All next-to-maximally-helicity-violating one-loop gluon amplitudes inN=4super-Yang-Mills theory

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.

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