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

Jacob L. Bourjaily, Jaroslav Trnka

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34 Scopus citations

Abstract

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
Volume2015
Issue number8
DOIs
StatePublished - Aug 31 2015

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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