Local integrand representations of all two-loop amplitudes in planar SYM

Jacob L. Bourjaily, Jaroslav Trnka

Research output: Contribution to journalArticlepeer-review

46 Scopus citations


Abstract: We use generalized unitarity at the integrand-level to directly construct local, manifestly dual-conformally invariant formulae for all two-loop scattering amplitudes in planar, maximally supersymmetric Yang-Mills theory (SYM). This representation separates contributions into manifestly finite and manifestly divergent terms — in a way that renders all infrared-safe observables (including ratio functions) calculable without any need for regulation. These results perfectly match the all-loop BCFW recursion relations, to which we provide a closed-form solution valid through two-loop-order. Finally, we describe and document a Mathematica package which implements these results, available as part of this work’s source files on the arXiv.

Original languageEnglish (US)
Article number119
JournalJournal of High Energy Physics
Issue number8
StatePublished - Aug 31 2015

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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