Feasibility of the experimental study of $$D_{s}^{*}\rightarrow {\phi }{\pi }$$ decay

AbstractThe current knowledge on the $$D_{s}^{*}$$ D s ∗ meson are very limited. Besides the dominant electromagnetic decays, the $$D_{s}^{*}$$ D s ∗ weak decays are legal and offer the valuable opportunities to explore the wanted $$D_{s}^{*}$$ D s ∗ meson. In this paper, the $$D_{s}^{*}\rightarrow {\phi }{\pi }$$ D s ∗ → ϕ π decay was studied with the factorization approach. It is found that the branching ratio $${\mathcal {B}}(D_{s}^{*}\rightarrow {\phi }{\pi })$$ B ( D s ∗ → ϕ π ) $${\sim }$$ ∼ $${\mathcal {O}}(10^{-7})$$ O ( 10 - 7 ) , which corresponds to several thousands of events at the $$e^{+}e^{-}$$ 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 $$D_{s}^{*}\rightarrow {\phi }{\pi }$$ D s ∗ → ϕ π weak decay in the future, even considering the identification efficiency.