Probing new physics through $B^*_s \rightarrow \mu^+ \mu^-$ decay

TL;DR

This paper analyzes potential new physics effects on the decay $B^*_s ightarrow \, \, \\mu^+ \, \, \\mu^-$, finding that current data suggests the decay rate is likely suppressed compared to the Standard Model prediction.

Contribution

It provides a model-independent analysis of new physics operators affecting the decay and predicts that the branching ratio is suppressed, not enhanced, based on current data.

Findings

Scalar and pseudoscalar operators do not affect the decay.

Good fit scenarios predict suppressed branching ratios.

Future measurements are expected to show suppression.

Abstract

We perform a model independent analysis of new physics in $B^*_s \rightarrow \mu^+ \mu^-$ decay. We intend to identify new physics operator(s) which can provide large enhancement in the branching ratio of $B^*_s \rightarrow \mu^+ \mu^-$ above its standard model prediction. For this, we consider new physics in the form of vector, axial-vector, scalar and pseudoscalar operators. We find that scalar and pseudoscalar operators do not contribute to the branching ratio of $B^*_s \rightarrow \mu^+ \mu^-$. We perform a global fit to all relevant $b \to s \mu^+ \mu^-$ data for different new physics scenarios. For each of these scenarios, we predict $Br(B^*_s \rightarrow \mu^+ \mu^-)$. We find that a significant enhancement in $Br(B^*_s \rightarrow \mu^+ \mu^-)$ is not allowed by any of these new physics operators. In fact, for all new physics scenarios providing a good fit to the data, the branching ratio of $B^*_s \rightarrow \mu^+ \mu^-$ is suppressed as compared to the SM value. Hence the present $b \to s \mu^+ \mu^-$ data indicates that the future measurements of $Br(B^*_s \rightarrow \mu^+ \mu^-)$ is expected to be suppressed in comparison to the standard model prediction.