Feasibility of searching for the Cabibbo-favored $D^{\ast }$ $\to$ $\bar{K}\ddot{I}{€}^{+}$, ${\bar{K}}^{\ast }\ddot{I}{€}^{+}$, $\bar{K}\ddot{I}{}^{+}$ 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 $D^{\ast }$ $\to$ $\bar{K}\ddot{I}{€}^{+}$, ${\bar{K}}^{\ast }\ddot{I}{€}^{+}$, $\bar{K}\ddot{I}{}^{+}$ weak decays are studied with the naive factorization approach. It is found that branching ratios of these processes can reach up to $\mathcal{O}(10^{-10})$ 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 $D^{\ast 0}$ $\to$ $K^{\ast -}\ddot{I}{€}^{+}$ and $K^{-}\ddot{I}{}^{+}$ decays at the running SuperKEKB experiments.

17 pages, 2 figures