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subroutine jiotxx(fi,fo,tc,gc,gt,vmass,vwidth , jiot)
c
c This subroutine computes an off-shell vector boson wavefunction from a
c flowing-out fermion, a flowing-in fermion and a tensor boson.
c
c input:
c complex fi(6) : flow-in fermion |fi>
c complex fo(6) : flow-out fermion <fo|
c complex tc(18) : input tensor T
c complex gc(2) : coupling constants gvf
c complex gt : coupling constant gtfv=-1/Lambda/2
c real vmass : mass of output vector v
c real vwidth : width of output vector v
c
c output:
c complex jiot(6) : vector boson j^mu(<fo|v,T|fi>)
c
c- by Q.Li - OCT. 2006
c
implicit none
double complex fi(6), fo(6), tc(18), gc(2), gt, jiot(6)
double precision vmass, vwidth
double complex ft(6,4)
double complex d, T00, T12, T13, T14, T23, T24, T34
double precision pv(4), pv2
integer i
double precision rZero, rTwo
parameter( rZero = 0.0d0, rTwo = 2.0d0 )
double complex cone
parameter( cone = ( 0.0d0, 1.0d0 ))
ft(1,1) = tc(1)
ft(1,2) = tc(2)
ft(1,3) = tc(3)
ft(1,4) = tc(4)
ft(2,1) = tc(5)
ft(2,2) = tc(6)
ft(2,3) = tc(7)
ft(2,4) = tc(8)
ft(3,1) = tc(9)
ft(3,2) = tc(10)
ft(3,3) = tc(11)
ft(3,4) = tc(12)
ft(4,1) = tc(13)
ft(4,2) = tc(14)
ft(4,3) = tc(15)
ft(4,4) = tc(16)
ft(5,1) = tc(17)
ft(6,1) = tc(18)
jiot(5) = fo(5) + ft(5,1) -fi(5)
jiot(6) = fo(6) + ft(6,1) -fi(6)
pv(1) = dreal(jiot(5))
pv(2) = dreal(jiot(6))
pv(3) = dimag(jiot(6))
pv(4) = dimag(jiot(5))
pv2=pv(1)**2-pv(2)**2-pv(3)**2-pv(4)**2
T00 = ft(1,1)-ft(2,2)-ft(3,3)-ft(4,4)
T12 = ft(1,2) + ft(2,1)
T13 = ft(1,3) + ft(3,1)
T14 = ft(1,4) + ft(4,1)
T23 = ft(2,3) + ft(3,2)
T24 = ft(2,4) + ft(4,2)
T34 = ft(3,4) + ft(4,3)
if ( vmass.gt.rZero ) then
d = 1.0d0/dcmplx( pv2-vmass**2, vmass*vwidth )
else
d = 1.0d0/dcmplx( pv2, rZero )
end if
if (vmass.gt.rzero) then
jiot(1) = fi(3)*gc(2)*(-((rtwo*T00*fo(2)*pv(1)*(-pv(2)
& - cone*pv(3)))/vmass**2) +
& fo(1)*((rtwo*T00)
&- (rtwo*T00*pv(1)*(pv(1) - pv(4)))/vmass**2)) +
& fi(2)*gc(1)*(-((rtwo*T00*fo(3)*pv(1)
&*(pv(2) - cone*pv(3)))/vmass**2) +
& fo(4)*((rtwo*T00) - (rtwo*T00*pv(1)
&*(pv(1) - pv(4)))/vmass**2)) +
& fi(4)*gc(2)*(-((rtwo*T00*fo(1)*pv(1)
&*(-pv(2) + cone*pv(3)))/vmass**2) +
& fo(2)*((rtwo*T00)
&- (rtwo*T00*pv(1)*(pv(1) + pv(4)))/vmass**2)) +
