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Revisiting semileptonic B meson decays at next-to-next-to-leading order


Egner, Manuel; Fael, Matteo; Schönwald, Kay; Steinhauser, Matthias (2023). Revisiting semileptonic B meson decays at next-to-next-to-leading order. Journal of High Energy Physics, 2023(9):112.

Abstract

We compute next-to-next-to-leading order corrections to the semileptonic decay rate of B mesons for arbitrary values of the final-state quark mass. For the contribution with one massive quark in the final state, we extend the literature result and obtain analytic expressions in terms of iterated integrals. For the complete contribution, which also includes contributions with three massive quarks in the final state, we present a semi-analytic method, which leads to a precise approximation formula for the decay rate. Our results agree with the expansions available for b → cℓ$$ \overline{\nu} $$$_{ℓ}$ and b → uℓ$$ \overline{\nu} $$$_{ℓ}$ in the literature. The main emphasize of this paper is on the technical aspects of the calculation which are useful for a wider range of applications.

Abstract

We compute next-to-next-to-leading order corrections to the semileptonic decay rate of B mesons for arbitrary values of the final-state quark mass. For the contribution with one massive quark in the final state, we extend the literature result and obtain analytic expressions in terms of iterated integrals. For the complete contribution, which also includes contributions with three massive quarks in the final state, we present a semi-analytic method, which leads to a precise approximation formula for the decay rate. Our results agree with the expansions available for b → cℓ$$ \overline{\nu} $$$_{ℓ}$ and b → uℓ$$ \overline{\nu} $$$_{ℓ}$ in the literature. The main emphasize of this paper is on the technical aspects of the calculation which are useful for a wider range of applications.

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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:18 September 2023
Deposited On:05 Jan 2024 11:33
Last Modified:28 Jun 2024 03:36
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/jhep09(2023)112
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)