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Higgs production in bottom-quark fusion to third order in the strong coupling

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arxiv 1904.09990 v2 pith:HO4GYTV2 submitted 2019-04-22 hep-ph

Claude Duhr , Falko Dulat , Bernhard Mistlberger This is my paper · ORCID
classification hep-ph
keywords crosssectionhiggsbosonbottom-quarkcouplingfive-flavourfusion
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the inclusive cross section at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD for the production of a Higgs boson via bottom-quark fusion. We employ the five-flavour scheme, treating the bottom quark as a massless parton while retaining a non-vanishing Yukawa coupling to the Higgs boson. We find that the dependence of the hadronic cross section on the renormalisation and factorisation scales is substantially reduced. For judicious choices of the scales the perturbative expansion of the cross section shows a convergent behaviour. We present results for the N$^3$LO cross section at various collider energies. In comparison to the cross section obtained from the Santander-matching of the four and five-flavour schemes we predict a slightly higher cross section, though the two predictions are consistent within theoretical uncertainties.

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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. 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.

  2. 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.

  3. 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.

  4. An Optimal Transportation Approach for Improved Confidence Intervals

    stat.ME 2026-06 unverdicted novelty 6.0 of 10

    Optimal-transport couplings are used to construct confidence intervals that reduce coverage error relative to classical quantile-based intervals, with consistency theory and data-driven hyperparameters.

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