Towards six W-boson amplitude at two loops

Abstract

We construct the planar integrand of the six-leg amplitude of massive W-bosons on the special Coulomb branch of the maximally supersymmetric Yang-Mills theory to two-loop order. We use the six-dimensional supersymmetric spinor-helicity formalism and the generalized unitarity-cut sewing technique to perform this analysis. The thus-found expression corresponds in the massless limit to the six-gluon maximally helicity-violating amplitude. The upshot of the current consideration is that the former is just an uplift of the latter from four to six dimensions. This repeats the pattern found earlier for four- and five-leg amplitudes of massive W-bosons.