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Study of nonleptonic $B_{(s)}^{*} \to M_{1} M_{2}$ $(M = D, D_{s}, π, K)$ weak decays with factorization approach

Qin Chang

Institute of Particle and Nuclear Physics, Henan Normal University, Henan 453007, P. R. China

Institute of Particle Physics, Central Normal University, Wuhan 430079, P. R. China

State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P. R. China

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Pan-Pan Li

Institute of Particle and Nuclear Physics, Henan Normal University, Henan 453007, P. R. China

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Xiao-Hui Hu

Institute of Particle and Nuclear Physics, Henan Normal University, Henan 453007, P. R. China

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, and

Lin Han

Institute of Particle and Nuclear Physics, Henan Normal University, Henan 453007, P. R. China

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https://doi.org/10.1142/S0217751X15501626Cited by:8 (Source: Crossref)

Abstract

Motivated by the experiments of heavy flavor physics at running LHC and upgrading SuperKEKB/Belle-II in the future, the nonleptonic $B_{(s)}^{*} \to M_{1} M_{2}$ $(M = D, D_{s}, π, K)$ weak decays are studied in this paper. The amplitudes are calculated with factorization approach, and the transition form factors $A_{0}^{B_{(s)}^{*} \to M_{1}} (0)$ are evaluated within BSW model. With the reasonable approximation $Γ_{tot} (B_{(s)}^{*}) ≃ Γ (B_{(s)}^{*} \to B_{(s)} γ)$ , our predictions of branching fractions are presented. Numerically, the CKM-favored tree-dominated ${\bar{B}}^{* 0} \to D^{+} D_{s}^{-}$ and ${\bar{B}}_{s}^{* 0} \to D_{s}^{+} D_{s}^{-}$ decays have the largest branching fractions of the order $\sim 𝒪 (1 0^{- 8})$ , and hence will be firstly observed by forthcoming Belle-II experiment. However, most of the other decay modes have the branching fractions $< 𝒪 (1 0^{- 9})$ and thus are hardly to be observed soon. Besides, for the possible detectable $B_{(s)}^{*}$ decays with branching fractions $≳ 𝒪 (1 0^{- 9})$ , some useful ratios, such as $R_{D}$ , etc. are presented and discussed in detail.

Keywords:

PACS: 13.25.Hw, 12.39.St

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