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113 lines
3.2 KiB

!
! SPDX-License-Identifier: GPL-3.0-or-later
! Copyright (C) 2019-2022, respective authors of MCFM.
!
subroutine qqb_trigam_v(p,msq)
implicit none
include 'types.f'
c***********************************************************************
c Authors: C. Williams and J. M. Campbell *
c March, 2013. *
c Virtual matrix element squared, averaged over initial colors *
c and spins *
c q(-p1)+qbar(-p2) --> gam(p3) + gam(p4) + gam(p5) *
c***********************************************************************
include 'constants.f'
include 'nf.f'
include 'mxpart.f'
include 'ewcharge.f'
include 'ewcouple.f'
include 'qcdcouple.f'
include 'zprods_decl.f'
include 'scheme.f'
real(dp):: p(mxpart,4),msq(-nf:nf,-nf:nf)
complex(dp):: qqb_lo(2,2,2,2),qqb_v(2,2,2,2)
real(dp):: qqbsum
integer:: j,h1,h2,h3,h4
real(dp):: fac,statfac
parameter(statfac=one/6._dp)
scheme='dred'
c--- initialize matrix elements
msq(:,:)=zip
call spinoru(5,p,za,zb)
c--- fill qqb LO helicity amplitudes
call amp_lo_3gam(1,2,3,4,5,za,zb,qqb_lo)
c--- fill qqb virtual helicity amplitudes
call amp_virt_3gam(1,2,3,4,5,za,zb,qqb_v)
c--- note that the result for the qbq case will be identical
qqbsum=0._dp
do h1=1,2
do h2=1,2
do h3=1,2
do h4=1,2
qqbsum=qqbsum
& +Dble(conjg(qqb_lo(h1,h2,h3,h4))*qqb_v(h1,h2,h3,h4))
enddo
enddo
enddo
enddo
fac=esq**3*xn*8._dp*aveqq*statfac*Cf*ason2pi*2._dp
do j=-nf,nf
if (j /= 0) then
msq(j,-j)=fac*Q(j)**6*qqbsum
endif
enddo
return
end
subroutine amp_virt_3gam(p1,p2,p3,p4,p5,za,zb,amp)
implicit none
include 'types.f'
include 'constants.f'
include 'mxpart.f'
include 'zprods_decl.f'
integer:: p1,p2,p3,p4,p5
complex(dp):: amp(2,2,2,2),virt_trigam
c======= amplitudes that are zero
amp(2,1,1,1)=czip
amp(2,2,2,2)=czip
amp(1,2,2,2)=czip
amp(1,1,1,1)=czip
c--- DEBUG ONLY
c write(6,*)
c amp(1,2,2,1)=virt_trigam_MHV(p1,p2,p3,p4,p5,za,zb)
c amp(1,2,2,1)=virt_trigam(p1,p2,p3,p4,p5,za,zb)
c write(6,*)
c pause
c--- DEBUG ONLY
c======= 3,4,5 symmetry
amp(1,2,2,1)=virt_trigam(p1,p2,p3,p4,p5,za,zb)
amp(1,2,1,2)=virt_trigam(p1,p2,p3,p5,p4,za,zb)
amp(1,1,2,2)=virt_trigam(p1,p2,p4,p5,p3,za,zb)
c======= line reversal
amp(2,2,2,1)=virt_trigam(p2,p1,p3,p4,p5,za,zb)
amp(2,2,1,2)=virt_trigam(p2,p1,p3,p5,p4,za,zb)
amp(2,1,2,2)=virt_trigam(p2,p1,p4,p5,p3,za,zb)
c======= conjugation
amp(2,1,1,2)=-virt_trigam(p1,p2,p3,p4,p5,zb,za)
amp(2,1,2,1)=-virt_trigam(p1,p2,p3,p5,p4,zb,za)
amp(2,2,1,1)=-virt_trigam(p1,p2,p4,p5,p3,zb,za)
c======= conjugation and line reversal
amp(1,1,1,2)=-virt_trigam(p2,p1,p3,p4,p5,zb,za)
amp(1,1,2,1)=-virt_trigam(p2,p1,p3,p5,p4,zb,za)
amp(1,2,1,1)=-virt_trigam(p2,p1,p4,p5,p3,zb,za)
return
end