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arXiv:hep-ph/0703021·v2·High Energy Physics — Phenomenology

On-shell recursion relations for all Born QCD amplitudes

Christian Schwinn🇩🇪 · Stefan Weinzierl🇩🇪

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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

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