& fi(1)*gc(1)*(-((rtwo*T00*fo(4)*pv(1)*(pv(2)
& + cone*pv(3)))/vmass**2) +
& fo(3)*((rtwo*T00)
&- (rtwo*T00*pv(1)*(pv(1) + pv(4)))/vmass**2)) +
& fi(4)*gc(2)*(fo(1)*(ft(1,2) - cone*ft(1,3)
&+ ft(2,1) - cone*ft(3,1))
& + fo(2)*(-2*ft(1,1) - ft(1,4) - ft(4,1))) +
& fi(1)*gc(1)*(fo(4)*(-ft(1,2) - cone*ft(1,3) - ft(2,1)
&- cone*ft(3,1)) + fo(3)*(-2*ft(1,1) - ft(1,4) - ft(4,1))) +
& fi(3)*gc(2)*(fo(2)*(ft(1,2) + cone*ft(1,3) + ft(2,1)
&+ cone*ft(3,1)) + fo(1)*(-2*ft(1,1) + ft(1,4) + ft(4,1))) +
& fi(2)*gc(1)*(fo(3)*(-ft(1,2) + cone*ft(1,3) - ft(2,1)
& + cone*ft(3,1)) + fo(4)*(-2*ft(1,1) + ft(1,4) + ft(4,1))) +
& (pv(1)*(fi(4)*gc(2)*(fo(1)*(-(T12*pv(1)) + cone*T13*pv(1)
& + T23*(-(cone*pv(2)) + pv(3)) + T24*pv(4) - cone*T34*pv(4) +
& rtwo*pv(2)*ft(2,2) - cone*rtwo*pv(3)*ft(3,3)) +
& fo(2)*(-(T12*pv(2)) - T24*pv(2) - T13*pv(3) -
&T34*pv(3) - T14*(-pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) -
& rtwo*pv(4)*ft(4,4))) + fi(1)*gc(1)*
& (fo(4)*(T12*pv(1) + cone*T13*pv(1)
&+ T23*(-(cone*pv(2)) - pv(3)) - T24*pv(4) - cone*T34*pv(4) -
& rtwo*pv(2)*ft(2,2) - cone*rtwo*pv(3)*ft(3,3)) +
& fo(3)*(-(T12*pv(2)) - T24*pv(2) - T13*pv(3)
&- T34*pv(3) - T14*(-pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) -
& rtwo*pv(4)*ft(4,4))) + fi(3)*gc(2)*
& (fo(2)*(-(T12*pv(1)) - cone*T13*pv(1)
&+ T23*(cone*pv(2) + pv(3)) + T24*pv(4) + cone*T34*pv(4) +
& rtwo*pv(2)*ft(2,2) + cone*rtwo*pv(3)*ft(3,3)) +
& fo(1)*(-(T12*pv(2)) + T24*pv(2) - T13*pv(3)
& + T34*pv(3) - T14*(pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) +
& rtwo*pv(4)*ft(4,4))) + fi(2)*gc(1)*
& (fo(3)*(T12*pv(1) - cone*T13*pv(1)
&+ T23*(cone*pv(2) - pv(3)) - T24*pv(4) + cone*T34*pv(4) -
& rtwo*pv(2)*ft(2,2) + cone*rtwo*pv(3)*ft(3,3)) +
& fo(4)*(-(T12*pv(2)) + T24*pv(2) - T13*pv(3)
&+ T34*pv(3) - T14*(pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) +
& rtwo*pv(4)*ft(4,4)))))/vmass**2
jiot(2) = fi(3)*gc(2)*(fo(2)*((rtwo*T00)
&- (rtwo*T00*pv(2)*(-pv(2) - cone*pv(3)))/vmass**2) -
& (rtwo*T00*fo(1)*pv(2)*(pv(1) - pv(4)))/vmass**2) +
& fi(2)*gc(1)*(fo(3)*(-rtwo*T00 - (rtwo*T00*pv(2)*(pv(2)
& - cone*pv(3)))/vmass**2) -
& (rtwo*T00*fo(4)*pv(2)*(pv(1) - pv(4)))/vmass**2) +
& fi(4)*gc(2)*(fo(1)*((rtwo*T00)
& - (rtwo*T00*pv(2)*(-pv(2) + cone*pv(3)))/vmass**2) -
