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* Eget.F
* retrieve the five-point tensor coefficients
* this file is part of LoopTools
* written by M. Rauch
* last modified 24 Aug 09 th
#include "defs.h"
integer function XEget(p1, p2, p3, p4, p5,
& p1p2, p2p3, p3p4, p4p5, p5p1, m1, m2, m3, m4, m5)
implicit none
DVAR p1, p2, p3, p4, p5
DVAR p1p2, p2p3, p3p4, p4p5, p5p1
DVAR m1, m2, m3, m4, m5
#include "lt.h"
integer cachelookup
external cachelookup, XEcoeff
DVAR para(Pee)
para(1) = p1
para(2) = p2
para(3) = p3
para(4) = p4
para(5) = p5
para(6) = p1p2
para(7) = p2p3
para(8) = p3p4
para(9) = p4p5
para(10) = p5p1
para(11) = m1
if( abs(para(11)) .lt. minmass ) para(11) = 0
para(12) = m2
if( abs(para(12)) .lt. minmass ) para(12) = 0
para(13) = m3
if( abs(para(13)) .lt. minmass ) para(13) = 0
para(14) = m4
if( abs(para(14)) .lt. minmass ) para(14) = 0
para(15) = m5
if( abs(para(15)) .lt. minmass ) para(15) = 0
XEget = cachelookup(para, Eval(1,0), XEcoeff, RC*Pee, Nee)
end
************************************************************************
double complex function XE0i(i, p1, p2, p3, p4, p5,
& p1p2, p2p3, p3p4, p4p5, p5p1, m1, m2, m3, m4, m5)
implicit none
integer i
DVAR p1, p2, p3, p4, p5
DVAR p1p2, p2p3, p3p4, p4p5, p5p1
DVAR m1, m2, m3, m4, m5
#include "lt.h"
integer XEget
external XEget
integer b
b = XEget(p1, p2, p3, p4, p5,
& p1p2, p2p3, p3p4, p4p5, p5p1, m1, m2, m3, m4, m5)
XE0i = Eval(i,b)
end
************************************************************************
subroutine XEcoeff(para, E, ldpara)
implicit none
integer ldpara
DVAR para(ldpara,Pee)
double complex E(Nee)
#include "lt.h"
double complex Ecmp(Nee)
#ifdef COMPLEXPARA
goto (1, 2, 3) ibits(versionkey, KeyEgetC, 2)
#else
goto (1, 2, 3) ibits(versionkey, KeyEget, 2)
#endif
call XEcoeffa(para, E, ldpara)
return
1 call XEcoeffb(para, E, ldpara)
return
2 call XEcheck(para, E, Ecmp, ldpara)
return
3 call XEcheck(para, Ecmp, E, ldpara)
end
************************************************************************
subroutine XEcheck(para, Ea, Eb, ldpara)
implicit none
integer ldpara
DVAR para(ldpara,Pee)
double complex Ea(Nee), Eb(Nee)
#include "lt.h"
double complex dE(Nee)
integer i
logical ini
QVAR Ginv(4,4)
common /XInvGramE/ Ginv
character*8 coeffname(Nee,2:5)
common /ltcoeffnames/ coeffname
call XEcoeffa(para, Ea, ldpara)
call XEcoeffb(para, Eb, ldpara)
