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Analytic amplitudes for a pair of Higgs bosons in association with three partons

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arxiv 2408.12686 v2 pith:CTZQTZPI submitted 2024-08-22 hep-ph

classification hep-ph
keywords higgsamplitudesanalyticpairbosonsassociationbosoncalculation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The pair production of Higgs bosons at the LHC can give information about the triple Higgs boson coupling. We perform an analytic one-loop calculation of the amplitudes for a pair of Higgs bosons in association with three partons, retaining the exact dependence on the quark mass circulating in the loop. These amplitudes constitute the real radiation corrections in the calculation of Higgs boson pair production at next-to-leading order in the strong coupling. The results of an analytic generalised-unitarity computation are simplified via analytic reconstruction in spinor variables. Compact ans\"atze for kinematic pole residues are iteratively fitted via $p$-adic evaluations near said poles and subtracted until no pole remains. A new ansatz construction is introduced to minimally parametrise coefficients of amplitudes with multiple massive external legs. The simplified expressions are faster to evaluate than automatic codes and can lead to more stable results near singular regions.

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Cited by 3 Pith papers

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

  1. 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.

  2. The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The leading-power mass logarithms in high-energy gg to HH are shown to originate solely from top-quark mass renormalization, enabling a resummation that sharply reduces the mass-scheme uncertainty of the virtual amplitude.

  3. {\tt ggxy}: a flexible library to compute gluon-induced cross sections

    hep-ph 2025-06 accept novelty 4.0 of 10

    A new software library, ggxy, computes NLO QCD cross sections for gg to HH and reproduces previous exact results with much shorter runtimes.

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