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The parton-level structure of Higgs decays to hadrons at N$^3$LO


Chen, Xuan; Jakubčík, Petr; Marcoli, Matteo; Stagnitto, Giovanni (2023). The parton-level structure of Higgs decays to hadrons at N$^3$LO. Journal of High Energy Physics, 2023(6):185.

Abstract

We present the quantum chromodynamics (QCD) corrections for Higgs boson decays to hadronic final states at next-to-next-to-next-to-leading order (N$^{3}$LO) in the strong coupling constant α$_{s}$. In particular, we consider the Higgs boson decay to massless bottom quarks and the Higgs boson decay to a pair of gluons in the limit of a heavy top quark. The tree-level five-parton, the one-loop four-parton, the two-loop three-parton, and the three-loop two-parton matrix elements are integrated separately over the inclusive phase space and classified by partons appearing in the final state and by colour structure. As a check, we reproduce known results for the inclusive hadronic decay rates at N$^{3}$LO. We study patterns of infrared singularity cancellation within the colour layers of the integrated expressions and we comment on the similarities between H →$$ b\overline{b} $$ and γ$^{∗}$→$$ q\overline{q} $$. We anticipate that our result will be an essential ingredient for the formulation of N$^{3}$LO subtraction schemes.

Abstract

We present the quantum chromodynamics (QCD) corrections for Higgs boson decays to hadronic final states at next-to-next-to-next-to-leading order (N$^{3}$LO) in the strong coupling constant α$_{s}$. In particular, we consider the Higgs boson decay to massless bottom quarks and the Higgs boson decay to a pair of gluons in the limit of a heavy top quark. The tree-level five-parton, the one-loop four-parton, the two-loop three-parton, and the three-loop two-parton matrix elements are integrated separately over the inclusive phase space and classified by partons appearing in the final state and by colour structure. As a check, we reproduce known results for the inclusive hadronic decay rates at N$^{3}$LO. We study patterns of infrared singularity cancellation within the colour layers of the integrated expressions and we comment on the similarities between H →$$ b\overline{b} $$ and γ$^{∗}$→$$ q\overline{q} $$. We anticipate that our result will be an essential ingredient for the formulation of N$^{3}$LO subtraction schemes.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Nuclear and High Energy Physics
Uncontrolled Keywords:Nuclear and High Energy Physics
Language:English
Date:27 June 2023
Deposited On:04 Jan 2024 12:30
Last Modified:28 Jun 2024 03:33
Publisher:Springer
ISSN:1029-8479
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/jhep06(2023)185
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)