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All non-maximally-helicity-violating one-loop seven-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
We compute the non-MHV (non-maximally-helicity-violating) one-loop seven-gluon amplitudes in $\mathcal{N}=4$ super-Yang-Mills theory, which contain three negative-helicity gluons and four positive-helicity gluons. There are four independent color-ordered amplitudes, $(--\ensuremath{-}++++)$, $(--+\ensuremath{-}+++)$, $(--++\ensuremath{-}++)$ and $(\ensuremath{-}+\ensuremath{-}+\ensuremath{-}++)$. The MHV amplitudes containing two negative-helicity and five positive-helicity gluons were computed previously, so all independent one-loop seven-gluon …