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diff --git a/Models/Feynrules/python/ufo2peg/check_lorentz.py b/Models/Feynrules/python/ufo2peg/check_lorentz.py
--- a/Models/Feynrules/python/ufo2peg/check_lorentz.py
+++ b/Models/Feynrules/python/ufo2peg/check_lorentz.py
@@ -1,864 +1,868 @@
import itertools,cmath,re
from .helpers import SkipThisVertex,extractAntiSymmetricIndices
from .converter import py2cpp
from .lorentzparser import parse_lorentz
import string,re
def compare(a,b) :
num=abs(a-b)
den=abs(a+b)
if(den == 0. and 1e-10) :
return True
return num/den<1e-10
def evaluate(x,model,parmsubs):
import cmath
return eval(x,
{'cmath':cmath,
'complexconjugate':model.function_library.complexconjugate},
parmsubs)
# ordering for EW VVV vertices (ordering not an issue as all same spin)
def VVVordering(vertex) :
pattern = "if((p1->id()==%s&&p2->id()==%s&&p3->id()==%s)"+\
"||(p1->id()==%s&&p2->id()==%s&&p3->id()==%s)||"+\
"(p1->id()==%s&&p2->id()==%s&&p3->id()==%s)) {norm(-norm());}"
ordering = pattern%(vertex.particles[1].pdg_code,
vertex.particles[0].pdg_code,
vertex.particles[2].pdg_code,
vertex.particles[0].pdg_code,
vertex.particles[2].pdg_code,
vertex.particles[1].pdg_code,
vertex.particles[2].pdg_code,
vertex.particles[1].pdg_code,
vertex.particles[0].pdg_code)
return ordering
def tensorCouplings(vertex,value,prefactors,L,lorentztag,pos,all_couplings,order) :
# split the structure into its different terms for analysis
ordering=""
structures = extractStructures(L)
if(lorentztag == 'SST') :
terms=[['P(1003,2)','P(2003,1)'],
['P(1003,1)','P(2003,2)'],
['P(-1,1)','P(-1,2)','Metric(1003,2003)'],
['Metric(1003,2003)']]
signs=[1.,1.,-1.,-1.]
new_couplings=[False]*len(terms)
elif(lorentztag == 'FFT' ) :
terms=[['P(2003,1)','Gamma(1003,2,1)'],
['P(2003,2)','Gamma(1003,2,1)'],
['P(1003,1)','Gamma(2003,2,1)'],
['P(1003,2)','Gamma(2003,2,1)'],
['P(-1,1)','Gamma(-1,2,1)','Metric(1003,2003)'],
['P(-1,2)','Gamma(-1,2,1)','Metric(1003,2003)'],
['Metric(1003,2003)']]
signs=[1.,-1.,1.,-1.,-0.5,0.5,1.]
new_couplings=[False]*3*len(terms)
elif(lorentztag == 'VVT' ) :
terms=[['P(-1,1)','P(-1,2)','Metric(1,2003)','Metric(2,1003)'], # from C term
['P(-1,1)','P(-1,2)','Metric(1,1003)','Metric(2,2003)'], # from C term
['P(-1,1)','P(-1,2)','Metric(1,2)','Metric(1003,2003)'], # from C term
['P(1,2)','P(2,1)','Metric(1003,2003)'], # from D term (sym)
['P(1,2)','P(2003,1)','Metric(2,1003)'], # 1st term
['P(1,2)','P(1003,1)','Metric(2,2003)'], # 1st swap
['P(2,1)','P(2003,2)','Metric(1,1003)'], # 2nd term
['P(2,1)','P(1003,2)','Metric(1,2003)'], # 2nd swap
['P(1003,2)','P(2003,1)','Metric(1,2)'], # 3rd term
['P(1003,1)','P(2003,2)','Metric(1,2)'], # 3rd swap
['Metric(1,2003)','Metric(2,1003)'], # from mass term
['Metric(1,1003)','Metric(2,2003)'], # from mass term
['Metric(1,2)','Metric(1003,2003)'], # from mass term
['P(1,1)','P(2,1)','Metric(1003,2003)'], # gauge terms
['P(1,2)','P(2,2)','Metric(1003,2003)'], # gauge terms
['P(1,1)','P(2,2)','Metric(1003,2003)'], # gauge terms
['P(1003,1)','P(1,1)','Metric(2,2003)'], # gauge terms
['P(1003,2)','P(2,2)','Metric(1,2003)'], # gauge terms
['P(2003,1)','P(1,1)','Metric(2,1003)'], # gauge terms
['P(2003,2)','P(2,2)','Metric(1,1003)'], # gauge terms
]
signs=[1.,1.,-1.,1.,-1.,-1.,-1.,-1.,1.,1.,1.,1.,-1.,1.,1.,0.25,-1.,-1.,-1.,-1.]
