Study of Nonleptonic $B_{(s)}^{\ast }\to M_1{M}_2$ $(M=D$, $D_s$, $\pi$, $K)$ Weak Decays with Factorization Approach

Abstract

Motivated by the experiments of heavy flavor physics at running LHC and upgrading SuperKEKB/Belle-II in the future, the nonleptonic $B_{(s)}^{\ast }\to M_1{M}_2$ $(M=D$, $D_s$, $\pi$, $K)$ weak decays are studied in this paper. The amplitudes are calculated with factorization approach, and the transition form factors $A_0^{B_{(s)}^{\ast }\to M_1}(0)$ are evaluated within BSW model. With the reasonable approximation ${\Gamma }_{tot}(B_{(s)}^{\ast })\simeq \Gamma (B_{(s)}^{\ast }\to B_{(s)}\gamma )$, our predictions of branching fractions are presented. Numerically, the CKM-favored tree-dominated ${\bar{B}}^{\ast 0}\to D^{+}{D}_s^{-}$ and ${\bar{B}}_s^{\ast 0}\to D_s^{+}{D}_s^{-}$ decays have the largest branching fractions of the order $\sim \mathcal{O}(10^{-8})$, and hence will be firstly observed by forthcoming Belle-II experiment. However, most of the other decay modes have the branching fractions~$<\mathcal{O}(10^{-9})$ and thus are hardly to be observed soon. Besides, for the possible detectable $B_{(s)}^{\ast }$ decays with branching fractions $\gtrsim \mathcal{O}(10^{-9})$, some useful ratios, such as $R_D$ {\it et al.,} are presented and discussed in detail.

Comments: 17 pages, 5 tables, the version published in International Journal of Modern Physics A