& (rtwo*T00*fo(2)*pv(2)*(pv(1) + pv(4)))/vmass**2) +
& fi(1)*gc(1)*(fo(4)*(-rtwo*T00 - (rtwo*T00*pv(2)*(pv(2)
&+ cone*pv(3)))/vmass**2) -
& (rtwo*T00*fo(3)*pv(2)*(pv(1) + pv(4)))/vmass**2) +
& fi(4)*gc(2)*(fo(1)*(2*ft(2,2) - cone*ft(2,3) - cone*ft(3,2))
& + fo(2)*(-ft(1,2) - ft(2,1) - ft(2,4) - ft(4,2))) +
& fi(1)*gc(1)*(fo(4)*(-2*ft(2,2) - cone*ft(2,3) - cone*ft(3,2))
&+ fo(3)*(-ft(1,2) - ft(2,1) - ft(2,4) - ft(4,2))) +
& fi(3)*gc(2)*(fo(2)*(2*ft(2,2) + cone*ft(2,3) + cone*ft(3,2))
&+ fo(1)*(-ft(1,2) - ft(2,1) + ft(2,4) + ft(4,2))) +
& fi(2)*gc(1)*(fo(3)*(-2*ft(2,2) + cone*ft(2,3) + cone*ft(3,2))
& + fo(4)*(-ft(1,2) - ft(2,1) + ft(2,4) + ft(4,2))) +
& (pv(2)*(fi(4)*gc(2)*(fo(1)*(-(T12*pv(1)) + cone*T13*pv(1)
& + T23*(-(cone*pv(2)) + pv(3)) + T24*pv(4) - cone*T34*pv(4) +
& rtwo*pv(2)*ft(2,2) - cone*rtwo*pv(3)*ft(3,3)) +
& fo(2)*(-(T12*pv(2)) - T24*pv(2) - T13*pv(3)
& - T34*pv(3) - T14*(-pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) -
& rtwo*pv(4)*ft(4,4))) + fi(1)*gc(1)*
& (fo(4)*(T12*pv(1) + cone*T13*pv(1) + T23*(-(cone*pv(2))
& - pv(3)) - T24*pv(4) - cone*T34*pv(4) -
& rtwo*pv(2)*ft(2,2) - cone*rtwo*pv(3)*ft(3,3)) +
& fo(3)*(-(T12*pv(2)) - T24*pv(2) - T13*pv(3)
& - T34*pv(3) - T14*(-pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) -
& rtwo*pv(4)*ft(4,4))) + fi(3)*gc(2)*
& (fo(2)*(-(T12*pv(1)) - cone*T13*pv(1)
&+ T23*(cone*pv(2) + pv(3)) + T24*pv(4) + cone*T34*pv(4) +
& rtwo*pv(2)*ft(2,2) + cone*rtwo*pv(3)*ft(3,3)) +
& fo(1)*(-(T12*pv(2)) + T24*pv(2) - T13*pv(3)
& + T34*pv(3) - T14*(pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) +
& rtwo*pv(4)*ft(4,4))) + fi(2)*gc(1)*
& (fo(3)*(T12*pv(1) - cone*T13*pv(1)
&+ T23*(cone*pv(2) - pv(3)) - T24*pv(4) + cone*T34*pv(4) -
& rtwo*pv(2)*ft(2,2) + cone*rtwo*pv(3)*ft(3,3)) +
& fo(4)*(-(T12*pv(2)) + T24*pv(2) - T13*pv(3)
&+ T34*pv(3) - T14*(pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) +
& rtwo*pv(4)*ft(4,4)))))/vmass**2
jiot(3) =fi(3)*gc(2)*(fo(2)*((cone*rtwo*T00)
& - (rtwo*T00*pv(3)*(-pv(2) - cone*pv(3)))/vmass**2) -
& (rtwo*T00*fo(1)*pv(3)*(pv(1) - pv(4)))/vmass**2) +
& fi(2)*gc(1)*(fo(3)*((cone*rtwo*T00)
&- (rtwo*T00*pv(3)*(pv(2) - cone*pv(3)))/vmass**2) -
& (rtwo*T00*fo(4)*pv(3)*(pv(1) - pv(4)))/vmass**2) +
& fi(4)*gc(2)*(fo(1)*(-cone*rtwo*T00
