Feasibility of searching for the Cabibbo-favored $D^{\ast}$ ${\to}$ $\bar{K}{\pi}^{+}$, $\bar{K}^{\ast}{\pi}^{+}$, $\bar{K}{\rho}^{+}$ decays

Abstract

The current knowledge on the $D^{\ast}$ mesons are still inadequate. Encouraged by the positive development prospects of high-luminosity and high-precision experiments, the Cabibbo-favored nonleptonic $D^{\ast}$ ${\to}$ $\bar{K}{\pi}^{+}$, $\bar{K}^{\ast}{\pi}^{+}$, $\bar{K}{\rho}^{+}$ weak decays are studied with the naive factorization approach. It is found that branching ratios of these processes can reach up to ${\cal O}(10^{-10})$ or more, and can be accessible at STCF, CEPC, FCC-ee and LHCb@HL-LHC experiments in the future. It might even be possible to search for the $D^{{\ast}0}$ ${\to}$ $K^{{\ast}-}{\pi}^{+}$ and $K^{-}{\rho}^{+}$ decays at the running SuperKEKB experiments.