Twistor-inspired construction of massive quark amplitudes

Abstract

The analog of the Cachazo-Svrvcek-Witten rules for scattering amplitudes with massive quarks is derived following an approach previously employed for amplitudes with massive scalars. A prescription for the external wave-functions is given that leads to a one-to one relation between fields in the action and spin-states of massive quarks. Several examples for the application of the rules are given and the structure of some all-multiplicity amplitudes with a pair of massive quarks is discussed. The rules make supersymmetric relations to amplitudes with massive scalars manifest at the level of the action. The formalism is extended to several quark flavors with different masses.

34 pages, 5 figures, v2: published version, minor improvements to text

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• The MHV Lagrangian for a spontaneously broken gauge theory
• Recursion relations for the general tree-level amplitudes in QCD with massive dirac fields
• Spinor formalism for massive fields with half-integral spin
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• Holonomies of gauge fields in twistor space 7: an electroweak model
• A Tale Of Two Amplitudes In High Energy Physics
• Complexified Ward Identity in pure Yang-Mills theory at tree-level