent_group(self):
"""Test the result of exporting a subprocess group matrix element"""
# Setup a model
mypartlist = base_objects.ParticleList()
myinterlist = base_objects.InteractionList()
# A gluon
mypartlist.append(
base_objects.Particle({
'name': 'g',
'antiname': 'g',
'spin': 3,
'color': 8,
'mass': 'zero',
'width': 'zero',
'texname': 'g',
'antitexname': 'g',
'line': 'curly',
'charge': 0.,
'pdg_code': 21,
'propagating': True,
'is_part': True,
'self_antipart': True
}))
g = mypartlist[-1]
# A quark U and its antiparticle
mypartlist.append(
base_objects.Particle({
'name': 'u',
'antiname': 'u~',
'spin': 2,
'color': 3,
'mass': 'zero',
'width': 'zero',
'texname': 'u',
'antitexname': '\bar u',
'line': 'straight',
'charge': 2. / 3.,
'pdg_code': 2,
'propagating': True,
'is_part': True,
'self_antipart': False
}))
u = mypartlist[-1]
antiu = copy.copy(u)
antiu.set('is_part', False)
# A quark D and its antiparticle
mypartlist.append(
base_objects.Particle({
'name': 'd',
'antiname': 'd~',
'spin': 2,
'color': 3,
'mass': 'zero',
'width': 'zero',
'texname': 'd',
'antitexname': '\bar d',
'line': 'straight',
'charge': -1. / 3.,
'pdg_code': 1,
'propagating': True,
'is_part': True,
'self_antipart': False
}))
d = mypartlist[-1]
antid = copy.copy(d)
antid.set('is_part', False)
# A photon
mypartlist.append(
base_objects.Particle({
'name': 'a',
'antiname': 'a',
'spin': 3,
'color': 1,
'mass': 'zero',
'width': 'zero',
'texname': '\gamma',
'antitexname': '\gamma',
'line': 'wavy',
'charge': 0.,
'pdg_code': 22,
'propagating': True,
'is_part': True,
'self_antipart': True
}))
a = mypartlist[-1]
# A Z
mypartlist.append(
base_objects.Particle({
'name': 'z',
'antiname': 'z',
'spin': 3,
'color': 1,
'mass': 'MZ',
'width': 'WZ',
'texname': 'Z',
'antitexname': 'Z',
'line': 'wavy',
'charge': 0.,
'pdg_code': 23,
'propagating': True,
'is_part': True,
'self_antipart': True
}))
z = mypartlist[-1]
# Gluon and photon couplings to quarks
myinterlist.append(base_objects.Interaction({
'id': 1,
'particles': base_objects.ParticleList(\
[antiu, \
u, \
g]),
'color': [],
'lorentz':['L1'],
'couplings':{(0, 0):'GQQ'},
'orders':{'QCD':1}}))
myinterlist.append(base_objects.Interaction({
'id': 2,
'particles': base_objects.ParticleList(\
[antiu, \
u, \
a]),
'color': [],
'lorentz':['L1'],
'couplings':{(0, 0):'GQED'},
'orders':{'QED':1}}))
myinterlist.append(base_objects.Interaction({
'id': 3,
'particles': base_objects.ParticleList(\
[antid, \
d, \
g]),
'color': [],
'lorentz':['L1'],
'couplings':{(0, 0):'GQQ'},
'orders':{'QCD':1}}))
myinterlist.append(base_objects.Interaction({
'id': 4,
'particles': base_objects.ParticleList(\
[antid, \
d, \
a]),
'color': [],
'lorentz':['L1'],
'couplings':{(0, 0):'GQED'},
'orders':{'QED':1}}))
# 3 gluon vertiex
myinterlist.append(base_objects.Interaction({
'id': 5,
'particles': base_objects.ParticleList(\
[g] * 3),
'color': [],
'lorentz':['L1'],
'couplings':{(0, 0):'G'},
'orders':{'QCD':1}}))
# Coupling of Z to quarks
myinterlist.append(base_objects.Interaction({
'id': 6,
'particles': base_objects.ParticleList(\
[antiu, \
u, \
z]),
'color': [],
'lorentz':['L1', 'L2'],
'couplings':{(0, 0):'GUZ1', (0, 1):'GUZ2'},
'orders':{'QED':1}}))
myinterlist.append(base_objects.Interaction({
'id': 7,
'particles': base_objects.ParticleList(\
[antid, \
d, \
z]),
'color': [],
'lorentz':['L1', 'L2'],
'couplings':{(0, 0):'GDZ1', (0, 0):'GDZ2'},
'orders':{'QED':1}}))
mymodel = base_objects.Model()
mymodel.set('particles', mypartlist)
mymodel.set('interactions', myinterlist)
procs = [[2, -2, 21, 21], [2, -2, 2, -2]]
amplitudes = diagram_generation.AmplitudeList()
for proc in procs:
# Define the multiprocess
my_leglist = base_objects.LegList([\
base_objects.Leg({'id': id, 'state': True}) for id in proc])
my_leglist[0].set('state', False)
my_leglist[1].set('state', False)
my_process = base_objects.Process({
'legs': my_leglist,
'model': mymodel
})
my_amplitude = diagram_generation.Amplitude(my_process)
amplitudes.append(my_amplitude)
# Calculate diagrams for all processes
subprocess_group = group_subprocs.SubProcessGroup.\
group_amplitudes(amplitudes, "madevent")[0]
# Test amp2 lines
helas_writer = helas_call_writers.PythonUFOHelasCallWriter(mymodel)
python_exporter = export_python.ProcessExporterPython(
subprocess_group, helas_writer)
amp2_lines = \
python_exporter.get_amp2_lines(subprocess_group.\
get('matrix_elements')[0],
subprocess_group.get('diagram_maps')[0])
self.assertEqual(amp2_lines, [
'self.amp2[0]+=abs(amp[0]*amp[0].conjugate())',
'self.amp2[1]+=abs(amp[1]*amp[1].conjugate())',
'self.amp2[2]+=abs(amp[2]*amp[2].conjugate())'
])
def test_get_python_matrix_methods(self):
"""Test getting the matrix methods for Python for a matrix element."""
