An Integrand Reconstruction Method for Three-Loop Amplitudes
High Energy Physics - Phenomenology
2015-06-05 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.1207.2976,
title = {An Integrand Reconstruction Method for Three-Loop Amplitudes},
author = {Simon Badger and Hjalte Frellesvig and Yang Zhang},
journal= {arXiv preprint arXiv:1207.2976},
year = {2015}
}
Comments
15 pages, 1 figure