new_couplings=[False]*len(terms)
elif(lorentztag == 'FFVT' ) :
terms = [['Gamma(2004,2,1)','Metric(3,1004)'],
['Gamma(1004,2,1)','Metric(3,2004)'],
['Gamma(3,2,1)','Metric(1004,2004)'],
['Gamma(2004,2,-1)','Metric(3,1004)'],
['Gamma(1004,2,-1)','Metric(3,2004)'],
['Gamma(3,2,-1)','Metric(1004,2004)']]
signs=[1.,1.,-0.5,1.,1.,-0.5]
new_couplings=[False]*3*len(terms)
elif(lorentztag == 'VVVT' ) :
# the F(mu nu,rho sigma lambda) terms first
terms = [['P(2004,2)','Metric(1,1004)','Metric(2,3)'],['P(2004,3)','Metric(1,1004)','Metric(2,3)'],
['P(1004,2)','Metric(1,2004)','Metric(2,3)'],['P(1004,3)','Metric(1,2004)','Metric(2,3)'],
['P(2004,3)','Metric(1,3)','Metric(2,1004)'],['P(2004,1)','Metric(1,3)','Metric(2,1004)'],
['P(1004,3)','Metric(1,3)','Metric(2,2004)'],['P(1004,1)','Metric(1,3)','Metric(2,2004)'],
['P(2004,1)','Metric(1,2)','Metric(3,1004)'],['P(2004,2)','Metric(1,2)','Metric(3,1004)'],
['P(1004,1)','Metric(1,2)','Metric(3,2004)'],['P(1004,2)','Metric(1,2)','Metric(3,2004)'],
['P(3,1)','Metric(1,2004)','Metric(2,1004)'],['P(3,2)','Metric(1,2004)','Metric(2,1004)'],
['P(3,1)','Metric(1,1004)','Metric(2,2004)'],['P(3,2)','Metric(1,1004)','Metric(2,2004)'],
['P(3,1)','Metric(1,2)','Metric(1004,2004)'],['P(3,2)','Metric(1,2)','Metric(1004,2004)'],
['P(2,3)','Metric(1,2004)','Metric(3,1004)'],['P(2,1)','Metric(1,2004)','Metric(3,1004)'],
['P(2,3)','Metric(1,1004)','Metric(3,2004)'],['P(2,1)','Metric(1,1004)','Metric(3,2004)'],
['P(2,3)','Metric(1,3)','Metric(1004,2004)'],['P(2,1)','Metric(1,3)','Metric(1004,2004)'],
['P(1,2)','Metric(2,2004)','Metric(3,1004)'],['P(1,3)','Metric(2,2004)','Metric(3,1004)'],
['P(1,2)','Metric(2,1004)','Metric(3,2004)'],['P(1,3)','Metric(2,1004)','Metric(3,2004)'],
['P(1,2)','Metric(2,3)','Metric(1004,2004)'],['P(1,3)','Metric(2,3)','Metric(1004,2004)']]
signs = [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.]
new_couplings=[False]*len(terms)
l = lambda c: len(pos[c])
if l(8)!=3 :
ordering = VVVordering(vertex)
# unknown
else :
raise Exception('Unknown data type "%s".' % lorentztag)
iterm=0
try :
for term in terms:
for perm in itertools.permutations(term):
label = '*'.join(perm)
for istruct in range(0,len(structures)) :
if label in structures[istruct] :
reminder = structures[istruct].replace(label,'1.',1)
loc=iterm
if(reminder.find("ProjM")>=0) :
reminder=re.sub("\*ProjM\(.*,.\)","",reminder)
loc+=len(terms)
elif(reminder.find("ProjP")>=0) :
reminder=re.sub("\*ProjP\(.*,.\)","",reminder)
loc+=2*len(terms)
structures[istruct] = "Done"
val = eval(reminder, {'cmath':cmath} )*signs[iterm]
if(new_couplings[loc]) :
new_couplings[loc] += val
else :
new_couplings[loc] = val
iterm+=1
except :
SkipThisVertex()
# check we've handled all the terms
for val in structures:
if(val!="Done") :
raise SkipThisVertex()
# special for FFVT
if(lorentztag=="FFVT") :
t_couplings=new_couplings
new_couplings=[False]*9
for i in range(0,9) :
j = i+3*(i/3)
k = i+3+3*(i/3)
if( not t_couplings[j]) :
new_couplings[i] = t_couplings[k]
else :
new_couplings[i] = t_couplings[j]
# set the couplings
for icoup in range(0,len(new_couplings)) :
if(new_couplings[icoup]) :
new_couplings[icoup] = '(%s) * (%s) *(%s)' % (new_couplings[icoup],prefactors,value)
if(len(all_couplings)==0) :
all_couplings=new_couplings
else :
for icoup in range(0,len(new_couplings)) :
if(new_couplings[icoup] and all_couplings[icoup]) :
