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Abstract: We consider one-loop amplitudes of a Higgs boson coupled to gluons in thelimit of a large top quark mass. We treat the Higgs as the real part of acomplex field phi that couples to the self-dual field strengths and compute theone-loop corrections to the phi-NMHV amplitude, which contains one gluon ofpositive helicity whilst the remaining three have negative helicity. We usefour-dimensional unitarity to construct the cut-containing contributions and ahybrid of Feynman diagram and recursive based techniques to determine therational piece. Knowledge of the phi-NMHV contribution completes the analyticcalculation of the Higgs plus four gluon amplitude. For completeness we alsoinclude expressions for the remaining helicity configurations which have beencalculated elsewhere. These amplitudes are relevant for Higgs plus jetproduction via gluon fusion in the limit where the top quark is large comparedto all other scales in the problem.



Autor: Simon Badger, E. W. Nigel Glover, Pierpaolo Mastrolia, Ciaran Williams

Fuente: https://arxiv.org/







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