&- (rtwo*T00*pv(3)*(-pv(2) + cone*pv(3)))/vmass**2) -
& (rtwo*T00*fo(2)*pv(3)*(pv(1) + pv(4)))/vmass**2) +
& fi(1)*gc(1)*(fo(4)*(-cone*rtwo*T00
& - (rtwo*T00*pv(3)*(pv(2) + cone*pv(3)))/vmass**2) -
& (rtwo*T00*fo(3)*pv(3)*(pv(1) + pv(4)))/vmass**2) +
& fi(4)*gc(2)*(fo(1)*(ft(2,3) + ft(3,2)
&- 2*cone*ft(3,3)) + fo(2)*(-ft(1,3) - ft(3,1)
&- ft(3,4) - ft(4,3))) +
& fi(1)*gc(1)*(fo(4)*(-ft(2,3) - ft(3,2)
&- 2*cone*ft(3,3)) + fo(3)*(-ft(1,3) - ft(3,1)
&- ft(3,4) - ft(4,3))) +
& fi(3)*gc(2)*(fo(2)*(ft(2,3) + ft(3,2) + 2*cone*ft(3,3))
& + fo(1)*(-ft(1,3) - ft(3,1) + ft(3,4) + ft(4,3))) +
& fi(2)*gc(1)*(fo(3)*(-ft(2,3) - ft(3,2) + 2*cone*ft(3,3))
&+ fo(4)*(-ft(1,3) - ft(3,1) + ft(3,4) + ft(4,3))) +
& (pv(3)*(fi(4)*gc(2)*(fo(1)*(-(T12*pv(1)) + cone*T13*pv(1)
&+ T23*(-(cone*pv(2)) + pv(3)) + T24*pv(4) - cone*T34*pv(4) +
& rtwo*pv(2)*ft(2,2) - cone*rtwo*pv(3)*ft(3,3)) +
& fo(2)*(-(T12*pv(2)) - T24*pv(2) - T13*pv(3)
&- T34*pv(3) - T14*(-pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) -
& rtwo*pv(4)*ft(4,4))) + fi(1)*gc(1)*
& (fo(4)*(T12*pv(1) + cone*T13*pv(1)
&+ T23*(-(cone*pv(2)) - pv(3)) - T24*pv(4) - cone*T34*pv(4) -
& rtwo*pv(2)*ft(2,2) - cone*rtwo*pv(3)*ft(3,3)) +
& fo(3)*(-(T12*pv(2)) - T24*pv(2) - T13*pv(3)
& - T34*pv(3) - T14*(-pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) -
& rtwo*pv(4)*ft(4,4))) + fi(3)*gc(2)*
& (fo(2)*(-(T12*pv(1)) - cone*T13*pv(1)
&+ T23*(cone*pv(2) + pv(3)) + T24*pv(4) + cone*T34*pv(4) +
& rtwo*pv(2)*ft(2,2) + cone*rtwo*pv(3)*ft(3,3)) +
& fo(1)*(-(T12*pv(2)) + T24*pv(2) - T13*pv(3)
& + T34*pv(3) - T14*(pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) +
& rtwo*pv(4)*ft(4,4))) + fi(2)*gc(1)*
& (fo(3)*(T12*pv(1) - cone*T13*pv(1)
&+ T23*(cone*pv(2) - pv(3)) - T24*pv(4) + cone*T34*pv(4) -
& rtwo*pv(2)*ft(2,2) + cone*rtwo*pv(3)*ft(3,3)) +
& fo(4)*(-(T12*pv(2)) + T24*pv(2) - T13*pv(3)
& + T34*pv(3) - T14*(pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) +
& rtwo*pv(4)*ft(4,4)))))/vmass**2
jiot(4) =fi(3)*gc(2)*(-((rtwo*T00*fo(2)*(-pv(2)
& - cone*pv(3))*pv(4))/vmass**2) +
& fo(1)*((rtwo*T00) - (rtwo*T00*(pv(1)
& - pv(4))*pv(4))/vmass**2)) +
& fi(2)*gc(1)*(-((rtwo*T00*fo(3)*(pv(2)
& - cone*pv(3))*pv(4))/vmass**2) +
& fo(4)*((rtwo*T00) - (rtwo*T00*(pv(1)
& - pv(4))*pv(4))/vmass**2)) +