all_couplings[icoup] = '(%s) + (%s) ' % (new_couplings[icoup],all_couplings[icoup])
elif(new_couplings[icoup]) :
all_couplings[icoup] = new_couplings[icoup]
# return the results
return (ordering,all_couplings)
def processTensorCouplings(lorentztag,vertex,model,parmsubs,all_couplings,order) :
# check for fermion vertices (i.e. has L/R couplings)
fermions = "FF" in lorentztag
# test and process the values of the couplings
- tval = [False]*3
- value = [False]*3
+ tval = ["Unknown"]*3
+ value = ["Unknown"]*3
# loop over the colours
for icolor in range(0,len(all_couplings)) :
lmax = len(all_couplings[icolor])
if(fermions) : lmax /=3
# loop over the different terms
for ix in range(0,lmax) :
test = [False]*3
+ imax=3
# normal case
if( not fermions ) :
test[0] = all_couplings[icolor][ix]
+ imax=1
else :
# first case vector but no L/R couplings
if( not all_couplings[icolor][lmax+ix] and
not all_couplings[icolor][2*lmax+ix] ) :
test[0] = all_couplings[icolor][ix]
+ imax=1
# special for mass terms and massless particles
if(not all_couplings[icolor][ix]) :
code = abs(vertex.particles[order[0]-1].pdg_code)
- if(ix==6 and code ==12 or code ==14 or code==16) :
+ if(ix==6 and (code ==12 or code ==14 or code==16) ) :
continue
else :
raise SkipThisVertex()
# second case L/R couplings
elif( not all_couplings[icolor][ix] ) :
# L=R, replace with vector
if(all_couplings[icolor][lmax+ix] ==
all_couplings[icolor][2*lmax+ix]) :
test[0] = all_couplings[icolor][lmax+ix]
else :
test[1] = all_couplings[icolor][lmax+ix]
test[2] = all_couplings[icolor][2*lmax+ix]
else :
raise SkipThisVertex()
# special handling of mass terms
# scalar divide by m**2
if((ix==3 and lorentztag=="SST") or
( ix>=10 and ix<=12 and lorentztag=="VVT" )) :
for i in range(0,len(test)) :
if(test[i]) :
test[i] = '(%s)/%s**2' % (test[i],vertex.particles[order[0]-1].mass.value)
# fermions divide by 4*m
elif(ix==6 and lorentztag=="FFT" and
float(vertex.particles[order[0]-1].mass.value) != 0. ) :
for i in range(0,len(test)) :
if(test[i]) :
test[i] = '-(%s)/%s/4' % (test[i],vertex.particles[order[0]-1].mass.value)
# set values on first pass
- if(not tval[0] and not tval[1] and not tval[2]) :
+ if((tval[0]=="Unknown" and fermions ) or
+ (not fermions and tval[0]=="Unknown" and tval[1]=="Unknown" and tval[2]=="Unknown")) :
value = test
for i in range(0,len(test)) :
if(test[i]) : tval[i] = evaluate(test[i],model,parmsubs)
else :
- for i in range(0,len(test)) :
+ for i in range(0,imax) :
if(not test[i] and not tval[i]) :
continue
- if(not test[i] or not tval[i]) :
+ # special for vector gauge terms
+ if(lorentztag=="VVT" and ix>=13) :
+ continue
+ if(not test[i] or tval[i]=="Unknown") :
# special for mass terms and vectors
if(lorentztag=="VVT" and ix >=10 and ix <=12 and
float(vertex.particles[order[0]-1].mass.value) == 0. ) :
continue
- # special for vector gauge terms
- if(lorentztag=="VVT" and ix>=13) :
- continue
raise SkipThisVertex()
tval2 = evaluate(test[i],model,parmsubs)
if(abs(tval[i]-tval2)>1e-6) :
# special for fermion mass term if fermions massless
if(lorentztag=="FFT" and ix ==6 and tval2 == 0. and
float(vertex.particles[order[0]-1].mass.value) == 0. ) :
continue
raise SkipThisVertex()
# simple clean up
for i in range(0,len(value)):
if(value[i]) :
value[i] = value[i].replace("(1.0) * ","").replace(" * (1)","")
# put everything together
coup_left = 0.
coup_right = 0.
coup_norm = 0.
