$D^*_{(s)}\to P$ form factors and their applications to semi-leptonic and non-leptonic weak decays

Abstract

Similar to other heavy flavor mesons, the weak decays of $D^*_{(s)}$ mesons can provide a platform to verify the standard model, explore new physics, and understand the mechanisms of weak interactions. At present, the theoretical and experimental studies on $D^*_{(s)}$ mesons are relatively limited. In addition to the dominant electromagnetic decays, the $D^*_{(s)}$ weak decays should be feasible to explore the $D^*_{(s)}$ mesons. In this study, we used the covariant light-front quark model to study the form factors of the transitions $D^*_{(s)}\to π, K, η_{q,s}$, then calculated the branching ratios of the semi-leptonic decays $D^*_{(s)}\to P\ell^{+}ν_{\ell}$ and the non-leptonic decays $D^*_{(s)}\to PP, PV$ with $P=π, K, η^{(\prime)}, V=ρ, K^*, ϕ$ and $\ell=e, μ$. The channels $D_{s}^{*+}\toη\ell^{+}ν_{\ell}$ and $D^{*+}_{s}\to ηρ^{+}$ possess the largest branching ratios, which can reach an order of $10^{-6}$ among these decays, and are most likely to be accessible in experiments at future high-luminosity colliders. Furthermore, we predict and discuss the longitudinal polarization fraction $f_{L}$ and the forward-backward asymmetry $A_{FB}$ for the considered semi-leptonic $D^*_{(s)}$ decays.