subroutine reals2(u,g1,d,t1,b1,g2,mq,ma,za,zb,amp) ************************************************************************ * * * AUTHORS: R. FREDERIX AND F. TRAMONTANO * * DATE : 7/16/2008 * * * ************************************************************************ c--- 0 -> u~ + g1 + d + t1 + b1~ + g2 (t-channel single-top) c--- where the g1 (g2) is the gluon attached to the massive (massless) quark c--- line. Arguments of amp are helicities of gluon1, top, bottom and gluon2, c--- respectively. Spin of top and bottom quarks should be projected on gluon1. c--- mq is the mass of the top quark and ma the mass of the bottom quark. implicit none include 'constants.f' include 'zprods_decl.f' include 'sprods_com.f' integer u,g1,g2,d,b1,t1 double precision g1g2b,g1g2t,g2b,g2t,mq,ma,mq2,ma2 double complex amp(2,2,2,2) mq2 = mq**2 ma2 = ma**2 g2b=s(g2,b1)/2d0+s(g1,g2)*ma2/2d0/s(g1,b1) g2t=s(g2,t1)/2d0+s(g1,g2)*mq2/2d0/s(g1,t1) g1g2b=s(g1,g2)/2d0+s(g1,b1)/2d0+g2b g1g2t=s(g1,g2)/2d0+s(g1,t1)/2d0+g2t amp(1,1,1,1)= & (mq*(2*g1g2b*za(g1,b1)*za(g1,t1)*zb(g1,b1)*zb(g1,t1)**2* & (-(g2b*za(d,g1)*za(g1,t1)* & (za(g1,g2)*zb(g1,g2) + za(g2,t1)*zb(g2,t1))* & zb(u,b1)) - & g1g2t*(za(d,t1)*za(g1,g2) - za(d,g2)*za(g1,t1))* & zb(g2,b1)*(za(g1,b1)*zb(u,b1) + za(g1,g2)*zb(u,g2)) & ) + s(g1,t1)* & (g1g2b*g2b*za(g1,b1)*za(g1,t1)* & (za(d,t1)*za(g1,g2) - za(d,g2)*za(g1,t1))* & zb(g1,b1)*zb(g1,t1)*zb(g2,t1)*zb(u,b1) + & za(d,g1)*(-(g1g2t*za(g1,b1)**2*za(g1,t1)* & zb(g1,b1)**2*zb(g1,t1)* & ((dcmplx(g2b)+ za(g2,b1)*zb(g2,b1))*zb(u,b1) - & za(g1,g2)*zb(g2,b1)*zb(u,g1))) - & g1g2t*ma2*za(g1,g2)*za(g1,t1)*zb(g1,t1)* & ((-dcmplx(g2b)+ za(g1,g2)*zb(g1,g2))*zb(g2,b1)* & zb(u,g1) + g2b*zb(g1,b1)*zb(u,g2)) + & za(g1,b1)*zb(g1,b1)* & (g2b*za(g1,t1)*zb(g1,t1)* & (g1g2b*za(g1,t1)*zb(g1,t1) + & g1g2t*za(g2,b1)*zb(g2,b1))*zb(u,b1) + & g1g2t*za(g1,g2)**2*za(g1,t1)*zb(g1,g2)* & zb(g1,t1)*zb(g2,b1)*zb(u,g1) + & za(g1,g2)* & (zb(g1,g2)* & (dcmplx(g1g2b*g2b*mq2) - & za(g1,t1)*zb(g1,t1)* & (g1g2b*dcmplx(g2b)+ g1g2t*za(g2,b1)*zb(g2,b1)) & )*zb(u,b1) - & g1g2t*g2b*za(g1,t1)*zb(g1,t1)* & (zb(g2,b1)*zb(u,g1) + zb(g1,b1)*zb(u,g2))) & )))))/ & (2d0*za(g1,b1)*za(g1,g2)**2*za(g1,t1)**2*zb(g1,b1)* & zb(g1,t1)) amp(1,1,1,2)= & (mq*(-2*g1g2b*zb(g1,t1)* & (za(d,t1)*za(g1,g2)* & (-(g1g2t*za(g2,b1)*zb(g1,b1)) + & g2b*za(g2,t1)*zb(g1,t1)) + & za(d,g2)*(g2b*za(g1,g2)*za(g2,t1)*zb(g1,g2) + & za(g1,t1)* & (g1g2t*za(g2,b1)*zb(g1,b1) - & g2b*za(g2,t1)*zb(g1,t1))))*zb(u,b1) + & g1g2t*s(g1,t1)*za(d,g1)*za(g2,b1)*zb(g1,b1)**2* & (za(g2,b1)*zb(u,b1) - za(g1,g2)*zb(u,g1))))/ & (2d0*za(g1,g2)*za(g1,t1)*zb(g1,g2)) amp(1,1,2,1)= & -(ma*mq*(2*g1g2b*za(g1,b1)*za(g1,t1)*zb(g1,b1)* & zb(g1,t1)**2*(-(g1g2t*za(d,t1)*za(g1,g2)* & (za(g1,g2)*zb(g1,g2)*zb(u,g2) + & za(g1,b1)* & (zb(g1,g2)*zb(u,b1) - zb(g1,b1)*zb(u,g2)))) & + za(g1,t1)* & (g2b*za(d,g1)* & (za(g1,g2)*zb(g1,g2) + za(g2,t1)*zb(g2,t1))* & zb(u,g1) + & g1g2t*za(d,g2)* & (za(g1,g2)*zb(g1,g2)*zb(u,g2) + & za(g1,b1)* & (zb(g1,g2)*zb(u,b1) - zb(g1,b1)*zb(u,g2))))) & + s(g1,t1)*(g1g2b*g2b*za(g1,b1)*za(g1,t1)* & (-(za(d,t1)*za(g1,g2)) + za(d,g2)*za(g1,t1))* & zb(g1,b1)*zb(g1,t1)*zb(g2,t1)*zb(u,g1) + & za(d,g1)*(g1g2t*ma2*za(g1,g2)*za(g1,t1)*zb(g1,g2)* & (dcmplx(g2b) - za(g1,g2)*zb(g1,g2))*zb(g1,t1)*zb(u,g1) & + g1g2t*za(g1,b1)**2*za(g1,t1)*zb(g1,b1)**2* & zb(g1,t1)*(dcmplx(g2b)+ za(g2,b1)*zb(g2,b1))*zb(u,g1) & - za(g1,b1)*zb(g1,b1)* & (g1g2b*g2b*mq2*za(g1,g2)*zb(g1,g2)*zb(u,g1) + & g1g2b*g2b*za(g1,t1)**2*zb(g1,t1)**2* & zb(u,g1) + & za(g1,t1)*zb(g1,t1)* & (-(za(g1,g2)*zb(g1,g2)* & ((g1g2b - g1g2t)*dcmplx(g2b)+ & g1g2t*za(g1,g2)*zb(g1,g2))*zb(u,g1)) & + g1g2t*za(g2,b1)* & (zb(g1,g2)*(-dcmplx(g2b)+ za(g1,g2)*zb(g1,g2))* & zb(u,b1) + g2b*zb(g1,b1)*zb(u,g2)))))) & ))/ & (2d0*za(g1,b1)*za(g1,g2)**2*za(g1,t1)**2*zb(g1,b1)**2* & zb(g1,t1)) amp(1,1,2,2)= & (ma*mq*(g1g2t*s(g1,t1)*za(d,g1)*za(g2,b1)**2* & zb(g1,b1)**2 - & 2*g1g2b*zb(g1,t1)* & (za(d,t1)*za(g1,g2)* & (-(g1g2t*za(g2,b1)*zb(g1,b1)) + & g2b*za(g2,t1)*zb(g1,t1)) + & za(d,g2)*(g2b*za(g1,g2)*za(g2,t1)*zb(g1,g2) + & za(g1,t1)* & (g1g2t*za(g2,b1)*zb(g1,b1) - & g2b*za(g2,t1)*zb(g1,t1)))))*zb(u,g1))/ & (2d0*za(g1,g2)*za(g1,t1)*zb(g1,b1)*zb(g1,g2)) amp(1,2,1,1)= & (2*g1g2b*za(g1,b1)*za(g1,t1)*za(g2,t1)*zb(g1,b1)* & zb(g1,t1)**2*(g2b*za(d,g1)*za(g1,t1)*zb(g1,g2)* & zb(u,b1) + za(d,t1)* & ((g1g2t*za(g1,b1)*zb(g2,b1) - & g2b*za(g1,t1)*zb(g2,t1))*zb(u,b1) + & g1g2t*za(g1,g2)*zb(g2,b1)*zb(u,g2))) + & s(g1,t1)*(g1g2b*g2b*za(d,g1)*za(g1,b1)*za(g2,t1)* & zb(g1,b1)*zb(g1,g2)*(-dcmplx(mq2) + za(g1,t1)*zb(g1,t1))* & zb(u,b1) + g1g2b*g2b*za(d,g2)*za(g1,b1)*za(g1,t1)* & zb(g1,b1)*zb(g1,g2)*(dcmplx(mq2) + za(g1,t1)*zb(g1,t1))* & zb(u,b1) - za(d,t1)*za(g1,t1)*zb(g1,t1)* & (g1g2t*za(g1,b1)**2*zb(g1,b1)**2* & ((dcmplx(g2b)+ za(g2,b1)*zb(g2,b1))*zb(u,b1) - & za(g1,g2)*zb(g2,b1)*zb(u,g1)) + & g1g2t*ma2*za(g1,g2)* & ((-dcmplx(g2b)+ za(g1,g2)*zb(g1,g2))*zb(g2,b1)* & zb(u,g1) + g2b*zb(g1,b1)*zb(u,g2)) + & za(g1,b1)*zb(g1,b1)* & (-(g1g2b*g2b*za(g1,t1)*zb(g1,t1)*zb(u,b1)) + & g1g2t*za(g2,b1)*(-dcmplx(g2b)+ za(g1,g2)*zb(g1,g2))* & zb(g2,b1)*zb(u,b1) + & g1g2b*g2b*za(g2,t1)*zb(g2,t1)*zb(u,b1) + & g1g2t*za(g1,g2)* & ((dcmplx(g2b) - za(g1,g2)*zb(g1,g2))*zb(g2,b1)* & zb(u,g1) + g2b*zb(g1,b1)*zb(u,g2))))))/ & (2d0*za(g1,b1)*za(g1,g2)**2*za(g1,t1)*zb(g1,b1)*zb(g1,t1)) amp(1,2,1,2)= & (2*g1g2b*za(g2,t1)*zb(g1,t1)* & (g2b*za(d,g2)*za(g2,t1)*zb(g1,g2) + & za(d,t1)*(-(g1g2t*za(g2,b1)*zb(g1,b1)) + & g2b*za(g2,t1)*zb(g1,t1)))*zb(u,b1) + & g1g2t*s(g1,t1)*za(d,t1)*za(g2,b1)*zb(g1,b1)**2* & (za(g2,b1)*zb(u,b1) - za(g1,g2)*zb(u,g1)))/ & (2d0*za(g1,g2)*zb(g1,g2)) amp(1,2,2,1)= & (ma*(2*g1g2b*za(g1,b1)*za(g1,t1)*za(g2,t1)*zb(g1,b1)* & zb(g1,t1)**2*(g2b*za(d,g1)*za(g1,t1)*zb(g1,g2)* & zb(u,g1) - za(d,t1)* & (g2b*za(g1,t1)*zb(g2,t1)*zb(u,g1) + & g1g2t*za(g1,g2)*zb(g1,g2)*zb(u,g2) + & g1g2t*za(g1,b1)* & (zb(g1,g2)*zb(u,b1) - zb(g1,b1)*zb(u,g2)))) + & s(g1,t1)*(g1g2b*g2b*za(g1,b1)*zb(g1,b1)*zb(g1,g2)* & (za(d,g1)*za(g2,t1)*(-dcmplx(mq2) + za(g1,t1)*zb(g1,t1)) + & za(d,g2)*za(g1,t1)*(dcmplx(mq2) + za(g1,t1)*zb(g1,t1)))* & zb(u,g1) + za(d,t1)*za(g1,t1)*zb(g1,t1)* & (g1g2t*ma2*za(g1,g2)*zb(g1,g2)* & (-dcmplx(g2b)+ za(g1,g2)*zb(g1,g2))*zb(u,g1) - & g1g2t*za(g1,b1)**2*zb(g1,b1)**2* & (dcmplx(g2b)+ za(g2,b1)*zb(g2,b1))*zb(u,g1) + & za(g1,b1)*zb(g1,b1)* & ((g1g2t*g2b*za(g1,g2)*zb(g1,g2) - & g1g2t*za(g1,g2)**2*zb(g1,g2)**2 + & g1g2b*g2b* & (za(g1,t1)*zb(g1,t1) - & za(g2,t1)*zb(g2,t1)))*zb(u,g1) + & g1g2t*za(g2,b1)* & (zb(g1,g2)*(-dcmplx(g2b)+ za(g1,g2)*zb(g1,g2))* & zb(u,b1) + g2b*zb(g1,b1)*zb(u,g2)))))))/ & (2d0*za(g1,b1)*za(g1,g2)**2*za(g1,t1)*zb(g1,b1)**2* & zb(g1,t1)) amp(1,2,2,2)= & (ma*(g1g2t*s(g1,t1)*za(d,t1)*za(g2,b1)**2*zb(g1,b1)**2 + & 2*g1g2b*za(g2,t1)*zb(g1,t1)* & (g2b*za(d,g2)*za(g2,t1)*zb(g1,g2) + & za(d,t1)*(-(g1g2t*za(g2,b1)*zb(g1,b1)) + & g2b*za(g2,t1)*zb(g1,t1))))*zb(u,g1))/ & (2d0*za(g1,g2)*zb(g1,b1)*zb(g1,g2)) amp(2,1,1,1)= & (mq*za(d,g1)*(g1g2t*s(g1,t1)*za(g1,b1)*zb(g2,b1)**2* & (za(g1,b1)*zb(u,b1) + za(g1,g2)*zb(u,g2)) + & 2*g1g2b*za(g1,t1)*zb(g2,t1)* & (-(g1g2t*za(g1,b1)*zb(g2,b1)*zb(u,b1)) + & g2b*za(g1,t1)*zb(g2,t1)*zb(u,b1) - & g1g2t*za(g1,g2)*zb(g2,b1)*zb(u,g2))))/ & (2d0*za(g1,g2)*za(g1,t1)*zb(g1,g2)) amp(2,1,1,2)= & (mq*(2*g1g2b*za(g1,b1)*za(g1,t1)**2*zb(g1,b1)*zb(g1,t1)* & (g1g2t*za(d,g1)*za(g2,b1)*zb(g1,b1) + & g2b*za(d,g2)*za(g1,g2)*zb(g1,g2) + & g2b*(za(d,t1)*za(g1,g2) - za(d,g2)*za(g1,t1))* & zb(g1,t1))*zb(g2,t1)*zb(u,b1) + & s(g1,t1)*(g1g2b*g2b*za(g1,b1)*za(g1,t1)* & (za(d,t1)*za(g1,g2) - za(d,g2)*za(g1,t1))* & zb(g1,b1)*zb(g1,t1)*zb(g2,t1)*zb(u,b1) + & za(d,g1)*(-(g1g2t*za(g1,b1)**2*za(g1,t1)* & zb(g1,b1)**2*zb(g1,t1)* & (dcmplx(g2b)+ za(g2,b1)*zb(g2,b1))*zb(u,b1)) + & g1g2t*ma2*za(g1,g2)*za(g1,t1)*zb(g1,t1)* & (g2b*zb(g2,b1)*zb(u,g1) + & zb(g1,b1)*(-dcmplx(g2b)+ za(g1,g2)*zb(g1,g2))* & zb(u,g2)) - & za(g1,b1)*zb(g1,b1)* & (-(g2b*za(g1,t1)*zb(g1,t1)* & (g1g2b*za(g1,t1)*zb(g1,t1) + & g1g2t*za(g2,b1)*zb(g2,b1))*zb(u,b1)) + & za(g1,g2)* & (g1g2b*g2b*zb(g1,g2)* & (-dcmplx(mq2) + za(g1,t1)*zb(g1,t1))*zb(u,b1) + & g1g2t*za(g1,t1)*zb(g1,t1)* & (g2b*zb(g2,b1)*zb(u,g1) + & zb(g1,b1)*(dcmplx(g2b)+ za(g2,b1)*zb(g2,b1))* & zb(u,g2))))))))/ & (2d0*za(g1,b1)*za(g1,t1)**2*zb(g1,b1)*zb(g1,g2)**2* & zb(g1,t1)) amp(2,1,2,1)= & (ma*mq*za(d,g1)*(-(g1g2t*s(g1,t1)*za(g1,b1)*zb(g2,b1)* & (za(g1,g2)*zb(g1,g2)*zb(u,g2) + & za(g1,b1)*(zb(g1,g2)*zb(u,b1) - & zb(g1,b1)*zb(u,g2)))) + & 