One-loop phi-MHV amplitudes using the unitarity bootstrap: the general helicity case

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dc.creatorGlover, E. W. N.
dc.creatorMastrolia, Pierpaolo
dc.creatorWilliams, Ciaran
dc.date2008-04-25
dc.date2008-07-22
dc.date.accessioned2026-07-07T12:38:37Z
dc.date.available2026-07-07T12:38:37Z
dc.descriptionWe consider a Higgs boson coupled to gluons via the five-dimensional effective operator H tr G_{μν}G^{μν}. We treat H as the real part of a complex field phi that couples to the selfdual gluon field strengths and compute the one-loop corrections to the phi-MHV amplitudes involving phi, two negative helicity gluons and an arbitrary number of positive helicity gluons. Our results generalise earlier work where the two negative helicity gluons were constrained to be colour adjacent. We use four-dimensional unitarity to construct the cut-containing contributions and the recently developed recursion relations to obtain the rational contribution for an arbitrary number of external gluons. We solve the recursion relations and give explicit results for up to four external gluons. These amplitudes are relevant for Higgs plus jet production via gluon fusion in the limit where the top quark mass is large compared to all other scales in the problem.
dc.description55 pages, 8 figures, JHEP3 class, references added, typos corrected
dc.identifierhttps://arxiv.org/abs/0804.4149
dc.identifierhttp://arxiv.org/abs/0804.4149
dc.identifierJHEP 0808:017,2008
dc.identifierdoi:10.1088/1126-6708/2008/08/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218820
dc.subjectHigh Energy Physics - Phenomenology
dc.titleOne-loop phi-MHV amplitudes using the unitarity bootstrap: the general helicity case
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