Abstract
We compute the first moments of the q2 distribution in inclusive semileptonic B decays as functions of the lower cut on q2, confirming a number of results given in the literature and adding the \( O\left({\alpha}_s^2{\beta}_0\right) \) BLM contributions. We then include the q2-moments recently measured by Belle and Belle II in a global fit to the moments. The new data are compatible with the other measurements and slightly decrease the uncertainty on the nonperturbative parameters and on |Vcb|. Our updated value is |Vcb| = (41.97 ± 0.48) × 10−3.
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Acknowledgments
We thank Martin Jung for discussions and suggestions. We also thank the authors of ref. [20] for providing us with their combination of Belle and Belle II q2-moments results, Matteo Fael and Keri Vos for checking tables 1 and 2, and Martin Beneke and Florian Bernlochner for useful discussions and explanations. The work of P.G. is supported in part by the Italian Ministry of Research (MIUR) under the grants PRIN 20172LNEEZ and 2022N4W8WR, by the Excellence Cluster ORIGINS which is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy — EXC-2094 — 390783311, and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Sino-German Collaborative Research Center TRR110 “Symmetries and the Emergence of Structure in QCD” (DFG Project-ID 196253076, NSFC Grant No. 12070131001, - TRR 110).
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Finauri, G., Gambino, P. The q2 moments in inclusive semileptonic B decays. J. High Energ. Phys. 2024, 206 (2024). https://doi.org/10.1007/JHEP02(2024)206
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DOI: https://doi.org/10.1007/JHEP02(2024)206