With the potential prospects of the $D^{ *}_{ s}$ at high-luminosity heavy-flavor experiments in the future, we investigated the CKM-favored and tree-dominated leptonic $D^{ *}_{ s}\to\ell\bar{ \nu}_{ \ell}$ and semileptonic $D^{ *}_{ s}\to M\ell\bar{ \nu}_{ \ell}$ ($M=\phi, \eta^{ (\prime)}$ and $\ell=e, \mu$) weak decays in the Standard Model (SM). The theoretical predictions and some discussions for the observable quantities including the total width of $D^{ *}_{ s}$ mesons, the branching fractions of leptonic $D^{ *}_{ s}\to\ell\bar{ \nu}_{ \ell}$ and semileptonic $D^{ *}_{ s}\to M\ell\bar{ \nu}_{ \ell}$ weak decays, the lepton spin asymmetry and forward-backward asymmetry are presented. Numerically, the weak decays of $D^{ *}_{ s}\to\ell\bar{ \nu}_{ \ell}$ and $D^{ *}_{ s} \to M\ell\bar{ \nu}_{ \ell}$ have relatively large branching fractions of the order $\mathcal{ O}(10^{ -5})$ and $\mathcal{ O}(10^{ -7})$ respectively, which are expected to be observed in future experiments.
Categories: hep-ph