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Complete analysis on QED corrections to Bq → τ+ τ-

2023/01/02 by Yongkang Huang, Yue-Long Shen, Huang, Yong-Kang +5
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2301.00697

openalex publication_date 2023/01/02 · openalex created_date 2023/01/06 · openalex updated_date 2026/07/28

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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