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

Badger, Simon and Brønnum-Hansen, Christian and Hartanto, Heribertus Bayu and Peraro, Tiziano (2019) 'Analytic helicity amplitudes for two-loop five-gluon scattering : the single-minus case.', Journal of high energy physics., 2019 (1). p. 186.


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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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:17 January 2019
Date deposited:31 January 2019
Date of first online publication:24 January 2019
Date first made open access:No date available

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