Abstract
We consider the maximal cut of a three-loop four point function with massless kinematics. By applying Gröbner 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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ArXiv ePrint: 1207.2976
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Badger, S., Frellesvig, H. & Zhang, Y. An integrand reconstruction method for three-loop amplitudes. J. High Energ. Phys. 2012, 65 (2012). https://doi.org/10.1007/JHEP08(2012)065
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DOI: https://doi.org/10.1007/JHEP08(2012)065