Feasibility of the experimental study of $D_{s}^{\ast}$ ${\to}$ ${\phi}{\pi}$ decay

TL;DR

This paper assesses the feasibility of experimentally studying the rare weak decay of the $D_{s}^{ ext{*}}$ meson into $ ext{phi} ext{pi}$, estimating its branching ratio and potential event counts at future collider experiments.

Contribution

It provides the first theoretical estimate of the $D_{s}^{ ext{*}} o ext{phi} ext{pi}$ decay branching ratio using the factorization approach and evaluates experimental prospects.

Findings

Branching ratio estimated at around 10^{-7}

Potential for thousands of events at $e^{+}e^{-}$ colliders

Potential for millions of events at hadron colliders

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 $D_{s}^{\ast}$ ${\to}$ ${\phi}{\pi}$ decay was studied with the factorization approach. It is found that the branching ratio ${\cal B}(D_{s}^{\ast}{\to}{\phi}{\pi})$ ${\sim}$ ${\cal O}(10^{-7})$, 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 $D_{s}^{\ast}$ ${\to}$ ${\phi}{\pi}$ weak decay in the future, even considering the identification efficiency.