Feasibility of the experimental study of $D_s^{\ast }$ $\to$ $\ddot{I}•\ddot{I}€$ decay

Abstract

The current knowledge on the $D_s^{\ast }$ meson are very limited. Besides the dominant electromagnetic decays, the $D_s^{\ast }$ weak decays are legal and offer the valuable opportunities to explore the wanted $D_s^{\ast }$ meson. In this paper, the $D_s^{\ast }$ $\to$ $\ddot{I}•\ddot{I}€$ decay was studied with the factorization approach. It is found that the branching ratio $\mathcal{B}(D_s^{\ast }\to \ddot{I}•\ddot{I}€)$ $\sim$ $\mathcal{O}(10^{-7})$, which corresponds to several thousands of events at the $e^{+}{e}^{-}$ collider experiments including STCF, SuperKEKB, CEPC and FCC-ee, and several millions of events at the hadron collider experiments, such as LHCb@HL-LHC. It is feasible to experimentally study the $D_s^{\ast }$ $\to$ $\ddot{I}•\ddot{I}€$ weak decay in the future, even considering the identification efficiency.

11 pages