dE(ee0) = 0
dE(ee1) = 0
dE(ee2) = 0
dE(ee3) = 0
dE(ee4) = 0
dE(ee11) = -2*Ea(ee00)*Ginv(1,1)
dE(ee12) = -2*Ea(ee00)*Ginv(1,2)
dE(ee13) = -2*Ea(ee00)*Ginv(1,3)
dE(ee14) = -2*Ea(ee00)*Ginv(1,4)
dE(ee22) = -2*Ea(ee00)*Ginv(2,2)
dE(ee23) = -2*Ea(ee00)*Ginv(2,3)
dE(ee24) = -2*Ea(ee00)*Ginv(2,4)
dE(ee33) = -2*Ea(ee00)*Ginv(3,3)
dE(ee34) = -2*Ea(ee00)*Ginv(3,4)
dE(ee44) = -2*Ea(ee00)*Ginv(4,4)
dE(ee00) = Ea(ee00)
dE(ee111) = -6*Ea(ee001)*Ginv(1,1)
dE(ee112) = -2*(Ea(ee002)*Ginv(1,1) +
& Ea(ee001)*(Ginv(1,2) + Ginv(2,1)))
dE(ee113) = -2*(Ea(ee003)*Ginv(1,1) +
& Ea(ee001)*(Ginv(1,3) + Ginv(3,1)))
dE(ee114) = -2*(Ea(ee004)*Ginv(1,1) +
& Ea(ee001)*(Ginv(1,4) + Ginv(4,1)))
dE(ee122) = -2*(Ea(ee002)*(Ginv(1,2) + Ginv(2,1)) +
& Ea(ee001)*Ginv(2,2))
dE(ee123) = -2*(Ea(ee003)*Ginv(1,2) + Ea(ee001)*Ginv(2,3) +
& Ea(ee002)*Ginv(3,1))
dE(ee124) = -2*(Ea(ee004)*Ginv(1,2) + Ea(ee001)*Ginv(2,4) +
& Ea(ee002)*Ginv(4,1))
dE(ee133) = -2*(Ea(ee003)*(Ginv(1,3) + Ginv(3,1)) +
& Ea(ee001)*Ginv(3,3))
dE(ee134) = -2*(Ea(ee004)*Ginv(1,3) + Ea(ee001)*Ginv(3,4) +
& Ea(ee003)*Ginv(4,1))
dE(ee144) = -2*(Ea(ee004)*(Ginv(1,4) + Ginv(4,1)) +
& Ea(ee001)*Ginv(4,4))
dE(ee222) = -6*Ea(ee002)*Ginv(2,2)
dE(ee223) = -2*(Ea(ee003)*Ginv(2,2) +
& Ea(ee002)*(Ginv(2,3) + Ginv(3,2)))
dE(ee224) = -2*(Ea(ee004)*Ginv(2,2) +
& Ea(ee002)*(Ginv(2,4) + Ginv(4,2)))
dE(ee233) = -2*(Ea(ee003)*(Ginv(2,3) + Ginv(3,2)) +
& Ea(ee002)*Ginv(3,3))
dE(ee234) = -2*(Ea(ee004)*Ginv(2,3) + Ea(ee002)*Ginv(3,4) +
& Ea(ee003)*Ginv(4,2))
dE(ee244) = -2*(Ea(ee004)*(Ginv(2,4) + Ginv(4,2)) +
& Ea(ee002)*Ginv(4,4))
dE(ee333) = -6*Ea(ee003)*Ginv(3,3)
dE(ee334) = -2*(Ea(ee004)*Ginv(3,3) +
& Ea(ee003)*(Ginv(3,4) + Ginv(4,3)))
dE(ee344) = -2*(Ea(ee004)*(Ginv(3,4) + Ginv(4,3)) +
& Ea(ee003)*Ginv(4,4))
dE(ee444) = -6*Ea(ee004)*Ginv(4,4)
dE(ee001) = Ea(ee001)
dE(ee002) = Ea(ee002)
dE(ee003) = Ea(ee003)
dE(ee004) = Ea(ee004)
dE(ee1111) = -12*Ginv(1,1)*(Ea(ee0011) + Ea(ee0000)*Ginv(1,1))
dE(ee1112) = -6*(Ea(ee0012)*Ginv(1,1) +
& (Ea(ee0011) + 2*Ea(ee0000)*Ginv(1,1))*Ginv(1,2))
dE(ee1113) = -6*(Ea(ee0013)*Ginv(1,1) +
& (Ea(ee0011) + 2*Ea(ee0000)*Ginv(1,1))*Ginv(1,3))
dE(ee1114) = -6*(Ea(ee0014)*Ginv(1,1) +
& (Ea(ee0011) + 2*Ea(ee0000)*Ginv(1,1))*Ginv(1,4))
dE(ee1122) = -2*(Ea(ee0022)*Ginv(1,1) +
& 4*Ginv(1,2)*(Ea(ee0012) + Ea(ee0000)*Ginv(1,2)) +
& (Ea(ee0011) + 2*Ea(ee0000)*Ginv(1,1))*Ginv(2,2))
