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sigborn.f
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subroutine btildeborn(res)
implicit none
include 'nlegborn.h'
include 'pwhg_flst.h'
include 'pwhg_kn.h'
include 'pwhg_br.h'
include 'pwhg_flg.h'
include 'pwhg_pdf.h'
real * 8 pdf1(-pdf_nparton:pdf_nparton),
1 pdf2(-pdf_nparton:pdf_nparton)
real * 8 res(flst_nborn),tot,rescfac
integer j
if(.not.flg_minlo) then
rescfac = 1
call pdfcall(1,kn_xb1,pdf1)
call pdfcall(2,kn_xb2,pdf2)
endif
tot=0
do j=1,flst_nborn
if(flg_minlo) then
call setlocalscales(j,1,rescfac)
call pdfcall(1,kn_xb1,pdf1)
call pdfcall(2,kn_xb2,pdf2)
endif
res(j)=br_born(j) *
# pdf1(flst_born(1,j))*pdf2(flst_born(2,j))*kn_jacborn*rescfac
tot=tot+res(j)
c if one wants to do only the integration over the whole phase space, then
c uncomment the following (with or without the flux factor 1/(2*kn_sborn)
c
c res(j)=kn_jacborn/(2*kn_sborn)/flst_nborn
enddo
c If born rescaling of some sort is needed, the user should provide
c its own rescaling procedure in a file named pwhg_born_rescaling_hook.h.
c The default one is in the include directory, and is empty
include 'pwhg_born_rescaling_hook.h'
end
subroutine sigborn_rad(born)
implicit none
real * 8 born
include 'nlegborn.h'
include 'pwhg_flst.h'
include 'pwhg_kn.h'
include 'pwhg_br.h'
include 'pwhg_rad.h'
include 'pwhg_pdf.h'
real * 8 pdf1(-pdf_nparton:pdf_nparton),
1 pdf2(-pdf_nparton:pdf_nparton),
2 bornjk(nlegborn,nlegborn),bmunu(0:3,0:3,nlegborn)
call pdfcall(1,kn_xb1,pdf1)
call pdfcall(2,kn_xb2,pdf2)
flst_cur_iborn = rad_ubornidx
call setborn0(kn_cmpborn,flst_born(1,rad_ubornidx),born,
# bornjk,bmunu)
c Store in the br_born arrays; they are used to compute
c collinear and soft approximations, and affect the subtraction
c of the remnant component.
br_born(rad_ubornidx)=born
br_bornjk(:,:,rad_ubornidx)=bornjk
br_bmunu(:,:,:,rad_ubornidx)=bmunu
born=born *
# pdf1(flst_born(1,rad_ubornidx))*pdf2(flst_born(2,rad_ubornidx))
end
subroutine allborn
implicit none
include 'nlegborn.h'
include 'pwhg_flst.h'
include 'pwhg_kn.h'
include 'pwhg_br.h'
include 'pwhg_flg.h'
integer equivto(maxprocborn)
common/cequivtoborn/equivto
real * 8 equivcoef(maxprocborn)
common/cequivcoefborn/equivcoef
integer nmomset
parameter (nmomset=10)
real * 8 pborn(0:3,nlegborn,nmomset),cprop
real * 8 born(nmomset,maxprocborn)
real * 8 bornjk(nlegborn,nlegborn,nmomset,maxprocborn)
real * 8 bmunu(0:3,0:3,nlegborn,nmomset,maxprocborn)
integer iborn,ibornpr,mu,nu,k,j,iret
logical ini
data ini/.true./
save ini,/cequivtoborn/,/cequivcoefborn/
real * 8 powheginput
if(ini) then
do iborn=1,flst_nborn
equivto(iborn)=-1
enddo
if(flg_smartsig) then
flg_in_smartsig = .true.
call fillequivarrayborn(flst_nborn,equivto,equivcoef,iret)
if(iret<0) then
call randomsave
call fillmomenta(nlegborn,nmomset,kn_masses,pborn)
do iborn=1,flst_nborn
do j=1,nmomset
flst_cur_iborn = iborn
call setborn0(pborn(0,1,j),flst_born(1,iborn),
1 born(j,iborn),bornjk(1,1,j,iborn),
2 bmunu(0,0,1,j,iborn))
enddo
call compare_vecsb(nmomset,iborn,born,bornjk,bmunu,
1 ibornpr,cprop,iret)
if(iret.eq.0) then
equivto(iborn)=ibornpr
equivcoef(iborn)=1
elseif(iret.eq.1) then
equivto(iborn)=ibornpr
equivcoef(iborn)=cprop
endif
enddo
call randomrestore
call printbornequiv
c Write equiv file, if required
if(powheginput('#writeequivfile') == 1) then
call writeequivfile('born',
1 flst_nborn,equivto,equivcoef)
endif
endif
endif
flg_in_smartsig = .false.
ini=.false.
