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

2015

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

Bourjaily, Jacob L., Trnka, Jaroslav

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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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