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On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
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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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Non-factorizable Superamplitudes for Massive N = 1 Superstates
Massive N=1 superamplitudes for chiral multiplets have the universal non-factorizable form δ^(2)(Q†) Q^2 ∏(1 - 1/2 η_i^2), with form factors built from Q and Q† insertions.
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