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Help with electron positron annihilation into W bosons

  1. Dec 7, 2009 #1
    Hello,

    Can anybody help me with this? In electron positron annihilation to vector boson production, if we assume the electron is massless, how can I get the amplitude which looks like this:

    (V bar for incoming positron)*(gamma) *(U for incoming electron)* (propagator) *[ (q+k2)_a * g_uv + (k1-k2)_u * g_va + (-k1-q)_v * g_au]


    here q is the momentum of the incoming photon at the boson, photon vertex, and k1 and k2 are the momenta of the outgoing bosons. here _a means subscript a and g_uv is the metric.

    to look like this:

    (V bar for incoming positron)*(gamma) *(U for incoming electron)* (propagator) *[ 2(q)_a * g_uv + (k1-k2)_u *g_va - 2(q)_v * g_au]



    Thanks!
     
  2. jcsd
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