English

Scattering amplitudes with massive fermions using BCFW recursion

High Energy Physics - Phenomenology 2009-01-07 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-ph/0603071,
  title  = {Scattering amplitudes with massive fermions using BCFW recursion},
  author = {K. J. Ozeren and W. J. Stirling},
  journal= {arXiv preprint arXiv:hep-ph/0603071},
  year   = {2009}
}

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21 pages