& fi(4)*gc(2)*(-((rtwo*T00*fo(1)*(-pv(2)
&+ cone*pv(3))*pv(4))/vmass**2) +
& fo(2)*(-rtwo*T00
& - (rtwo*T00*pv(4)*(pv(1) + pv(4)))/vmass**2)) +
& fi(1)*gc(1)*(-((rtwo*T00*fo(4)*(pv(2)
& + cone*pv(3))*pv(4))/vmass**2) +
& fo(3)*(-rtwo*T00 - (rtwo*T00*pv(4)*(pv(1)
& + pv(4)))/vmass**2)) +
& fi(4)*gc(2)*(fo(1)*(ft(2,4) - cone*ft(3,4)
& + ft(4,2) - cone*ft(4,3)) + fo(2)*(-ft(1,4)
&- ft(4,1) - 2*ft(4,4))) +
& fi(1)*gc(1)*(fo(4)*(-ft(2,4) - cone*ft(3,4)
& - ft(4,2) - cone*ft(4,3)) + fo(3)*(-ft(1,4)
& - ft(4,1) - 2*ft(4,4))) +
& fi(3)*gc(2)*(fo(2)*(ft(2,4) + cone*ft(3,4)
&+ ft(4,2) + cone*ft(4,3)) + fo(1)*(-ft(1,4)
&- ft(4,1) + 2*ft(4,4))) +
& fi(2)*gc(1)*(fo(3)*(-ft(2,4) + cone*ft(3,4)
& - ft(4,2) + cone*ft(4,3)) + fo(4)*(-ft(1,4)
& - ft(4,1) + 2*ft(4,4))) +
& (pv(4)*(fi(4)*gc(2)*(fo(1)*(-(T12*pv(1))
&+ cone*T13*pv(1) + T23*(-(cone*pv(2)) + pv(3))
& + T24*pv(4) - cone*T34*pv(4) +
& rtwo*pv(2)*ft(2,2) - cone*rtwo*pv(3)*ft(3,3)) +
& fo(2)*(-(T12*pv(2)) - T24*pv(2) - T13*pv(3)
& - T34*pv(3) - T14*(-pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) -
& rtwo*pv(4)*ft(4,4))) + fi(1)*gc(1)*
& (fo(4)*(T12*pv(1) + cone*T13*pv(1)
&+ T23*(-(cone*pv(2)) - pv(3)) - T24*pv(4) - cone*T34*pv(4) -
& rtwo*pv(2)*ft(2,2) - cone*rtwo*pv(3)*ft(3,3)) +
& fo(3)*(-(T12*pv(2)) - T24*pv(2) - T13*pv(3)
& - T34*pv(3) - T14*(-pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) -
& rtwo*pv(4)*ft(4,4))) + fi(3)*gc(2)*
& (fo(2)*(-(T12*pv(1)) - cone*T13*pv(1)
&+ T23*(cone*pv(2) + pv(3)) + T24*pv(4) + cone*T34*pv(4) +
& rtwo*pv(2)*ft(2,2) + cone*rtwo*pv(3)*ft(3,3)) +
& fo(1)*(-(T12*pv(2)) + T24*pv(2) - T13*pv(3)
&+ T34*pv(3) - T14*(pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) +
& rtwo*pv(4)*ft(4,4))) + fi(2)*gc(1)*
& (fo(3)*(T12*pv(1) - cone*T13*pv(1) + T23*(cone*pv(2)
&- pv(3)) - T24*pv(4) + cone*T34*pv(4) -
& rtwo*pv(2)*ft(2,2) + cone*rtwo*pv(3)*ft(3,3)) +
& fo(4)*(-(T12*pv(2)) + T24*pv(2) - T13*pv(3)
& + T34*pv(3) - T14*(pv(1) + pv(4)) + rtwo*pv(1)*ft(1,1) +
& rtwo*pv(4)*ft(4,4)))))/vmass**2
else
jiot(1) = rtwo*T00*fi(1)*fo(3)*gc(1)
& + rtwo*T00*fi(2)*fo(4)*gc(1) + rtwo*T00*fi(3)*fo(1)*gc(2) +
& rtwo*T00*fi(4)*fo(2)*gc(2) + fi(4)*gc(2)*(fo(1)*(ft(1,2)
&- cone*ft(1,3) + ft(2,1) - cone*ft(3,1)) +
& fo(2)*(-2*ft(1,1) - ft(1,4) - ft(4,1))) +
