Purely leptonic decays of the ground charged vector mesons

The study of the purely leptonic decays ground charged vector mesons is very interesting and significant in determining CKM matrix elements, obtaining decay constant mesons, examining lepton flavor universality, searching for new physics beyond standard model. These are induced by weak interactions within model, usually have small branching ratios, ${\cal B}({\rho}^{-}{\to}{\ell}^{-}{\nu}_{\ell})$ ${\sim}$ O}(10^{-13})$, B}(K^{{\ast}-}{\to}{\ell}^{-}{\nu}_{\ell})$ B}(D_{d}^{{\ast}-}{\to}{\ell}^{-}{\nu}_{\ell})$ O}(10^{-10})$, B}(B_{u}^{{\ast}-}{\to}{\ell}^{-}{\nu}_{\ell})$ B}(D_{s}^{{\ast}-}{\to}{\ell}^{-}{\nu}_{\ell})$ O}(10^{-6})$ B}(B_{c}^{{\ast}-}{\to}{\ell}^{-}{\nu}_{\ell})$ O}(10^{-6})$. Inspired potential prospects LHCb, Belle-II, STCF, CEPC FCC-ee experiments, we discussed probabilities experimental investigation on these decays. It found that measurements might be possible feasible with improvement data statistics, analytical technique, measurement precision future. (1) With hadron-hadron collisions, ${\rho}^{-}$, $K^{{\ast}-}$, $D_{d,s}^{{\ast}-}$ $B_{u,c}^{{\ast}-}$ accessible at LHC experiments. (2) $e^{+}e^{-}$ measurable over $10^{12}$ $Z^{0}$ bosons available In addition, ${\to}$ ${\ell}^{-}{\nu}_{\ell}$ could also studied Belle-II SCTF