dE(ee1123) = -2*(Ea(ee0023)*Ginv(1,1) +
& 2*Ea(ee0013)*Ginv(1,2) +
& 2*(Ea(ee0012) + 2*Ea(ee0000)*Ginv(1,2))*Ginv(1,3) +
& (Ea(ee0011) + 2*Ea(ee0000)*Ginv(1,1))*Ginv(2,3))
dE(ee1124) = -2*(Ea(ee0024)*Ginv(1,1) +
& 2*Ea(ee0014)*Ginv(1,2) +
& 2*(Ea(ee0012) + 2*Ea(ee0000)*Ginv(1,2))*Ginv(1,4) +
& (Ea(ee0011) + 2*Ea(ee0000)*Ginv(1,1))*Ginv(2,4))
dE(ee1133) = -2*(Ea(ee0033)*Ginv(1,1) +
& 4*Ginv(1,3)*(Ea(ee0013) + Ea(ee0000)*Ginv(1,3)) +
& (Ea(ee0011) + 2*Ea(ee0000)*Ginv(1,1))*Ginv(3,3))
dE(ee1134) = -2*(Ea(ee0034)*Ginv(1,1) +
& 2*Ea(ee0014)*Ginv(1,3) +
& 2*(Ea(ee0013) + 2*Ea(ee0000)*Ginv(1,3))*Ginv(1,4) +
& (Ea(ee0011) + 2*Ea(ee0000)*Ginv(1,1))*Ginv(3,4))
dE(ee1144) = -2*(Ea(ee0044)*Ginv(1,1) +
& 4*Ginv(1,4)*(Ea(ee0014) + Ea(ee0000)*Ginv(1,4)) +
& (Ea(ee0011) + 2*Ea(ee0000)*Ginv(1,1))*Ginv(4,4))
dE(ee1222) = -6*(Ea(ee0022)*Ginv(1,2) +
& (Ea(ee0012) + 2*Ea(ee0000)*Ginv(1,2))*Ginv(2,2))
dE(ee1223) = -2*(2*Ea(ee0023)*Ginv(1,2) +
& Ea(ee0022)*Ginv(1,3) +
& (Ea(ee0013) + 2*Ea(ee0000)*Ginv(1,3))*Ginv(2,2) +
& 2*(Ea(ee0012) + 2*Ea(ee0000)*Ginv(1,2))*Ginv(2,3))
dE(ee1224) = -2*(2*Ea(ee0024)*Ginv(1,2) +
& Ea(ee0022)*Ginv(1,4) +
& (Ea(ee0014) + 2*Ea(ee0000)*Ginv(1,4))*Ginv(2,2) +
& 2*(Ea(ee0012) + 2*Ea(ee0000)*Ginv(1,2))*Ginv(2,4))
dE(ee1233) = -2*(Ea(ee0033)*Ginv(1,2) +
& 2*Ea(ee0023)*Ginv(1,3) +
& 2*(Ea(ee0013) + 2*Ea(ee0000)*Ginv(1,3))*Ginv(2,3) +
& (Ea(ee0012) + 2*Ea(ee0000)*Ginv(1,2))*Ginv(3,3))
dE(ee1234) = -2*(Ea(ee0023)*Ginv(1,4) +
& (Ea(ee0014) + 2*Ea(ee0000)*Ginv(1,4))*Ginv(2,3) +
& Ea(ee0013)*Ginv(2,4) +
& Ginv(1,3)*(Ea(ee0024) + 2*Ea(ee0000)*Ginv(2,4)) +
& Ea(ee0012)*Ginv(3,4) +
& Ginv(1,2)*(Ea(ee0034) + 2*Ea(ee0000)*Ginv(3,4)))
dE(ee1244) = -2*(Ea(ee0044)*Ginv(1,2) +
& 2*Ea(ee0024)*Ginv(1,4) +
& 2*(Ea(ee0014) + 2*Ea(ee0000)*Ginv(1,4))*Ginv(2,4) +
& (Ea(ee0012) + 2*Ea(ee0000)*Ginv(1,2))*Ginv(4,4))
dE(ee1333) = -6*(Ea(ee0033)*Ginv(1,3) +
& (Ea(ee0013) + 2*Ea(ee0000)*Ginv(1,3))*Ginv(3,3))
dE(ee1334) = -2*(2*Ea(ee0034)*Ginv(1,3) +
& Ea(ee0033)*Ginv(1,4) +
& (Ea(ee0014) + 2*Ea(ee0000)*Ginv(1,4))*Ginv(3,3) +
& 2*(Ea(ee0013) + 2*Ea(ee0000)*Ginv(1,3))*Ginv(3,4))
dE(ee1344) = -2*(Ea(ee0044)*Ginv(1,3) +
& 2*Ea(ee0034)*Ginv(1,4) +
& 2*(Ea(ee0014) + 2*Ea(ee0000)*Ginv(1,4))*Ginv(3,4) +
& (Ea(ee0013) + 2*Ea(ee0000)*Ginv(1,3))*Ginv(4,4))
dE(ee1444) = -6*(Ea(ee0044)*Ginv(1,4) +
& (Ea(ee0014) + 2*Ea(ee0000)*Ginv(1,4))*Ginv(4,4))
