QCD corrections to the Bc to charmonia semileptonic decays

Jian-Ming Shen, Xing-Gang Wu, Hong-Hao Ma, and Sheng-Quan Wang
Phys. Rev. D 90, 034025 – Published 29 August 2014

Abstract

We present a detailed analysis on the Bc meson semileptonic decays, Bcηc(J/ψ)ν, up to next-to-leading order (NLO) QCD correction. We adopt the principle of maximum conformality (PMC) to set the renormalization scales for those decays. After applying the PMC scale setting, we determine the optimal renormalization scales for the Bcηc(J/ψ) transition form factors (TFFs). Because of the same β0-terms, the optimal PMC scales at the NLO level are the same for all those TFFs, i.e., μrPMC0.8GeV. We adopt a strong coupling model from the massive perturbation theory to achieve a reliable pQCD estimation in this low energy region. Furthermore, we adopt a monopole form as an extrapolation for the Bcηc(J/ψ) TFFs to all their allowable q2 region. Then, we predict ΓBcηcν(=e,μ)=(71.538.90+11.27)×1015GeV, ΓBcηcτν=(27.144.33+5.93)×1015GeV, ΓBcJ/ψν(=e,μ)=(106.3114.01+18.59)×1015GeV, ΓBcJ/ψτν=(28.254.35+6.02)×1015GeV, where the uncertainties are squared averages of all the mentioned error sources. We show that the present prediction of the production cross section times branching ratio for Bc+J/ψ+v relative to that for B+J/ψK+, i.e., (J/ψ+ν), is in a better agreement with CDF measurements than the previous predictions.

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  • Received 27 July 2014

DOI:https://doi.org/10.1103/PhysRevD.90.034025

© 2014 American Physical Society

Authors & Affiliations

Jian-Ming Shen, Xing-Gang Wu*, Hong-Hao Ma, and Sheng-Quan Wang

  • Department of Physics, Chongqing University, Chongqing 401331, People’s Republic of China

  • *wuxg@cqu.edu.cn

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Vol. 90, Iss. 3 — 1 August 2014

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