& fi(1)*gc(1)*(fo(4)*(-ft(1,2) - cone*ft(1,3) - ft(2,1)
&- cone*ft(3,1)) + fo(3)*(-2*ft(1,1) - ft(1,4) - ft(4,1))) +
& fi(3)*gc(2)*(fo(2)*(ft(1,2) + cone*ft(1,3) + ft(2,1)
&+ cone*ft(3,1)) + fo(1)*(-2*ft(1,1) + ft(1,4) + ft(4,1))) +
& fi(2)*gc(1)*(fo(3)*(-ft(1,2) + cone*ft(1,3) - ft(2,1)
& + cone*ft(3,1)) + fo(4)*(-2*ft(1,1) + ft(1,4) + ft(4,1)))
jiot(2) = -(rtwo*T00*fi(2)*fo(3)*gc(1))
& - rtwo*T00*fi(1)*fo(4)*gc(1)
& + rtwo*T00*fi(4)*fo(1)*gc(2) +
& rtwo*T00*fi(3)*fo(2)*gc(2) + fi(4)*gc(2)*(fo(1)*(2*ft(2,2)
&- cone*ft(2,3) - cone*ft(3,2)) +
& fo(2)*(-ft(1,2) - ft(2,1) - ft(2,4) - ft(4,2))) +
& fi(1)*gc(1)*(fo(4)*(-2*ft(2,2) - cone*ft(2,3) - cone*ft(3,2))
& + fo(3)*(-ft(1,2) - ft(2,1) - ft(2,4) - ft(4,2))) +
& fi(3)*gc(2)*(fo(2)*(2*ft(2,2) + cone*ft(2,3) + cone*ft(3,2))
& + fo(1)*(-ft(1,2) - ft(2,1) + ft(2,4) + ft(4,2))) +
& fi(2)*gc(1)*(fo(3)*(-2*ft(2,2) + cone*ft(2,3) + cone*ft(3,2))
&+ fo(4)*(-ft(1,2) - ft(2,1) + ft(2,4) + ft(4,2)))
jiot(3) = cone*rtwo*T00*fi(2)*fo(3)*gc(1)
& - cone*rtwo*T00*fi(1)*fo(4)*gc(1)
& - cone*rtwo*T00*fi(4)*fo(1)*gc(2) +
& cone*rtwo*T00*fi(3)*fo(2)*gc(2) + fi(4)*gc(2)*
& (fo(1)*(ft(2,3) + ft(3,2) - 2*cone*ft(3,3))
& + fo(2)*(-ft(1,3) - ft(3,1) - ft(3,4) - ft(4,3))) +
& fi(1)*gc(1)*(fo(4)*(-ft(2,3) - ft(3,2) - 2*cone*ft(3,3))
& + fo(3)*(-ft(1,3) - ft(3,1) - ft(3,4) - ft(4,3))) +
& fi(3)*gc(2)*(fo(2)*(ft(2,3) + ft(3,2) + 2*cone*ft(3,3))
&+ fo(1)*(-ft(1,3) - ft(3,1) + ft(3,4) + ft(4,3))) +
& fi(2)*gc(1)*(fo(3)*(-ft(2,3) - ft(3,2) + 2*cone*ft(3,3))
&+ fo(4)*(-ft(1,3) - ft(3,1) + ft(3,4) + ft(4,3)))
jiot(4) = -(rtwo*T00*fi(1)*fo(3)*gc(1))
& + rtwo*T00*fi(2)*fo(4)*gc(1) + rtwo*T00*fi(3)*fo(1)*gc(2) -
& rtwo*T00*fi(4)*fo(2)*gc(2) + fi(4)*gc(2)*(fo(1)*(ft(2,4)
&- cone*ft(3,4) + ft(4,2) - cone*ft(4,3)) +
& fo(2)*(-ft(1,4) - ft(4,1) - 2*ft(4,4))) +
& fi(1)*gc(1)*(fo(4)*(-ft(2,4) - cone*ft(3,4) - ft(4,2)
& - cone*ft(4,3)) + fo(3)*(-ft(1,4) - ft(4,1) - 2*ft(4,4))) +
& fi(3)*gc(2)*(fo(2)*(ft(2,4) + cone*ft(3,4) + ft(4,2)
& + cone*ft(4,3)) + fo(1)*(-ft(1,4) - ft(4,1) + 2*ft(4,4))) +
& fi(2)*gc(1)*(fo(3)*(-ft(2,4) + cone*ft(3,4) - ft(4,2)
&+ cone*ft(4,3)) + fo(4)*(-ft(1,4) - ft(4,1) + 2*ft(4,4)))
endif
do i = 1,4
jiot(i) = -jiot(i)*d*gt
end do
return
end
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