2*g1g2b*za(g1,t1)*zb(g2,t1)* & (g2b*za(g1,t1)*zb(g2,t1)*zb(u,g1) + & g1g2t*za(g1,g2)*zb(g1,g2)*zb(u,g2) + & g1g2t*za(g1,b1)* & (zb(g1,g2)*zb(u,b1) - zb(g1,b1)*zb(u,g2)))))/ & (2d0*za(g1,g2)*za(g1,t1)*zb(g1,b1)*zb(g1,g2)) amp(2,1,2,2)= & (ma*mq*(2*g1g2b*za(g1,b1)*za(g1,t1)**2*zb(g1,b1)* & zb(g1,t1)*(g1g2t*za(d,g1)*za(g2,b1)*zb(g1,b1) + & g2b*za(d,g2)*za(g1,g2)*zb(g1,g2) + & g2b*(za(d,t1)*za(g1,g2) - za(d,g2)*za(g1,t1))* & zb(g1,t1))*zb(g2,t1)*zb(u,g1) + & s(g1,t1)*(g1g2b*g2b*za(g1,b1)*za(g1,t1)* & (za(d,t1)*za(g1,g2) - za(d,g2)*za(g1,t1))* & zb(g1,b1)*zb(g1,t1)*zb(g2,t1)*zb(u,g1) + & za(d,g1)*(-(g1g2t*g2b*ma2*za(g1,g2)*za(g1,t1)* & zb(g1,g2)*zb(g1,t1)*zb(u,g1)) - & g1g2t*za(g1,b1)**2*za(g1,t1)*zb(g1,b1)**2* & zb(g1,t1)* & (g2b*zb(u,g1) + & za(g2,b1)* & (-(zb(g1,g2)*zb(u,b1)) + zb(g1,b1)*zb(u,g2))) & + g2b*za(g1,b1)*zb(g1,b1)* & (g1g2b*mq2*za(g1,g2)*zb(g1,g2)*zb(u,g1) + & g1g2b*za(g1,t1)**2*zb(g1,t1)**2*zb(u,g1) + & za(g1,t1)*zb(g1,t1)* & ((-g1g2b + g1g2t)*za(g1,g2)*zb(g1,g2)* & zb(u,g1) + & g1g2t*za(g2,b1)* & (-(zb(g1,g2)*zb(u,b1)) + & zb(g1,b1)*zb(u,g2))))))))/ & (2d0*za(g1,b1)*za(g1,t1)**2*zb(g1,b1)**2*zb(g1,g2)**2* & zb(g1,t1)) amp(2,2,1,1)= & (2*g1g2b*za(d,g1)*za(g1,t1)*zb(g1,g2)* & ((g1g2t*za(g1,b1)*zb(g2,b1) - g2b*za(g1,t1)*zb(g2,t1))* & zb(u,b1) + g1g2t*za(g1,g2)*zb(g2,b1)*zb(u,g2)) + & za(d,t1)*(g1g2t*s(g1,t1)*za(g1,b1)*zb(g2,b1)**2* & (za(g1,b1)*zb(u,b1) + za(g1,g2)*zb(u,g2)) + & 2*g1g2b*za(g1,t1)*zb(g2,t1)* & (-(g1g2t*za(g1,b1)*zb(g2,b1)*zb(u,b1)) + & g2b*za(g1,t1)*zb(g2,t1)*zb(u,b1) - & g1g2t*za(g1,g2)*zb(g2,b1)*zb(u,g2))))/ & (2d0*za(g1,g2)*zb(g1,g2)) amp(2,2,1,2)= & (-2*g1g2b*za(g1,b1)*za(g1,t1)**2*zb(g1,b1)*zb(g1,t1)* & (g1g2t*za(d,g1)*za(g2,b1)*zb(g1,b1)*zb(g1,g2) + & g2b*za(d,g2)*zb(g1,g2)* & (za(g1,g2)*zb(g1,g2) + za(g2,t1)*zb(g2,t1)) + & za(d,t1)*(-(g1g2t*za(g2,b1)*zb(g1,b1)*zb(g2,t1)) + & g2b*zb(g1,t1)* & (za(g1,g2)*zb(g1,g2) + za(g2,t1)*zb(g2,t1))))* & zb(u,b1) + s(g1,t1)* & (g1g2b*g2b*za(d,g1)*za(g1,b1)*za(g2,t1)*zb(g1,b1)* & zb(g1,g2)*(-dcmplx(mq2) + za(g1,t1)*zb(g1,t1))*zb(u,b1) + & g1g2b*g2b*za(d,g2)*za(g1,b1)*za(g1,t1)*zb(g1,b1)* & zb(g1,g2)*(dcmplx(mq2) + za(g1,t1)*zb(g1,t1))*zb(u,b1) + & za(d,t1)*za(g1,t1)*zb(g1,t1)* & (-(g1g2t*za(g1,b1)**2*zb(g1,b1)**2* & (dcmplx(g2b)+ za(g2,b1)*zb(g2,b1))*zb(u,b1)) + & g1g2t*ma2*za(g1,g2)* & (g2b*zb(g2,b1)*zb(u,g1) + & zb(g1,b1)*(-dcmplx(g2b)+ za(g1,g2)*zb(g1,g2))*zb(u,g2)) & - za(g1,b1)*zb(g1,b1)* & (-(g2b*(g1g2b*za(g1,t1)*zb(g1,t1) + & g1g2t*za(g2,b1)*zb(g2,b1) - & g1g2b*za(g2,t1)*zb(g2,t1))*zb(u,b1)) + & g1g2t*g2b*za(g1,g2)*zb(g2,b1)*zb(u,g1) + & g1g2t*za(g1,g2)*zb(g1,b1)* & (dcmplx(g2b)+ za(g2,b1)*zb(g2,b1))*zb(u,g2)))))/ & (2d0*za(g1,b1)*za(g1,t1)*zb(g1,b1)*zb(g1,g2)**2*zb(g1,t1)) amp(2,2,2,1)= & -(ma*(2*g1g2b*za(d,g1)*za(g1,t1)*zb(g1,g2)* & (g2b*za(g1,t1)*zb(g2,t1)*zb(u,g1) + & g1g2t*za(g1,g2)*zb(g1,g2)*zb(u,g2) + & g1g2t*za(g1,b1)* & (zb(g1,g2)*zb(u,b1) - zb(g1,b1)*zb(u,g2))) + & za(d,t1)*(g1g2t*s(g1,t1)*za(g1,b1)*zb(g2,b1)* & (za(g1,g2)*zb(g1,g2)*zb(u,g2) + & za(g1,b1)* & (zb(g1,g2)*zb(u,b1) - zb(g1,b1)*zb(u,g2))) - & 2*g1g2b*za(g1,t1)*zb(g2,t1)* & (g2b*za(g1,t1)*zb(g2,t1)*zb(u,g1) + & g1g2t*za(g1,g2)*zb(g1,g2)*zb(u,g2) + & g1g2t*za(g1,b1)* & (zb(g1,g2)*zb(u,b1) - zb(g1,b1)*zb(u,g2))))))/ & (2d0*za(g1,g2)*zb(g1,b1)*zb(g1,g2)) amp(2,2,2,2)= & -(ma*(2*g1g2b*za(g1,b1)*za(g1,t1)**2*zb(g1,b1)*zb(g1,t1)* & (g1g2t*za(d,g1)*za(g2,b1)*zb(g1,b1)*zb(g1,g2) + & g2b*za(d,g2)*zb(g1,g2)* & (za(g1,g2)*zb(g1,g2) + za(g2,t1)*zb(g2,t1)) + & za(d,t1)*(-(g1g2t*za(g2,b1)*zb(g1,b1)*zb(g2,t1)) + & g2b*zb(g1,t1)* & (za(g1,g2)*zb(g1,g2) + za(g2,t1)*zb(g2,t1))))* & zb(u,g1) + s(g1,t1)* & (-(g1g2b*g2b*za(g1,b1)*zb(g1,b1)*zb(g1,g2)* & (za(d,g1)*za(g2,t1)* & (-dcmplx(mq2) + za(g1,t1)*zb(g1,t1)) + & za(d,g2)*za(g1,t1)*(dcmplx(mq2) + za(g1,t1)*zb(g1,t1)) & )*zb(u,g1)) + & za(d,t1)*za(g1,t1)*zb(g1,t1)* & (g1g2t*g2b*ma2*za(g1,g2)*zb(g1,g2)*zb(u,g1) + & g1g2t*za(g1,b1)**2*zb(g1,b1)**2* & (g2b*zb(u,g1) + & za(g2,b1)* & (-(zb(g1,g2)*zb(u,b1)) + zb(g1,b1)*zb(u,g2)) & ) - g2b*za(g1,b1)*zb(g1,b1)* & ((g1g2t*za(g1,g2)*zb(g1,g2) + & g1g2b*za(g1,t1)*zb(g1,t1) - & g1g2b*za(g2,t1)*zb(g2,t1))*zb(u,g1) + & g1g2t*za(g2,b1)* & (-(zb(g1,g2)*zb(u,b1)) + zb(g1,b1)*zb(u,g2)) & )))))/ & (2d0*za(g1,b1)*za(g1,t1)*zb(g1,b1)**2*zb(g1,g2)**2* & zb(g1,t1)) return end