Abstract
We analyse in detail the QED corrections to the total decay width and the moments of the electron energy spectrum of the inclusive semi-leptonic B → Xceν decay. Our calculation includes short-distance electroweak corrections, the complete 𝒪(α) partonic terms and leading-logarithmic QED effects up to \( \mathcal{O}\left({\Lambda}_{\textrm{QCD}}^3/{m}_b^3\right) \). A comprehensive numerical comparison of our results against those obtained with the Monte Carlo (MC) tool PHOTOS is presented. While the comparison indicates good overall agreement, our computation contains QED effects not included in PHOTOS and should therefore better describe photon radiation to B → Xceν as measured by the B-factories. Our calculations represent the first steps in the construction of a fully differential higher-order QED MC generator for inclusive semi-leptonic B decays.
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Acknowledgments
We are grateful to Martin Beneke, Florian Bernlochner, Rhorry Gauld, Martin Gorbahn, Gino Isidori, Martin Jung, Marcello Rotondo and Christoph Schwanda for useful discussions and explanations. The research of PG is supported in part by the Italian Ministry of Research (MIUR) under grant PRIN 20172LNEEZ. He also received partial support from the Excellence Cluster ORIGINS which is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy — EXC-2094 — 390783311 as well as from 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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Bigi, D., Bordone, M., Gambino, P. et al. QED effects in inclusive semi-leptonic B decays. J. High Energ. Phys. 2023, 163 (2023). https://doi.org/10.1007/JHEP11(2023)163
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DOI: https://doi.org/10.1007/JHEP11(2023)163