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arXiv · 1505.05886

Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM

Jacob L. Bourjaily·Jaroslav Trnka
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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 divergent terms---in a way that makes manifest the exponentiation of infrared divergences at the integrand-level. 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.

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Jacob L. Bourjaily, Jaroslav Trnka. 2015-05-21. Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM. https://doi.org/10.1007/jhep08(2015)119

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