New physics effects in semileptonic $\overline{B_s}\to K^{\ast +}(\to K\pi ){\mathrm{\ell }}^{-}{\bar{\nu }}_{\mathrm{\ell }}$ decay

We analyze the new physics effects in semileptonic $\overline{B_s}\to K^{\ast +}(\to K\pi ){\mathrm{\ell }}^{-}{\bar{\nu }}_{\mathrm{\ell }}$ decay induced by the $b\to u\mathrm{\ell }{\nu }_{\mathrm{\ell }}$ quark level transition. We consider the vector, scalar and tensor new physics Lorentz structures in addition to the SM in effective field theory approach. Constraints on new physics parameters are obtained from experimental observations of both semileptonic and leptonic decays of $B$ mesons, which are governed by the underlyng $b\to u\mathrm{\ell }{\nu }_{\mathrm{\ell }}$ transition. We explore the new physics effects in differential branching fraction, lepton forward-backward asymmetry, fraction of longitudinal polarization of $K^{\ast }$ meson and normalized angular observables in $\overline{B_s}\to K^{\ast +}(\to K\pi ){\mathrm{\ell }}^{-}{\bar{\nu }}_{\mathrm{\ell }}$ decay.