Lepton polarization asymmetry in $B_{(}s,d{)}^{\ast }$ arrow ${\mu }^{+}{\mu }^{-}$ with new Z' couplings

Abstract

We study the effect of non-universal $Z^{\prime }$ boson on the rare leptonic decay modes of $B_s^{\ast }$ mesons, mediated by $barrowsll$ quark transition. Rare B decays are sensitive to various new physics operators. As B mesons are composite particles, such decay modes of the excited states are ideal for probing new physics beyond the standard model. We have constrained our model parameters from $B_{(}s,d)-$ {B bar(s,d)}$mixingdatatopredicttheleptonpolarizationasymmetryof$B_(s,d)^*$arrow${\mu}^+ {\mu}^-$channel.ItisfoundthatthisasymmetrydeviatesfromitsSMpredictionalongwiththe$Z'$effect