New Relations for Gauge-Theory Amplitudes with Matter

TL;DR

This paper extends known relations for gauge-theory amplitudes to include matter fields like scalars and fermions, confirming their validity for complex six- and seven-point NMHV amplitudes.

Contribution

It introduces a method to adapt existing gauge-theory amplitude relations to non-gluonic matter using Ward identities, expanding their applicability.

Findings

Relations hold for all MHV amplitudes with matter after modification.

Explicit confirmation for six- and seven-point NMHV amplitudes.

Method applicable to scalar, fermion, and quark cases.

Abstract

We extend a recently discovered set of relations for gauge-theory amplitudes to non-gluonic matter. For all MHV amplitudes we find that these can be made to hold for scalar/fermion/quark cases by inclusion of a factor derived via Ward identities. For six- and seven-point amplitudes with non-gluonic matter we explicitly confirm these relations for NMHV helicity configurations.