An integrand reconstruction method for three-loop amplitudes

TY - JOUR

T1 - An integrand reconstruction method for three-loop amplitudes

AU - David Badger, Simon

AU - Frellesvig, Hjalte Axel

AU - Zhang, Yang

PY - 2012/8/1

Y1 - 2012/8/1

N2 - 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.

AB - 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.

U2 - 10.1007/jhep08(2012)065

DO - 10.1007/jhep08(2012)065

M3 - Journal article

SN - 1126-6708

VL - 2012

SP - 065

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 8

ER -