One-Loop QCD and Higgs to Partons Processes Using Six-Dimensional Helicity and Generalized Unitarity

Abstract

We combine the six-dimensional helicity formalism of Cheung and O'Connell with D-dimensional generalized unitarity to obtain a new formalism for computing one-loop amplitudes in dimensionally regularized QCD. With this procedure, we simultaneously obtain the pieces that are constructible from four-dimensional unitarity cuts and the rational pieces that are missed by them, while retaining a helicity formalism. We illustrate the procedure using four- and five-point one-loop amplitudes in QCD, including examples with external fermions. We also demonstrate the technique's effectiveness in next-to-leading order QCD corrections to Higgs processes by computing the next-to-leading order correction to the Higgs plus three positive-helicity gluons amplitude in the large top-quark mass limit.

48 pages, 11 figures; v2, typos corrected, minor clarifications and references added

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• BCJ Relations for One-Loop QCD Integral Coefficients
• Anomalies without an action
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• Analytic results for scalar-mediated Higgs boson production in association with two jets