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arXiv · 1410.0354

On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

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

We present evidence that loop amplitudes in maximally supersymmetric $\mathcal{N}=4$ Yang-Mills (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 $\mathcal{N}=4$ 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 ($\mathcal{N}=8$) supergravity.

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Nima Arkani-Hamed, Jacob L. Bourjaily, Freddy Cachazo, Jaroslav Trnka. 2014-10-01. On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes. https://doi.org/10.1103/physrevlett.113.261603

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