goal_method = (\
"""class Matrix_0_uux_uux(object):
def __init__(self):
\"\"\"define the object\"\"\"
self.clean()
def clean(self):
self.jamp = []
def smatrix(self,p, model):
#
# MadGraph5_aMC@NLO v. %(version)s, %(date)s
# By the MadGraph5_aMC@NLO Development Team
# Visit launchpad.net/madgraph5 and amcatnlo.web.cern.ch
#
# MadGraph5_aMC@NLO StandAlone Version
#
# Returns amplitude squared summed/avg over colors
# and helicities
# for the point in phase space P(0:3,NEXTERNAL)
#
# Process: u u~ > u u~
# Process: c c~ > c c~
#
# Clean additional output
#
self.clean()
#
# CONSTANTS
#
nexternal = 4
ndiags = 4
ncomb = 16
#
# LOCAL VARIABLES
#
helicities = [ \\
[-1,-1,-1,-1],
[-1,-1,-1,1],
[-1,-1,1,-1],
[-1,-1,1,1],
[-1,1,-1,-1],
[-1,1,-1,1],
[-1,1,1,-1],
[-1,1,1,1],
[1,-1,-1,-1],
[1,-1,-1,1],
[1,-1,1,-1],
[1,-1,1,1],
[1,1,-1,-1],
[1,1,-1,1],
[1,1,1,-1],
[1,1,1,1]]
denominator = 36
# ----------
# BEGIN CODE
# ----------
self.amp2 = [0.] * ndiags
self.helEvals = []
ans = 0.
for hel in helicities:
t = self.matrix(p, hel, model)
ans = ans + t
self.helEvals.append([hel, t.real / denominator ])
ans = ans / denominator
return ans.real
def matrix(self, p, hel, model):
#
# MadGraph5_aMC@NLO v. %(version)s, %(date)s
# By the MadGraph5_aMC@NLO Development Team
# Visit launchpad.net/madgraph5 and amcatnlo.web.cern.ch
#
# Returns amplitude squared summed/avg over colors
# for the point with external lines W(0:6,NEXTERNAL)
#
# Process: u u~ > u u~
# Process: c c~ > c c~
#
#
# Process parameters
#
ngraphs = 4
nexternal = 4
nwavefuncs = 5
ncolor = 2
ZERO = 0.
#
# Color matrix
#
denom = [1,1];
cf = [[9,3],
[3,9]];
#
# Model parameters
#
WZ = model.get('parameter_dict')["WZ"]
MZ = model.get('parameter_dict')["MZ"]
GC_47 = model.get('coupling_dict')["GC_47"]
GC_35 = model.get('coupling_dict')["GC_35"]
GC_10 = model.get('coupling_dict')["GC_10"]
# ----------
# Begin code
# ----------
amp = [None] * ngraphs
w = [None] * nwavefuncs
w[0] = ixxxxx(p[0],ZERO,hel[0],+1)
w[1] = oxxxxx(p[1],ZERO,hel[1],-1)
w[2] = oxxxxx(p[2],ZERO,hel[2],+1)
w[3] = ixxxxx(p[3],ZERO,hel[3],-1)
w[4]= FFV1_3(w[0],w[1],GC_10,ZERO,ZERO)
# Amplitude(s) for diagram number 1
amp[0]= FFV1_0(w[3],w[2],w[4],GC_10)
w[4]= FFV2_5_3(w[0],w[1],GC_35,GC_47,MZ,WZ)
# Amplitude(s) for diagram number 2
amp[1]= FFV2_5_0(w[3],w[2],w[4],GC_35,GC_47)
w[4]= FFV1_3(w[0],w[2],GC_10,ZERO,ZERO)
# Amplitude(s) for diagram number 3
amp[2]= FFV1_0(w[3],w[1],w[4],GC_10)
w[4]= FFV2_5_3(w[0],w[2],GC_35,GC_47,MZ,WZ)
# Amplitude(s) for diagram number 4
amp[3]= FFV2_5_0(w[3],w[1],w[4],GC_35,GC_47)
jamp = [None] * ncolor
jamp[0] = +1./6.*amp[0]-amp[1]+1./2.*amp[2]
jamp[1] = -1./2.*amp[0]-1./6.*amp[2]+amp[3]
self.amp2[0]+=abs(amp[0]*amp[0].conjugate())
self.amp2[1]+=abs(amp[1]*amp[1].conjugate())
self.amp2[2]+=abs(amp[2]*amp[2].conjugate())
self.amp2[3]+=abs(amp[3]*amp[3].conjugate())
matrix = 0.
for i in range(ncolor):
ztemp = 0
for j in range(ncolor):
ztemp = ztemp + cf[i][j]*jamp[j]
matrix = matrix + ztemp * jamp[i].conjugate()/denom[i]
self.jamp.append(jamp)
return matrix
""" % misc.get_pkg_info()).split('\n')
exporter = export_python.ProcessExporterPython(self.mymatrixelement,
self.mypythonmodel)
matrix_methods = exporter.get_python_matrix_methods()["0_uux_uux"].\
split('\n')
self.assertEqual(matrix_methods, goal_method)