subroutine tdecayWg(p,pqq,pqb,pb,pg,m) implicit none ************************************************************************ * Author: R.K. Ellis, January 2012 * * top decay t --> q(pqq)+qb(pb)+b(pb)+g(pg) * * with bottom and top masses (radiation from decay products of W * * in massless spinor notation * * pqq,pqb,pb,pg are integers that point to * * the appropriate four-momenta in p * * pqq=quark * * pqb=antiquark * * pb=bottom quark * * pg=gluon * * q(t) is rendered massless wrt to pqb * * q(b) is rendered massless wrt to pqq * * returned m(bpol,gpol,tpol) * ************************************************************************ include 'constants.f' include 'zprods_decl.f' include 'sprods_com.f' include 'masses.f' double precision p(mxpart,4),q(mxpart,4),dot,sw,altg,alb double complex m(2,2,2),cprop integer qq,qb,b,g,tg,nu,pb,pqq,pqb,pg parameter(tg=1,g=2,qq=3,qb=4,b=5) do nu=1,4 q(tg,nu)=p(pqq,nu)+p(pqb,nu)+p(pb,nu)+p(pg,nu) q(g,nu)=p(pg,nu) q(qq,nu)=p(pqq,nu) q(qb,nu)=p(pqb,nu) q(b,nu)=p(pb,nu) enddo altg=mt**2/(2d0*dot(q,tg,qb)) alb=mb**2/(2d0*dot(q,b,qq)) do nu=1,4 q(tg,nu)=q(tg,nu)-altg*q(qb,nu) q(b,nu)=q(b,nu)-alb*q(qq,nu) enddo call spinoru(5,q,za,zb) sw=s(qq,qb)+s(qb,g)+s(qq,g) cprop=dcmplx(sw-wmass**2,wmass*wwidth) C---order of polarizations is the m(bpol,gpol,tpol) m(1,1,1)= + za(qq,b)*zb(qq,qb)*zb(qb,tg)/zb(qq,g)/zb(qb,g)* & cprop**(-1) + za(b,g)*zb(qb,tg)/zb(qq,g)*cprop**(-1) m(1,2,1)= - za(qq,qb)*za(qq,b)*zb(qb,tg)/za(qq,g)/za(qb,g)* & cprop**(-1) - za(qq,b)*zb(g,tg)/za(qb,g)*cprop**(-1) m(2,1,1)= + mb * ( za(qq,g)*zb(qb,tg)/za(qq,b)/zb(qq,g)* & cprop**(-1) ) m(2,2,1)=czip m(1,1,2)=czip m(1,2,2)= + mt * ( - za(qq,b)*zb(qb,g)/za(qb,g)/zb(qb,tg)* & cprop**(-1) ) m(2,1,2)=czip m(2,2,2)=czip return end