An Integrand Reconstruction Method for Three-Loop Amplitudes

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.

15 pages, 1 figure

References in corpus (3)

• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• Algorithm FIRE -- Feynman Integral REduction
• Optimizing the Reduction of One-Loop Amplitudes

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