dE(ee2222) = -12*Ginv(2,2)*(Ea(ee0022) + Ea(ee0000)*Ginv(2,2))
dE(ee2223) = -6*(Ea(ee0023)*Ginv(2,2) +
& (Ea(ee0022) + 2*Ea(ee0000)*Ginv(2,2))*Ginv(2,3))
dE(ee2224) = -6*(Ea(ee0024)*Ginv(2,2) +
& (Ea(ee0022) + 2*Ea(ee0000)*Ginv(2,2))*Ginv(2,4))
dE(ee2233) = -2*(Ea(ee0033)*Ginv(2,2) +
& 4*Ginv(2,3)*(Ea(ee0023) + Ea(ee0000)*Ginv(2,3)) +
& (Ea(ee0022) + 2*Ea(ee0000)*Ginv(2,2))*Ginv(3,3))
dE(ee2234) = -2*(Ea(ee0034)*Ginv(2,2) +
& 2*Ea(ee0024)*Ginv(2,3) +
& 2*(Ea(ee0023) + 2*Ea(ee0000)*Ginv(2,3))*Ginv(2,4) +
& (Ea(ee0022) + 2*Ea(ee0000)*Ginv(2,2))*Ginv(3,4))
dE(ee2244) = -2*(Ea(ee0044)*Ginv(2,2) +
& 4*Ginv(2,4)*(Ea(ee0024) + Ea(ee0000)*Ginv(2,4)) +
& (Ea(ee0022) + 2*Ea(ee0000)*Ginv(2,2))*Ginv(4,4))
dE(ee2333) = -6*(Ea(ee0033)*Ginv(2,3) +
& (Ea(ee0023) + 2*Ea(ee0000)*Ginv(2,3))*Ginv(3,3))
dE(ee2334) = -2*(2*Ea(ee0034)*Ginv(2,3) +
& Ea(ee0033)*Ginv(2,4) +
& (Ea(ee0024) + 2*Ea(ee0000)*Ginv(2,4))*Ginv(3,3) +
& 2*(Ea(ee0023) + 2*Ea(ee0000)*Ginv(2,3))*Ginv(3,4))
dE(ee2344) = -2*(Ea(ee0044)*Ginv(2,3) +
& 2*Ea(ee0034)*Ginv(2,4) +
& 2*(Ea(ee0024) + 2*Ea(ee0000)*Ginv(2,4))*Ginv(3,4) +
& (Ea(ee0023) + 2*Ea(ee0000)*Ginv(2,3))*Ginv(4,4))
dE(ee2444) = -6*(Ea(ee0044)*Ginv(2,4) +
& (Ea(ee0024) + 2*Ea(ee0000)*Ginv(2,4))*Ginv(4,4))
dE(ee3333) = -12*Ginv(3,3)*(Ea(ee0033) + Ea(ee0000)*Ginv(3,3))
dE(ee3334) = -6*(Ea(ee0034)*Ginv(3,3) +
& (Ea(ee0033) + 2*Ea(ee0000)*Ginv(3,3))*Ginv(3,4))
dE(ee3344) = -2*(Ea(ee0044)*Ginv(3,3) +
& 4*Ginv(3,4)*(Ea(ee0034) + Ea(ee0000)*Ginv(3,4)) +
& (Ea(ee0033) + 2*Ea(ee0000)*Ginv(3,3))*Ginv(4,4))
dE(ee3444) = -6*(Ea(ee0044)*Ginv(3,4) +
& (Ea(ee0034) + 2*Ea(ee0000)*Ginv(3,4))*Ginv(4,4))
dE(ee4444) = -12*Ginv(4,4)*(Ea(ee0044) + Ea(ee0000)*Ginv(4,4))
dE(ee0000) = Ea(ee0000)
dE(ee0011) = Ea(ee0011)
dE(ee0012) = Ea(ee0012)
dE(ee0013) = Ea(ee0013)
dE(ee0014) = Ea(ee0014)
dE(ee0022) = Ea(ee0022)
dE(ee0023) = Ea(ee0023)
dE(ee0024) = Ea(ee0024)
dE(ee0033) = Ea(ee0033)
dE(ee0034) = Ea(ee0034)
dE(ee0044) = Ea(ee0044)
ini = .TRUE.
do i = 1, Nee
if( abs(Ea(i) - Eb(i) - dE(i)) .gt.
& .5D0*maxdev*abs(Ea(i) + Eb(i)) ) then
if( ini ) then
#ifdef COMPLEXPARA
print *, "Discrepancy in CEget:"
#else
print *, "Discrepancy in Eget:"
#endif
call XDumpPara(5, para, ldpara, " ")
ini = .FALSE.
endif
print *, coeffname(i,5), " a =", Ea(i)
print *, coeffname(i,5), " b =", Eb(i) + dE(i)
endif
enddo
end
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