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

A preprint version of the article is available at arXiv.

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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Badger, S., Brønnum-Hansen, C., Hartanto, H.B. et al. Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case. J. High Energ. Phys. 2019, 186 (2019). https://doi.org/10.1007/JHEP01(2019)186

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Keywords

  • Perturbative QCD
  • Scattering Amplitudes