Scattering amplitudes with massive fermions using BCFW recursion

Details Scattering amplitudes with massive fermions using BCFW recursion Scattering amplitudes with massive fermions using BCFW recursion

2006-03-09

arxiv.org/abs/hep-ph/0603071v1

Eur.Phys.J.C48:159-168,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages

Scientific paper

10.1140/epjc/s10052-006-0007-7

We study the QCD scattering amplitudes for \bar{q}q \to gg and \bar{q}q \to ggg where q is a massive fermion. Using a particular choice of massive fermion spinor we are able to derive very compact expressions for the partial spin amplitudes for the 2 \to 2 process. We then investigate the corresponding 2 \to 3 amplitudes using the BCFW recursion technique. For the helicity conserving partial amplitudes we again derive very compact expressions, but were unable to treat the helicity-flip amplitudes recursively, except for the case where all the gluon helicities are the same. We therefore evaluate the remaining partial amplitudes using standard Feynman diagram techniques.

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