One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory

TL;DR

This work addresses the construction of one-loop NMHV amplitudes in $N=4$ SYM that include external gluinos and adjoint scalars by relating them to known purely gluonic amplitudes. The authors combine Supersymmetric Ward Identities and generalized unitarity, specifically quadruple cuts, to derive conversion factors that map gluonic box-coefficients to amplitudes with fermions and scalars. They provide explicit conversion factors for two-gluino configurations and show how these extend to two scalars and arbitrary numbers of external fermions/scalars via squaring and SWI, with consistency checks from IR behavior. The results enable efficient, systematic generation of a wide class of one-loop NMHV amplitudes in $N=4$ SYM from existing gluonic results, advancing both calculational technique and understanding of supersymmetric amplitude relations.

Abstract

We use Supersymmetric Ward Identities and quadruple cuts to generate n-pt NMHV amplitudes involving gluinos and adjoint scalars from purely gluonic amplitudes. We present a set of factors that can be used to generate one-loop NMHV amplitudes involving gluinos or adjoint scalars in N=4 Super Yang-Mills from the corresponding purely gluonic amplitude.