On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts

Details On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts

2009-03-31

arxiv.org/abs/0903.5348v2

Physics

High Energy Physics

High Energy Physics - Theory

Minor typographical errors corrected

Scientific paper

In this paper we describe algebraic and diagrammatic methods, related to the MHV generating function method, for evaluating and exposing the structure of supersymmetric sums over the states crossing generalized unitarity cuts of multi-loop amplitudes in four dimensions. We focus mainly on cuts of maximally supersymmetric Yang-Mills amplitudes. We provide various concrete examples, some of which are directly relevant for the calculation of four-loop amplitudes. Additionally, we discuss some cases with less than maximal supersymmetry. The results of these constructions carry over to generalized cuts of multi-loop supergravity amplitudes through use of the Kawai-Lewellen-Tye relations between gravity and gauge-theory tree amplitudes.

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