Prescriptive unitarity for non-planar six-particle amplitudes at two loops

Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer, Andrew J. McLeod, Jaroslav Trnka

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We extend the applications of prescriptive unitarity beyond the planar limit to provide local, polylogarithmic, integrand-level representations of six-particle MHV scattering amplitudes in both maximally supersymmetric Yang-Mills theory and gravity. The integrand basis we construct is diagonalized on a spanning set of non-vanishing leading singularities that ensures the manifest matching of all soft-collinear singularities in both theories. As a consequence, this integrand basis naturally splits into infrared-finite and infrared-divergent parts, with hints toward an integrand-level exponentiation of infrared divergences. Importantly, we use the same basis of integrands for both theories, so that the presence or absence of residues at infinite loop momentum becomes a feature detectable by inspecting the cuts of the theory. Complete details of our results are provided as sup- plementary material.

Original languageEnglish (US)
Article number73
JournalJournal of High Energy Physics
Issue number12
StatePublished - Dec 1 2019

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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