if(lorentztag == "SST" or lorentztag == "VVT" or
lorentztag == "VVVT" or lorentztag == "FFT" ) :
coup_norm = value[0]
if(value[1] or value[2]) :
raise SkipThisVertex()
elif(lorentztag=="FFVT") :
if(not value[1] and not value[2]) :
coup_norm = value[0]
coup_left = "1."
coup_right = "1."
elif(not value[0]) :
coup_norm = "1."
if(value[1] and value[2]) :
coup_left = value[1]
coup_right = value[2]
elif(value[1]) :
coup_left = value[1]
coup_right = "0."
elif(value[2]) :
coup_left = "0."
coup_right = value[2]
else :
raise SkipThisVertex()
else :
raise SkipThisVertex()
else :
raise SkipThisVertex()
# return the answer
return (coup_left,coup_right,coup_norm)
def extractStructures(L) :
structure1 = L.structure.split()
structures =[]
sign=''
for struct in structure1 :
if(struct=='+') :
continue
elif(struct=='-') :
sign='-'
else :
structures.append(sign+struct.strip())
sign=''
return structures
def changeSign(sign1,sign2) :
if((sign1=="+" and sign2=="+") or\
(sign1=="-" and sign2=="-")) :
return "+"
else :
return "-"
def epsilonOrder(eps) :
terms,sign = extractAntiSymmetricIndices(eps,"Epsilon(")
return (sign,"Epsilon(%s,%s,%s,%s)" % (terms[0],terms[1],terms[2],terms[3]))
def VVSEpsilon(couplings,struct) :
if(struct.find("Epsilon")<0) :
return
fact=""
sign="+"
if(struct[-1]==")") :
fact=struct.split("(")[0]
if(fact.find("Epsilon")>=0) :
fact=""
else :
struct=struct.split("(",1)[1][:-1]
if(fact[0]=="-") :
sign="-"
fact=fact[1:]
split = struct.split("*")
# find the epsilon
eps=""
for piece in split :
if(piece.find("Epsilon")>=0) :
eps=piece
split.remove(piece)
break
# and any prefactors
for piece in split :
if(piece.find("P(")<0) :
split.remove(piece)
if(piece[0]=="+" or piece[0]=="-") :
sign=changeSign(sign,piece[0])
piece=piece[1:]
if(fact=="") :
fact=piece
else :
fact = "( %s ) * ( %s )" % (fact , piece)
# now sort out the momenta
for piece in split :
terms=piece.split(",")
terms[0]=terms[0].strip("P(")
terms[1]=terms[1].strip(")")
eps=eps.replace(terms[0],"P%s"%terms[1])
(nsign,eps)=epsilonOrder(eps)
if(nsign>0) : sign=changeSign(sign,"-")
if(fact=="") : fact="1."
if(eps!="Epsilon(1,2,P1,P2)") :
return
if(couplings[6]==0.) :
couplings[6] = "( %s%s )" % (sign,fact)
else :
couplings[6] = "( %s ) + ( %s%s )" % (couplings[6],sign,fact)
def scalarVectorCouplings(value,prefactors,L,lorentztag,all_couplings,order) :
# set up the types of term we are looking for
if(lorentztag=="VVS") :
couplings=[0.,0.,0.,0.,0.,0.,0.]
terms=[['P(-1,%s)' % order[0],
'P(-1,%s)' % order[1],
'Metric(%s,%s)' %(order[0],order[1])],
['P(1,%s)' % order[0],
'P(2,%s)' % order[0]],
['P(1,%s)' % order[0],
'P(2,%s)' % order[1]],
['P(1,%s)' % order[1],
'P(2,%s)' % order[0]],
['P(1,%s)' % order[1],
'P(2,%s)' % order[1]],
['Metric(%s,%s)'%(order[0],order[1])]]
elif(lorentztag=="VVSS") :
couplings=[0.]
terms=[['Metric(%s,%s)' % (order[0],order[1])]]
elif(lorentztag=="VSS"):
couplings=[0.,0.]
