$B_s^0 \rightarrow \mu^+ \mu^-$ in a flavor violating extension of MSSM

TL;DR

This paper investigates the rare decay $B_s^0 ightarrow ^+ ^-$ within a flavor-violating extension of the MSSM, showing it can match experimental data and constrain model parameters.

Contribution

It introduces the $ u$SSM as a framework to analyze $B_s^0$ decay, demonstrating its compatibility with experimental results and its ability to restrict parameter space.

Findings

The $ u$SSM can fit the observed $B_s^0 ightarrow ^+ ^-$ decay rates.

The model narrows down the viable parameter space consistent with experimental data.

Compatibility with $ar{B} ightarrow X_s\u03b3$ decay constraints.

Abstract

$B$ meson rare decays play a crucial role in exploring new physics beyond the standard model. In this study, we explore the rare decay process $B_s^0 \rightarrow \mu^+ \mu^-$ in a flavor violating extension of the Minimal Supersymmetric Standard Model (MSSM), namely the $\mu$-from-$\nu$ SSM ($\mu\nu$SSM). Combined with the decay $\bar{B}\rightarrow X_s\gamma$, the numerical results indicate that the $\mu\nu$SSM can successfully accommodate the experimental data for $B_s^0 \rightarrow \mu^+ \mu^-$ and additionally narrow down the parameter space.