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We compute the next-to-MHV one-loop n-gluon amplitudes in N=4super-Yang-Mills theory. These amplitudes contain three negative-helicitygluons and an arbitrary number of positive-helicity gluons, and are the firstinfinite series of amplitudes beyond the simplest, MHV, amplitudes. We alsodiscuss some aspects of their twistor-space structure.Comment: 36 pages, 9 figures, revtex, v2 minor correction

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

All next-to-maximally-helicity-violating one-loop gluon amplitudes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>super-Yang-Mills theory

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