terms=[['P(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[0],order[1])]]
# extract the lorentz structures
structures = extractStructures(L)
# handle the scalar couplings
itype=-1
try :
for term in terms:
itype+=1
for perm in itertools.permutations(term):
label = '*'.join(perm)
for istruct in range(0,len(structures)) :
if label in structures[istruct] :
reminder = structures[istruct].replace(label,'1.',1)
couplings[itype]+=eval(reminder, {'cmath':cmath} )
structures[istruct]='Done'
except :
raise SkipThisVertex()
# special for VVS and epsilon
# handle the pseudoscalar couplings
for struct in structures :
if(struct != "Done" ) :
if(lorentztag=="VVS") :
VVSEpsilon(couplings,struct)
else :
raise SkipThisVertex()
# put it all together
if(len(all_couplings)==0) :
for ic in range(0,len(couplings)) :
if(couplings[ic]!=0.) :
all_couplings.append('(%s) * (%s) * (%s)' % (prefactors,value,couplings[ic]))
else :
all_couplings.append(False)
else :
for ic in range(0,len(couplings)) :
if(couplings[ic]!=0. and all_couplings[ic]) :
all_couplings[ic] = '(%s) * (%s) * (%s) + (%s) ' % (prefactors,value,
couplings[ic],all_couplings[ic])
elif(couplings[ic]!=0) :
all_couplings[ic] = '(%s) * (%s) * (%s) ' % (prefactors,value,couplings[ic])
return all_couplings
def processScalarVectorCouplings(lorentztag,vertex,model,parmsubs,all_couplings,header,order) :
# check the values
tval = [False]*len(all_couplings[0])
value =[False]*len(all_couplings[0])
for icolor in range(0,len(all_couplings)) :
for ix in range(0,len(all_couplings[icolor])) :
if(not value[ix]) :
value[ix] = all_couplings[icolor][ix]
if(value[ix] and not tval[ix]) :
tval[ix] = evaluate(value[ix],model,parmsubs)
elif(value[ix]) :
tval2 = evaluate(all_couplings[icolor][0],model,parmsubs)
if(abs(tval[ix]-tval2)>1e-6) :
raise SkipThisVertex()
append = ""
symbols = set()
coup_norm=0.
if(lorentztag=="VVS") :
if(not value[0] and not value[1] and not value[2] and \
not value[3] and not value[4] and not value[6] and value[5]) :
coup_norm=value[5]
else :
for ix in range(0,len(value)) :
if(value[ix]) :
value[ix], sym = py2cpp(value[ix])
symbols |= sym
else :
value[ix]=0.
lorentztag = 'GeneralVVS'
header="kinematics(true);"
# g_mu,nv piece of coupling
if(value[5]!=0.) :
append +='a00( %s + Complex(( %s )* GeV2/invariant(1,2)));\n' % ( value[0],value[5])
else :
append +='a00( %s );\n' % value[0]
# other couplings
append += 'a11( %s );\n a12( %s );\n a21( %s );\n a22( %s );\n aEp( %s );\n' % \
( value[1],value[2],value[3],value[4],value[6] )
coup_norm="1."
elif(lorentztag=="VVSS") :
coup_norm = value[0]
elif(lorentztag=="VSS") :
if(abs(tval[0]+tval[1])>1e-6) :
for ix in range(0,len(value)) :
if(value[ix]) :
value[ix], sym = py2cpp(value[ix])
symbols |= sym
else :
value[ix]=0.
coup_norm = "1."
append = 'if(p2->id()==%s) { a( %s ); b( %s);}\n else { a( %s ); b( %s);}' \
% (vertex.particles[order[1]-1].pdg_code,
value[0],value[1],value[1],value[0])
else :
coup_norm = value[1]
append = 'if(p2->id()!=%s){norm(-norm());}' \
% vertex.particles[order[1]-1].pdg_code
# return the answer
return (coup_norm,append,lorentztag,header,symbols)
def getIndices(term) :
if(term[0:2]=="P(") :
indices = term.strip(")").strip("P(").split(",")
mom = int(indices[1])
index = int(indices[0])
return (True,mom,index)
else :
return (False,0,0)
def lorentzScalar(vertex,L) :
dotProduct = """(invariant( i[{i1}], i[{i2}] )/GeV2)"""
structures=L.structure.split()
output="("
for struct in structures:
if(struct=="+" or struct=="-") :
output+=struct
continue
structure = struct.split("*")
worked = False
mom=-1
newTerm=""
while True :
term = structure[-1]
structure.pop()
(momentum,mom,index) = getIndices(term)
if( not momentum) : break
# look for the matching momenta
for term in structure :
(momentum,mom2,index2) = getIndices(term)
if(index2==index) :
structure.remove(term)
dot = dotProduct.format(i1=mom-1,i2=mom2-1)
if(newTerm=="") :
newTerm = dot
else :
newTerm = " ( %s) * ( %s ) " % (newTerm,dot)
if(len(structure)==0) :
worked = True
break
if(not worked) :
return False
else :
output+=newTerm
