Study of ${\bar{B}}_{u,d,s}^{\ast }\to D_{u,d,s}^{\ast }V(V=D_{d,s}^{\ast -},K^{\ast -},{\rho }^{-})$ weak decays

Abstract

Motivated by the rapid development of heavy flavor physics experiment, we study the tree-dominated nonleptonic ${\bar{B}}_{u,d,s}^{\ast }\to D_{u,d,s}^{\ast }V$~($V=D^{\ast -},D_s^{\ast -},K^{\ast -},{\rho }^{-}$) decays within the factorization approach. The relevant transition form factors are calculated by employing the covariant light-front quark model. The helicity amplitudes are calculated and analyzed in detail, and a very clear hierarchy structure $|H_{-0}|\approx 2|H_{00}|>|H_{0-}|\approx |H_{--}|>|H_{0+}|\approx |H_{++}|$ is presented. The branching fractions are computed and discussed. Numerically, the CKM-favored ${\bar{B}}_q^{\ast }\to D_q^{\ast }{\rho }^{-}$ and $D_q^{\ast }{D}_s^{\ast -}$ decays have relatively large branching fractions, $\gtrsim \mathcal{O}(10^{-8})$, and are hopeful to be observed by LHC and Belle-II experiments in the future.

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