Abstract
Motivated by a dynamical enhancement of the electromagnetic corrections by a power of ΛQCD/mb in Bd,s → μ+ μ− at next-to-leading order (NLO), we extend the QED factorization effects on the leptonic B meson decays with light muon leptons to tauonic final states, Bd,s → τ+ τ−, using soft-collinear effective theory (SCET). This extension is necessary owing to the appearance of the large τ mass, which will lead to different power counting in SCET and also different results. We provide a complete NLO electromagnetic corrections to Bd,s → τ+ τ−, which include hard functions and hard-collinear functions below the bottom quark mass scale μb. The power enhanced electromagnetic effects from hard-collinear contributions on Bd,s → μ+ μ− discussed before also exist in Bd,s → τ+ τ−. However the logarithm term arising from contributions of hard-collinear photon and lepton virtualities for Bd,s → τ+ τ− is not large as it is in muon case due to the hard-collinear scale of τ mass, which lead to only approximately 0.04% QED corrections to the branching fraction of Bd,s → τ+ τ− compared with overall reduction about 0.5% in Bd,s → μ+ μ−.
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Acknowledgments
We are grateful to Yu-Ming Wang for a resultful cooperation and very valuable discussions. S.-H. Zhou also thanks Yan-Bing Wei for useful discussions. The research of Y. L. Shen is supported by the National Natural Science Foundation of China with Grant No.12175218 and the Natural Science Foundation of Shandong with Grant No. ZR2020MA093. S. H. Zhou acknowledges support from the National Natural Science Foundation of China with Grants No.12105148.
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Huang, YK., Shen, YL., Zhao, XC. et al. Complete analysis on QED corrections to Bq → τ+τ−. J. High Energ. Phys. 2023, 73 (2023). https://doi.org/10.1007/JHEP10(2023)073
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DOI: https://doi.org/10.1007/JHEP10(2023)073