output+=")"
return output
kinematicsline = """\
long id [3]={{{id1},{id2},{id3}}};
long id2[3]={{p1->id(),p2->id(),p3->id()}};
unsigned int i[3];
for(unsigned int ix=0;ix<3;++ix) {{
for(unsigned int iy=0;iy<3;++iy) {{
if(id[ix]==id2[iy]) {{
i[ix] = iy;
id2[iy]=0;
break;
}}
}}
}}
double hw_kine1 = {kine};
"""
kinematicsline2 = """\
long id [4]={{{id1},{id2},{id3},{id4}}};
long id2[4]={{p1->id(),p2->id(),p3->id(),p4->id()}};
unsigned int i[4];
for(unsigned int ix=0;ix<4;++ix) {{
for(unsigned int iy=0;iy<4;++iy) {{
if(id[ix]==id2[iy]) {{
i[ix] = iy;
id2[iy]=0;
break;
}}
}}
}}
double hw_kine1 = {kine};
"""
kinematicsline3 ="""\
double hw_kine{i} = {kine};
"""
def scalarCouplings(vertex,value,prefactors,L,lorentztag,
all_couplings,prepend,header) :
try :
val = int(L.structure)
except :
output = lorentzScalar(vertex,L)
if( not output ) :
raise SkipThisVertex()
else :
if(prepend=="") :
if(lorentztag=="SSS") :
# order doesn't matter here, all same spin
prepend = kinematicsline.format(id1=vertex.particles[0].pdg_code,
id2=vertex.particles[1].pdg_code,
id3=vertex.particles[2].pdg_code,
kine=output)
else :
# order doesn't matter here, all same spin
prepend = kinematicsline2.format(id1=vertex.particles[0].pdg_code,
id2=vertex.particles[1].pdg_code,
id3=vertex.particles[2].pdg_code,
id4=vertex.particles[3].pdg_code,
kine=output)
value = "(%s) *(hw_kine1)" % value
else :
osplit=prepend.split("\n")
i=-1
while osplit[i]=="":
i=i-1
ikin=int(osplit[i].split("=")[0].replace("double hw_kine",""))+1
prepend +=kinematicsline3.format(kine=output,i=ikin)
value = "(%s) *(hw_kine%s)" % (value,ikin)
header="kinematics(true);"
if(len(all_couplings)==0) :
all_couplings.append('(%s) * (%s)' % (prefactors,value))
else :
all_couplings[0] = '(%s) * (%s) + (%s)' % (prefactors,value,all_couplings[0])
return (prepend, header,all_couplings)
def processScalarCouplings(model,parmsubs,all_couplings) :
tval = False
value = False
for icolor in range(0,len(all_couplings)) :
if(len(all_couplings[icolor])!=1) :
raise SkipThisVertex()
if(not value) :
value = all_couplings[icolor][0]
m = re.findall('hw_kine[0-9]*', all_couplings[icolor][0])
if m:
for kine in m:
# bizarre number for checks, must be a better option
parmsubs[kine] = 987654321.
if(not tval) :
tval = evaluate(value,model,parmsubs)
else :
tval2 = evaluate(all_couplings[icolor][0],model,parmsubs)
if(abs(tval[i]-tval2)>1e-6) :
raise SkipThisVertex()
# cleanup and return the answer
return value.replace("(1.0) * ","").replace(" * (1)","")
def vectorCouplings(vertex,value,prefactors,L,lorentztag,pos,
all_couplings,append,qcd,order) :
structures=extractStructures(L)
terms=[]
signs=[]
if(lorentztag=="VVV") :
terms=[['P(%s,%s)' % (order[2],order[0]),'Metric(%s,%s)' % (order[0],order[1])],
['P(%s,%s)' % (order[2],order[1]),'Metric(%s,%s)' % (order[0],order[1])],
['P(%s,%s)' % (order[1],order[0]),'Metric(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[1],order[2]),'Metric(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[0],order[1]),'Metric(%s,%s)' % (order[1],order[2])],
['P(%s,%s)' % (order[0],order[2]),'Metric(%s,%s)' % (order[1],order[2])]]
signs=[1.,-1.,-1.,1.,1.,-1.]
elif(lorentztag=="VVVV") :
terms=[['Metric(%s,%s)' % (order[0],order[3]),'Metric(%s,%s)' % (order[1],order[2])],
['Metric(%s,%s)' % (order[0],order[2]),'Metric(%s,%s)' % (order[1],order[3])],
['Metric(%s,%s)' % (order[0],order[1]),'Metric(%s,%s)' % (order[2],order[3])]]
signs=[1.,1.,1.]
elif(lorentztag=="VVVS") :
terms=[['P(%s,%s)' % (order[2],order[0]),'Metric(%s,%s)' % (order[0],order[1])],
['P(%s,%s)' % (order[2],order[1]),'Metric(%s,%s)' % (order[0],order[1])],
['P(%s,%s)' % (order[1],order[0]),'Metric(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[1],order[2]),'Metric(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[0],order[1]),'Metric(%s,%s)' % (order[1],order[2])],
['P(%s,%s)' % (order[0],order[2]),'Metric(%s,%s)' % (order[1],order[2])],
['Epsilon(1,2,3,-1)','P(-1,1)'],['Epsilon(1,2,3,-1)','P(-1,2)'],
['Epsilon(1,2,3,-1)','P(-1,3)']]
signs=[1.,-1.,-1.,1.,1.,-1.,1.,1.,1.]
