Infrared properties of five-point massive amplitudes in $$ \mathcal{N} $$ = 4 SYM on the Coulomb branch

Abstract

Abstract We investigate the structure of the five-point W boson scattering amplitude in $$ \mathcal{N} $$ N = 4 SYM on the Coulomb branch in a small mass limit. We show that up to two loops the IR divergences exponentiate and are controlled by the Γoct anomalous dimension similar to the four-point amplitude case considered recently in the literature. We also make a conjecture regarding the all-loop structure of the five-point amplitude.