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arXiv · 0906.0008

Analytic one-loop amplitudes for a Higgs boson plus four partons

Lance J. Dixon·Yorgos Sofianatos
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Abstract

We compute the one-loop QCD amplitudes for the processes HqqQQ and Hqqgg, the latter restricted to the case of opposite-helicity gluons. Analytic expressions are presented for the color- and helicity-decomposed amplitudes. The coupling of the Higgs boson to gluons is treated by an effective interaction in the limit of large top quark mass. The Higgs field is split into a complex field phi and its complex conjugate phi-dagger. The split is useful because amplitudes involving phi have different analytic structure from those involving phi-dagger. We compute the cut-containing pieces of the amplitudes using generalized unitarity. The remaining rational parts are obtained by on-shell recursion. Our results for HqqQQ agree with previous semi-numerical computations. We also show how to convert existing semi-numerical results for the production of a scalar Higgs boson into analogous results for a pseudoscalar Higgs boson.

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Lance J. Dixon, Yorgos Sofianatos. 2009-12-11. Analytic one-loop amplitudes for a Higgs boson plus four partons. https://doi.org/10.1088/1126-6708%2F2009%2F08%2F058

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