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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Acknowledgments
We thank F. Lange for the help with Kira, V. Shtabovenko for the help with Canonica and K. Melnikov for useful discussions. This research was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under grant 396021762 — TRR 257 “Particle Physics Phenomenology after the Higgs Discovery” and has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme grant agreement 101019620 (ERC Advanced Grant TOPUP). The work of M.F. is supported by the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 101065445 – PHOBIDE.
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Egner, M., Fael, M., Schönwald, K. et al. Revisiting semileptonic B meson decays at next-to-next-to-leading order. J. High Energ. Phys. 2023, 112 (2023). https://doi.org/10.1007/JHEP09(2023)112
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DOI: https://doi.org/10.1007/JHEP09(2023)112