Weyl-van-der-Waerden formalism for helicity amplitudes of massive particles

Details Weyl-van-der-Waerden formalism for helicity amplitudes of massive particles Weyl-van-der-Waerden formalism for helicity amplitudes of massive particles

1998-05-25

arxiv.org/abs/hep-ph/9805445v1

Phys.Rev.D59:016007,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, latex

Scientific paper

10.1103/PhysRevD.59.016007

The Weyl-van-der-Waerden spinor technique for calculating helicity amplitudes of massive and massless particles is presented in a form that is particularly well suited to a direct implementation in computer algebra. Moreover, we explain how to exploit discrete symmetries and how to avoid unphysical poles in amplitudes in practice. The efficiency of the formalism is demonstrated by giving explicit compact results for the helicity amplitudes of the processes gamma gamma -> f fbar, f fbar -> gamma gamma gamma, mu^- mu^+ -> f fbar gamma.

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