Physics Asked by Jupith on September 30, 2020
I am trying to calculate the cross-section for electron-positron annihilation into a quark-antiquark pair and a gluon. I find that I need a relative minus sign between the two contributing diagrams in order to have $ q_{mu} H^{munu}=0$ with $H^{munu}$ being the hadronic trace and thus conserve the vector current. Can someone tell me where this minus sign comes from? I cannot see where any fermion positions are interchanged here.
If you look over the two first diagrams attached by J-T, you will see that they really are interchanging their quark-antiquark lines (instead of changing gluon line), what implies that lovely minus sign.
Answered by Jordi Llusar on September 30, 2020
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