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One-loop Higgs plus four gluon amplitudes: Full analytic results

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arxiv 0909.4475 v2 pith:JH3DTLKO submitted 2009-09-24 hep-ph

classification hep-ph
keywords higgsgluonamplitudeshelicityone-loopplusamplitudeanalytic
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider one-loop amplitudes of a Higgs boson coupled to gluons in the limit of a large top quark mass. We treat the Higgs as the real part of a complex field phi that couples to the self-dual field strengths and compute the one-loop corrections to the phi-NMHV amplitude, which contains one gluon of positive helicity whilst the remaining three have negative helicity. We use four-dimensional unitarity to construct the cut-containing contributions and a hybrid of Feynman diagram and recursive based techniques to determine the rational piece. Knowledge of the phi-NMHV contribution completes the analytic calculation of the Higgs plus four gluon amplitude. For completeness we also include expressions for the remaining helicity configurations which have been calculated elsewhere. These amplitudes are relevant for Higgs plus jet production via gluon fusion in the limit where the top quark is large compared to all other scales in the problem.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $N$-Photon Amplitudes in EFT from Recursion Relations and Effective Vertices

    hep-th 2026-08 conditional novelty 7.0 of 10

    A CSW-like recursion plus a 'contact Lagrangian' computes arbitrary tree-level N-photon amplitudes in general EFTs, with results through 10 photons in Born-Infeld theory.

  2. Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit

    hep-ph 2026-05 unverdicted novelty 7.0 of 10

    Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.

  3. Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints

    hep-ph 2025-11 unverdicted novelty 7.0 of 10

    Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.

  4. Precise Predictions for Event Shapes in Hadronic Higgs Decays

    hep-ph 2025-08 conditional novelty 6.0 of 10

    First NNLO QCD predictions for six classical event-shape distributions and soft-drop thrust in hadronic Higgs decays, for both H to b bbar and H to gg channels.

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