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arXiv · 1811.11699

Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case

Simon Badger·Christian Brønnum-Hansen·Heribertus Bayu Hartanto·Tiziano Peraro
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Abstract

We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations over finite fields. The numerical method combines integrand reduction, integration-by-parts identities and Laurent expansion into a basis of pentagon functions to compute the coefficients directly from six-dimensional generalised unitarity cuts.

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Simon Badger, Christian Brønnum-Hansen, Heribertus Bayu Hartanto, Tiziano Peraro. 2018-11-28. Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case. https://doi.org/10.1007/jhep01(2019)186

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