endif
do iborn=1,flst_nborn
if(equivto(iborn).lt.0) then
flst_cur_iborn = iborn
call setborn0(kn_cmpborn,flst_born(1,iborn),br_born(iborn),
# br_bornjk(1,1,iborn),br_bmunu(0,0,1,iborn))
else
br_born(iborn)=br_born(equivto(iborn))*equivcoef(iborn)
do j=1,nlegborn
do k=1,nlegborn
br_bornjk(j,k,iborn)=br_bornjk(j,k,equivto(iborn))
#*equivcoef(iborn)
enddo
enddo
do mu=0,3
do nu=0,3
do j=1,nlegborn
br_bmunu(mu,nu,j,iborn)=
# br_bmunu(mu,nu,j,equivto(iborn))
# *equivcoef(iborn)
enddo
enddo
enddo
endif
enddo
end
subroutine compare_vecsb(nmomset,iborn,born,bornjk,bmunu,
1 ibornpr,cprop,iret)
implicit none
include 'nlegborn.h'
include 'pwhg_flst.h'
real * 8 ep
integer nmomset,iborn,ibornpr,iret,jborn,k,jleg,kleg,mu,nu
real * 8 born(nmomset,iborn),cprop,rat,resi,resj
real * 8 bornjk(nlegborn,nlegborn,nmomset,maxprocborn)
real * 8 bmunu(0:3,0:3,nlegborn,nmomset,maxprocborn)
real * 8 powheginput,tmp
tmp = powheginput("#compare_vecsb_ep")
if(tmp>0) then
ep = tmp
else
ep = 1d-12
endif
do jborn=1,iborn-1
rat=born(1,iborn)/born(1,jborn)
do k=1,nmomset
resi=born(k,iborn)
resj=born(k,jborn)
if(abs(1-resi/resj/rat).gt.ep) goto 10
enddo
c totals are identical; see if also colour correlated are
do jleg=1,nlegborn
do kleg=1,nlegborn
do k=1,nmomset
resi=bornjk(jleg,kleg,k,iborn)
resj=bornjk(jleg,kleg,k,jborn)
c some of these are zero, be careful
if(resi.ne.resj*rat) then
if(abs(1-resi/resj/rat).gt.ep) goto 10
endif
enddo
enddo
enddo
c totals are identical; see if also spin correlated are
do jleg=1,nlegborn
do mu=0,3
do nu=0,3
do k=1,nmomset
resi=bmunu(mu,nu,jleg,k,iborn)
resj=bmunu(mu,nu,jleg,k,jborn)
c some of these are zero, be careful
if(resi.ne.resj*rat) then
if(abs(1-resi/resj/rat).gt.ep) goto 10
endif
enddo
enddo
enddo
enddo
if(abs(1-rat).lt.ep) then
iret=0
cprop=1
else
iret=1
cprop=rat
endif
ibornpr=jborn
return
10 continue
enddo
iret=-1
end
subroutine setborn0(p,bflav,born,bornjk,bmunu)
c provide the flux factor to the user Born routine
implicit none
include 'pwhg_math.h'
include 'nlegborn.h'
include 'pwhg_flst.h'
include 'pwhg_kn.h'
integer nlegs
parameter (nlegs=nlegborn)
real * 8 p(0:3,nlegs)
integer bflav(nlegs)
real * 8 born,bornjk(nlegs,nlegs),bmunu(0:3,0:3,nlegs)
integer j,k,mu,nu
logical pwhg_isfinite
external pwhg_isfinite
call setborn(p,bflav,born,bornjk,bmunu)
c check if born, bornjk and bmunu are finite
if (.not.pwhg_isfinite(born)) born=0d0
do j=1,nlegs
do mu=0,3
do nu=0,3
if (.not.pwhg_isfinite(bmunu(mu,nu,j)))
$ bmunu(mu,nu,j)=0d0
enddo
enddo
enddo
do j=1,nlegs
do k=1,nlegs
if (.not.pwhg_isfinite(bornjk(j,k))) bornjk(j,k)=0d0
enddo
enddo
c
born=born/(2*kn_sborn)
do j=1,nlegs
do mu=0,3
do nu=0,3
bmunu(mu,nu,j)=bmunu(mu,nu,j)/(2*kn_sborn)
enddo
enddo
enddo
do j=1,nlegs
do k=1,nlegs
bornjk(j,k)=bornjk(j,k)/(2*kn_sborn)
enddo
enddo
end
subroutine printbornequiv
c When invoked after the first call to allborn,
c it prints the set of equivalent Born configurations
implicit none
include 'nlegborn.h'
include 'pwhg_flst.h'
include 'pwhg_rnd.h'
integer equivto(maxprocborn)
common/cequivtoborn/equivto
real * 8 equivcoef(maxprocborn)
common/cequivcoefborn/equivcoef
integer j,k,iun,count
save count
data count/0/
call newunit(iun)
if(rnd_cwhichseed == 'none') then
open(unit=iun,file='bornequiv',status='unknown')
else
open(unit=iun,file='bornequiv-'//
1 trim(rnd_cwhichseed),status='unknown')
endif
write(*,*) 'Writing bornequiv file...'
do j=1,flst_nborn
if(equivto(j).eq.-1) then
write(iun,'(a)')
1 'Beginning sequence of equivalent amplitudes'
c write(iun,100) 1d0,j, flst_born(:,j)
write(iun,101) j, 1d0,flst_born(:,j)
do k=1,flst_nborn
if(equivto(k).eq.j) then
c write(iun,100) equivcoef(k),k,flst_born(:,k)
write(iun,101) k,equivcoef(k),flst_born(:,k)
endif
enddo
count=count+1
endif
enddo
write(iun,*) ''
write(iun,'(a,i4,a)') 'Found ',count, ' equivalent groups'
close(iun)
write(*,*) 'Done'
c 100 format(d11.4,5x,i4,5x,100(i4,1x))
101 format(i4,5x,d11.4,5x,100(i4,1x))
end