# extract the couplings
new_couplings = [False]*len(terms)
iterm=0
try :
for term in terms:
for perm in itertools.permutations(term):
label = '*'.join(perm)
for istruct in range(0,len(structures)) :
if label in structures[istruct] :
reminder = structures[istruct].replace(label,'1.',1)
structures[istruct] = "Done"
val = eval(reminder, {'cmath':cmath} )*signs[iterm]
if(new_couplings[iterm]) :
new_couplings[iterm] += val
else :
new_couplings[iterm] = val
iterm += 1
except :
raise SkipThisVertex()
# check we've handled all the terms
for val in structures:
if(val!="Done") :
raise SkipThisVertex()
# set the couplings
for icoup in range(0,len(new_couplings)) :
if(new_couplings[icoup]) :
new_couplings[icoup] = '(%s) * (%s) *(%s)' % (new_couplings[icoup],prefactors,value)
if(len(all_couplings)==0) :
all_couplings=new_couplings
else :
for icoup in range(0,len(new_couplings)) :
if(new_couplings[icoup] and all_couplings[icoup]) :
all_couplings[icoup] = '(%s) * (%s) *(%s) + (%s) ' % (new_couplings[icoup],prefactors,value,all_couplings[icoup])
elif(new_couplings[icoup]) :
all_couplings[icoup] = new_couplings[icoup]
# ordering for VVV type vertices
if(len(pos[8]) != 3 and (lorentztag=="VVV" or lorentztag=="VVVS")) :
append = VVVordering(vertex)
return all_couplings,append
def processVectorCouplings(lorentztag,vertex,model,parmsubs,all_couplings,append,header) :
value = False
tval = False
if(lorentztag=="VVV") :
for icolor in range(0,len(all_couplings)) :
# loop over the different terms
for ix in range(0,len(all_couplings[icolor])) :
if(not value) :
value = all_couplings[icolor][ix]
tval = evaluate(value,model,parmsubs)
else :
tval2 = evaluate(all_couplings[icolor][ix],model,parmsubs)
if(abs(tval-tval2)>1e-6) :
raise SkipThisVertex()
elif(lorentztag=="VVVV") :
order=[]
colours = vertex.color
if(len(colours)==1) :
tval=[]
for i in range(0,3) :
tval.append(evaluate(all_couplings[0][i],model,parmsubs))
if(compare(tval[2],-2.*tval[1]) and
compare(tval[2],-2.*tval[0]) ) :
order=[0,1,2,3]
value = "0.5*(%s)" % all_couplings[0][2]
elif(compare(tval[1],-2.*tval[2]) and
compare(tval[1],-2.*tval[0]) ) :
order=[0,2,1,3]
value = "0.5*(%s)" % all_couplings[0][1]
elif(compare(tval[0],-2.*tval[2]) and
compare(tval[0],-2.*tval[1]) ) :
order=[0,3,1,2]
value = "0.5*(%s)" % all_couplings[0][0]
else:
raise SkipThisVertex()
pattern = \
"bool done[4]={false,false,false,false};\n" + \
" tcPDPtr part[4]={p1,p2,p3,p4};\n" + \
" unsigned int iorder[4]={0,0,0,0};\n" + \
" for(unsigned int ix=0;ix<4;++ix) {\n" + \
" if(!done[0] && part[ix]->id()==%s) {done[0]=true; iorder[%s] = ix; continue;}\n" + \
" if(!done[1] && part[ix]->id()==%s) {done[1]=true; iorder[%s] = ix; continue;}\n" + \
" if(!done[2] && part[ix]->id()==%s) {done[2]=true; iorder[%s] = ix; continue;}\n" + \
" if(!done[3] && part[ix]->id()==%s) {done[3]=true; iorder[%s] = ix; continue;}\n" + \
" }\n" + \
" setType(2);\n" + \
" setOrder(iorder[0],iorder[1],iorder[2],iorder[3]);"
# order doesn't matter here same spin
append = pattern % ( vertex.particles[0].pdg_code,order[0],
vertex.particles[1].pdg_code,order[1],
vertex.particles[2].pdg_code,order[2],
vertex.particles[3].pdg_code,order[3] )
else :
for icolor in range(0,len(all_couplings)) :
col=colours[icolor].split("*")
if(len(col)==2 and "f(" in col[0] and "f(" in col[1]) :
sign = 1
for i in range(0,2) :
col[i],stemp = extractAntiSymmetricIndices(col[i],"f(")
for ix in range(0,len(col[i])): col[i][ix]=int(col[i][ix])
sign *=stemp
if(col[0][0]>col[1][0]) : col[0],col[1] = col[1],col[0]
# first flow
if(col[0][0]==1 and col[0][1]==2 and col[1][0] ==3 and col[1][1] == 4) :
