On-shell recursion relations for all Born QCD amplitudes

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.

30 pages, minor changes

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• An Introduction to On-shell Recursion Relations
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• Massive Quark-Gluon Scattering Amplitudes at Tree Level
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• All-multiplicity amplitudes with four massive quarks and identical-helicity gluons
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• Hard QCD at hadron colliders
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• Spinor formalism for massive fields with half-integral spin
• Top Quark Amplitudes with an Anomalous Magnetic Moment
• An Introduction to the Massive Helicity Formalism with applications to the Electroweak SM
• Boundary Behaviors for General Off-shell Amplitudes in Yang-Mills Theory
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• Shifts in BCFW method for QED