$B_s^{\ast }\to l^{+}{l}^{-}$ decays in light of recent $B$ anomalies

Abstract

Some of the recent measurements in the neutral current sector $b\to s{l}^{+}{l}^{-}$ ($l=e$ or $\mu$) as well as in the charged current sector $b\to c\tau \bar{\nu }$ show significant deviations from their Standard Model predictions. It has been shown that two different new physics solutions, in the form of vector and/or axial vector, can explain all the anomalies in $b\to s{l}^{+}{l}^{-}$ sector. We show that the muon longitudinal polarization asymmetry in $B_s^{\ast }\to {\mu }^{+}{\mu }^{-}$ decay is a good discriminant between the two solutions if it can be measured to a precision of $\sim 10\%$, provided the new physics Wilson coefficients are real. We also investigate the potential impact of $b\to c\tau \bar{\nu }$ anomalies on $B_s^{\ast }\to {\tau }^{+}{\tau }^{-}$ decay. We consider a model where the new physics contributions to these two transitions are strongly correlated. We find that two orders of magnitude enhancement in the branching ratio of $B_s^{\ast }\to {\tau }^{+}{\tau }^{-}$ is allowed by the present $b\to c\tau \bar{\nu }$ data.

6 pages, 1 figure, Contribution to proceedings of XXIII DAE-BRNS HEP Symposium 2018, Dec. 10-14, 2018, Chennai, India

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