Recursive construction ofHiggs+multipartonloop amplitudes: The last of the “ϕ-nite” loop amplitudes

2006/08/31 by Carola F. Berger, Vittorio Del Duca, Lance J. Dixon · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling (piping) #Gluon #Higgs boson #Mathematical physics #Operator (biology) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #hep-ph

paper · pdf · doi:10.1103/physrevd.74.094021

published as Phys.Rev.D74:094021,2006; Erratum-ibid.D76:099901,2007 · 63 pages, 7 figures; v2 references added; v3 minor typos corrected and note added; v4 fixed error in eq. (7.11) (lower limit of sum should be l=2, not l=3), also affecting eqs. (7.14), (8.20), (8.21), (8.27) and (8.28)

openalex publication_date 2006/11/20 · arxiv created 2007/09/04 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider a scalar field, such as the Higgs boson H, coupled to gluons via the effective operator H tr G_\ensuremathμ\ensuremathνG^\ensuremathμ\ensuremathν induced by a heavy-quark loop. We treat H as the real part of a complex field \ensuremathφ which couples to the self-dual part of the gluon field-strength, via the operator \ensuremathφ tr G_SD\ensuremathμ\ensuremathνG_SD^\ensuremathμ\ensuremathν, whereas the conjugate field \ensuremathφ^\ifmmode†\else\textdagger\fi couples to the anti-self-dual part. There are three infinite sequences of amplitudes coupling \ensuremathφ to quarks and gluons that vanish at tree level, and hence are finite at one loop, in the QCD coupling. Using on-shell recursion relations, we find compact expressions for these three sequences of amplitudes and discuss their analytic properties.

Citations

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