Locally finite two-loop QCD amplitudes from IR universality for electroweak production

Abstract

We describe the implementation of infrared subtractions for two-loop QCD corrections to quark-antiquark annihilation to electroweak final states. The subtractions are given as form-factor integrands whose integrals are known. The resulting subtracted amplitudes are amenable to efficient numerical integration. Our procedure is based on the universality of infrared singularities and requires a relatively limited set of subtractions, whose number grows as the number of two-loop diagrams, rather than with the number of singular regions of integration.

67 pages, 7 Tables, 12 Figures

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Cited by in corpus (6)

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• Local infrared safety in time-ordered perturbation theory
• Locally finite two-loop amplitudes for electroweak production through gluon fusion
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
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