Polarized and Unpolarized ℛK* in and beyond the SM

Abstract The Standard Model (SM) is lepton flavor universal, and the recent measurements of lepton flavor universality in $B \rightarrow (K,K^{*})\ell ^{+}\ell ^{-}$, $\ell = \mu , \,\, e$ decays now lie close to the SM predictions. However, this is not the case for the $\tau$ to $\mu$ ratios in these decays, where there is still some window open for the new physics (NP), and to accommodate them various extensions to the SM are proposed. It will be interesting to identify some observables that are not only sensitive in the parametric space of such NP models but also have some discriminatory power. We find that the polarization of the $K^{*}$ may play an important role; therefore, we have computed the unpolarized and polarized lepton flavor universality ratios of $\tau$ to $\mu$ in $B\rightarrow K^{*}\ell ^{+}\ell ^{-}$, $\ell = \mu , \tau$ decays. The calculation shows that in most cases, the values of the various proposed observables fall within the current experimental sensitivity, and their study in some ongoing and future experiments will serve as a tool to segregate the variants of the NP models.