Scattering amplitudes with massive fermions using BCFW recursion

Abstract

We study the QCD scattering amplitudes for \bar{q}q \to gg and \bar{q}q \to ggg where q is a massive fermion. Using a particular choice of massive fermion spinor we are able to derive very compact expressions for the partial spin amplitudes for the 2 \to 2 process. We then investigate the corresponding 2 \to 3 amplitudes using the BCFW recursion technique. For the helicity conserving partial amplitudes we again derive very compact expressions, but were unable to treat the helicity-flip amplitudes recursively, except for the case where all the gluon helicities are the same. We therefore evaluate the remaining partial amplitudes using standard Feynman diagram techniques.

21 pages

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Cited by in corpus (23)

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• On-Shell Methods in Perturbative QCD
• Helicity Selection Rules and Non-Interference for BSM Amplitudes
• S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
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• Helicity amplitudes for QCD with massive quarks
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• On-Shell Electroweak Sector and the Higgs Mechanism
• Recursion relations for scattering amplitudes with massive particles
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• External leg corrections in the unitarity method
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• On-shell recursion for massive fermion currents
• Twistor-inspired construction of massive quark amplitudes
• The MHV Lagrangian for a spontaneously broken gauge theory
• Recursion relations for the general tree-level amplitudes in QCD with massive dirac fields
• Multigluon tree amplitudes with a pair of massive fermions
• Spinor formalism for massive fields with half-integral spin
• Generating MHV super-vertices in light-cone gauge
• An Introduction to the Massive Helicity Formalism with applications to the Electroweak SM
• On Higgs boson plus gluon amplitudes at one loop
• Ward Identity implied recursion relations in Yang-Mills theory
• Helicity Amplitudes for production of massive gravitino/goldstino