arXiv:hep-ph/0703021·v2·High Energy Physics — Phenomenology
On-shell recursion relations for all Born QCD amplitudes
Christian Schwinn🇩🇪 · Stefan Weinzierl🇩🇪
Abstract
We consider on-shell recursion relations for all Born QCD amplitudes. This includes amplitudes with several pairs of quarks and massive quarks. We give a detailed description on how to shift the external particles in spinor space and clarify the allowed helicities of the shifted legs. We proof that the corresponding meromorphic functions vanish at z --> infinity. As an application we obtain compact expressions for helicity amplitudes including a pair of massive quarks, one negative helicity gluon and an arbitrary number of positive helicity gluons.
Comments: 30 pages, minor changes