if(all_couplings[icolor][2] or not all_couplings[icolor][0] or
not all_couplings[icolor][1]) :
raise SkipThisVertex()
if(not value) :
value = all_couplings[icolor][1]
tval = evaluate(value,model,parmsubs)
tval2 = -evaluate(all_couplings[icolor][0],model,parmsubs)
tval3 = evaluate(all_couplings[icolor][1],model,parmsubs)
elif(col[0][0]==1 and col[0][1]==3 and col[1][0] ==2 and col[1][1] == 4) :
if(all_couplings[icolor][1] or not all_couplings[icolor][0] or
not all_couplings[icolor][2]) :
raise SkipThisVertex()
if(not value) :
value = all_couplings[icolor][2]
tval = evaluate(value,model,parmsubs)
tval2 = -evaluate(all_couplings[icolor][0],model,parmsubs)
tval3 = evaluate(all_couplings[icolor][2],model,parmsubs)
elif(col[0][0]==1 and col[0][1]==4 and col[1][0] ==2 and col[1][1] == 3) :
if(all_couplings[icolor][0] or not all_couplings[icolor][1] or
not all_couplings[icolor][2]) :
raise SkipThisVertex()
if(not value) :
value = all_couplings[icolor][2]
tval = evaluate(value,model,parmsubs)
tval2 = -evaluate(all_couplings[icolor][1],model,parmsubs)
tval3 = evaluate(all_couplings[icolor][2],model,parmsubs)
else :
raise SkipThisVertex()
if(abs(tval-tval2)>1e-6 or abs(tval-tval3)>1e-6 ) :
raise SkipThisVertex()
append = 'setType(1);\nsetOrder(0,1,2,3);'
else :
print 'unknown colour structure for VVVV vertex'
raise SkipThisVertex()
elif(lorentztag=="VVVS") :
try :
# two distinct cases 0-5 = , 6-8=
if(all_couplings[0][0]) :
imin=0
imax=6
header="scalar(true);"
else :
imin=6
imax=9
header="scalar(false);"
for icolor in range(0,len(all_couplings)) :
# loop over the different terms
for ix in range(imin,imax) :
if(not value) :
value = all_couplings[icolor][ix]
tval = evaluate(value,model,parmsubs)
else :
tval2 = evaluate(value,model,parmsubs)
if(abs(tval-tval2)>1e-6) :
raise SkipThisVertex()
except :
SkipThisVertex()
# cleanup and return the answer
value = value.replace("(1.0) * ","").replace(" * (1)","")
return (value,append,header)
def fermionCouplings(value,prefactors,L,all_couplings,order) :
new_couplings=[False,False]
try :
new_couplings[0],new_couplings[1] = parse_lorentz(L.structure)
except :
raise SkipThisVertex()
for i in range(0,2) :
if new_couplings[i]:
new_couplings[i] = '(%s) * (%s) * (%s)' % (prefactors,new_couplings[i],value)
if(len(all_couplings)==0) :
all_couplings=new_couplings
else :
for i in range(0,len(new_couplings)) :
if(new_couplings[i] and all_couplings[i]) :
all_couplings[i] = '(%s) + (%s) ' % (new_couplings[i],all_couplings[i])
elif(new_couplings[i]) :
all_couplings[i] = new_couplings[i]
return all_couplings
def processFermionCouplings(lorentztag,vertex,model,parmsubs,all_couplings,order) :
leftcontent = all_couplings[0][0] if all_couplings[0][0] else "0."
rightcontent = all_couplings[0][1] if all_couplings[0][1] else "0."
tval=[evaluate( leftcontent,model,parmsubs),
evaluate(rightcontent,model,parmsubs)]
for icolor in range(0,len(all_couplings)) :
# loop over the different terms
for ix in range(0,len(all_couplings[icolor])) :
tval2 = evaluate(all_couplings[icolor][ix],model,parmsubs) if all_couplings[icolor][ix] else 0.
if(abs(tval[ix]-tval2)>1e-6) :
raise SkipThisVertex()
normcontent = "1."
append=""
if lorentztag == 'FFV':
append = ('if(p1->id()!=%s) {Complex ltemp=left(), rtemp=right(); left(-rtemp); right(-ltemp);}'
% vertex.particles[order[0]-1].pdg_code)
return normcontent,leftcontent,rightcontent,append
def RSCouplings(value,prefactors,L,all_couplings,order) :
raise SkipThisVertex()

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