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Article
Report number	arXiv:2308.01346 ; P3H-23-053 ; TTP23-030 ; ZU-TH 41/23 ; CERN-TH-2023-151
Title	Revisiting semileptonic $B$ meson decays at next-to-next-to-leading order
Related title	Revisiting semileptonic B meson decays at next-to-next-to-leading order
Author(s)	Egner, Manuel (KIT, Karlsruhe, TTP) ; Fael, Matteo (CERN) ; Schönwald, Kay (Zurich U.) ; Steinhauser, Matthias (KIT, Karlsruhe, TTP)
Publication	2023-09-18
Imprint	2023-08-02
Number of pages	25
Note	25 pages, 8 figures
In:	JHEP 2309 (2023) 112
DOI	10.1007/JHEP09(2023)112
Subject category	hep-ph ; Particle Physics - Phenomenology
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 $b\to c\ell \bar{\nu}_\ell$ and $b\to u\ell \bar{\nu}_\ell$ 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.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2023-2024 The Authors (License: CC-BY-4.0), sponsored by SCOAP³

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