Singularity structure of maximally supersymmetric scattering amplitudes

Nima Arkani-Hamed, Jacob L. Bourjaily, Freddy Cachazo, Jaroslav Trnka

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53 Scopus citations

Abstract

We present evidence that loop amplitudes in maximally supersymmetric (N=4) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full N=4 SYM has only logarithmic singularities and is free of any poles at infinity - properties closely related to uniform transcendentality and the UV finiteness of the theory. We also briefly comment on implications for maximal (N=8) supergravity theory (SUGRA).

Original languageEnglish (US)
Article number261603
JournalPhysical review letters
Volume113
Issue number26
DOIs
StatePublished - Dec 29 2014

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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