c--- File written by FORM program tdecay_v.frm on Thu Mar 1 14:02:55 CST 2012 subroutine tdecay_v(p,pqq,pqb,pb,m) implicit none ************************************************************************ * Author: R.K. Ellis, January 2012 * * Virtual corrections to * * top decay t --> q(pqq)+qb(pqb)+b(pb) * * with bottom and top masses (and no radiation) * * and with overall factor of (4 pi)^e/Gamma(1-e) * * in massless spinor notation * * pe,pnb,pc are integers that point to * * the appropriate four-momenta in p * * pqq=quark * * pqb=antiquark * * pb=bottom quark * * q(t) is rendered massless wrt to pqb * * q(b) is rendered massless wrt to pqq * * returned m(bpol,tpol) * ************************************************************************ include 'constants.f' include 'zprods_decl.f' include 'sprods_com.f' include 'masses.f' include 'qcdcouple.f' double precision p(mxpart,4),q(mxpart,4),dot,sw,alt,alb,ctm, & nloratiotopdecay,corr double complex m(2,2),cprop, & c0L,c0R,c1L,c1R,c1Lon2,c1Ron2,iza,izb integer qq,qb,b,t,si,pb,pqq,pqb,aa,bb parameter(t=1,qq=3,qb=4,b=2) iza(aa,bb)=cone/za(aa,bb) izb(aa,bb)=cone/zb(aa,bb) corr=nloratiotopdecay(mt,mb,wmass,wwidth)/(cf*ason2pi) do si=1,4 q(t,si)=p(pqq,si)+p(pqb,si)+p(pb,si) q(qq,si)=p(pqq,si) q(qb,si)=p(pqb,si) q(b,si)=p(pb,si) enddo alt=mt**2/(2d0*dot(q,t,qb)) alb=mb**2/(2d0*dot(q,b,qq)) do si=1,4 q(t,si)=q(t,si)-alt*q(qb,si) q(b,si)=q(b,si)-alb*q(qq,si) enddo call spinoru(4,q,za,zb) sw=s(qq,qb) call coefsdkmass(sw,mt,mb,ctm,c0L,c0R,c1L,c1R) c0L=c0L+dcmplx(ctm)-corr c1Lon2=c1L/2d0 c1Ron2=c1R/2d0 cprop=dcmplx(sw-wmass**2,wmass*wwidth) C---order of polarizations is m(bpol,tpol) m(1,1)= + cprop**(-1)*mt**(-1)*mb * ( - za(qq,b)*zb(qq,t)*zb(qb, & b)*izb(qq,b)*c1Lon2 ) m(1,1) = m(1,1) + cprop**(-1) * ( - za(qq,b)*za(qb,b)*zb(qb,b)* & iza(qb,t)*c1Ron2 - za(qq,b)*zb(qb,t)*c0L ) m(1,1) = m(1,1) + cprop**(-1)*mt*mb * ( - za(qq,qb)*zb(qq,qb)* & iza(qb,t)*izb(qq,b)*c0R ) m(1,2)= + cprop**(-1)*mt**(-1) * ( - za(qq,b)*za(b,t)*zb(qb,b)* & c1Ron2 ) m(1,2) = m(1,2) + cprop**(-1)*mb * ( za(qq,b)*zb(qq,qb)*zb(qb,b)* & izb(qq,b)*izb(qb,t)*c1Lon2 + za(qq,t)*zb(qq,qb)*izb(qq,b)*c0R & ) m(2,1)= + cprop**(-1)*mt**(-1) * ( - za(qq,b)*zb(qb,b)*zb(b,t)* & c1Lon2 ) m(2,1) = m(2,1) + cprop**(-1)*mb * ( za(qq,qb)*zb(qb,b)*iza(qb,t) & *c1Ron2 ) m(2,1) = m(2,1) + cprop**(-1)*mt * ( za(qq,qb)*zb(qb,b)*iza(qb,t) & *c0R ) m(2,2)= + cprop**(-1)*mt**(-1)*mb * ( - za(qq,t)*zb(qb,b)*c1Ron2 & ) m(2,2) = m(2,2) + cprop**(-1) * ( - za(qq,b)*zb(qb,b)**2*izb(qb, & t)*c1Lon2 - za(qq,t)*zb(qb,b)*c0R ) return end