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Two-loop leading-colour QCD helicity amplitudes for Higgs boson production in association with a bottom-quark pair at the LHC

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arxiv 2107.14733 v1 pith:M7BBVRN2 submitted 2021-07-30 hep-ph hep-th

Simon Badger , Heribertus Bayu Hartanto , Jakub Kryś , Simone Zoia This is my paper · ORCID
classification hep-phhep-th
keywords amplitudesassociationbosonbottom-quarkhelicityhiggspairproduction
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the two-loop QCD helicity amplitudes for the production of a Higgs boson in association with a bottom-quark pair at a hadron collider. We take the approximations of leading colour and work in the five flavour scheme, where the bottom quarks are massless while the Yukawa coupling is non-zero. We extract analytic expressions from multiple numerical evaluations over finite fields and present the results in terms of an independent set of special functions that can be reliably evaluated over the full phase space.

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Cited by 7 Pith papers

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

  1. Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t \bar{t} g$ at leading colour

    hep-ph 2024-12 conditional novelty 8.0 of 10

    The two-loop finite remainders for gg to ttbar g at leading colour are evaluated numerically at one benchmark point, with elliptic functions confined to the finite part.

  2. Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC

    hep-ph 2024-12 accept novelty 8.0 of 10

    First analytic full-color two-loop five-particle amplitudes for associated Higgs-plus-bottom-quark-pair production at the LHC, with public C++ implementation.

  3. Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes

    hep-ph 2026-03 accept novelty 7.0 of 10

    First analytic two-loop leading-colour amplitudes for top-Yukawa-induced b bbar H production in the heavy-top limit, with Mathematica and C++ code.

  4. 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.

  5. Higgs boson production in association with massive bottom quarks at NNLO+PS

    hep-ph 2024-12 conditional novelty 7.0 of 10

    First NNLO+PS event generator for b-bbar-H production with massive bottom quarks in the four-flavour scheme, showing NNLO corrections resolve the 4FS/5FS tension.

  6. Next-to-next-to-leading order event generation for $t\bar{t}H$ production with approximate two-loop amplitude

    hep-ph 2026-03 conditional novelty 6.0 of 10

    First NNLO+PS (MiNNLOPS) generator for ttH production, combining soft-Higgs and high-energy approximate two-loop amplitudes pointwise, with one-loop-level validation.

  7. Rational-function interpolation from p-adic evaluations in scattering amplitude calculations

    hep-ph 2024-12 conditional novelty 3.0 of 10

    A p-adic interpolation method reconstructs loop-amplitude rational functions directly in partial-fractioned form, cutting required probes by about 25x and output size by about 134x on a challenging two-loop five-point...

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