All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory

TL;DR

This paper calculates the next-to-MHV one-loop n-gluon amplitudes in N=4 super-Yang-Mills theory, extending the understanding of gluon scattering beyond the simplest cases and exploring their twistor-space properties.

Contribution

It provides the first infinite series of amplitudes beyond MHV in N=4 super-Yang-Mills theory, specifically for three negative-helicity gluons.

Findings

Computed next-to-MHV one-loop n-gluon amplitudes.

Analyzed twistor-space structure of these amplitudes.

Extended the class of known gluon scattering amplitudes.

Abstract

We compute the next-to-MHV one-loop n-gluon amplitudes in N=4 super-Yang-Mills theory. These amplitudes contain three negative-helicity gluons and an arbitrary number of positive-helicity gluons, and are the first infinite series of amplitudes beyond the simplest, MHV, amplitudes. We also discuss some aspects of their twistor-space structure.