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arXiv · 1207.2976

An Integrand Reconstruction Method for Three-Loop Amplitudes

Simon Badger·Hjalte Frellesvig·Yang Zhang
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Abstract

We consider the maximal cut of a three-loop four point function with massless kinematics. By applying Groebner bases and primary decomposition we develop a method which extracts all ten propagator master integral coefficients for an arbitrary triple-box configuration via generalized unitarity cuts. As an example we present analytic results for the three loop triple-box contribution to gluon-gluon scattering in Yang-Mills with adjoint fermions and scalars in terms of three master integrals.

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Simon Badger, Hjalte Frellesvig, Yang Zhang. 2012-07-12. An Integrand Reconstruction Method for Three-Loop Amplitudes. https://doi.org/10.1007/jhep08(2012)065

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