30 parameter version of the MSSM in light of the $B_s\rightarrow\mu^+\mu^-$ observation

TL;DR

This paper investigates how the recent $B_s ightarrow\mu^+\mu^-$ decay measurement impacts the parameter space of a systematically constructed 30-parameter MSSM, emphasizing the importance of detailed flavor physics modeling.

Contribution

It introduces the MSSM-30, a symmetry-guided parametrization that improves upon traditional models for studying flavor physics and assesses the decay's impact on this framework.

Findings

The $B_s ightarrow\mu^+\mu^-$ observation constrains the MSSM-30 parameter space.

MSSM-30 provides a more accurate flavor violation analysis than traditional models.

Phenomenological frames like MSSM-30 are essential for future flavor physics studies.

Abstract

The R-parity conserving MSSM in light of the decay $B_s\rightarrow\mu^+\mu^-$ with near-SM branching ratio is an interesting platform for studying the complementarity between direct and indirect searches for beyond the SM physics. Based on this, we have analysed the possible impact of the $B_s\rightarrow\mu^+\mu^-$ observation on the posterior sample from the global fit of a 30-parameter MSSM (MSSM-30), and the related Wilson Coefficients. The MSSM-30 is a systematically constructed, symmetry-guided, MSSM parametrization, as opposed to the traditional frames (e.g. pMSSM) with crude treatment of flavor violation parameters. This paper illustrates why phenomenological frames like the MSSM-30 should be preferred to study flavor physics. For the current and future B-physics experimental precision, such a consideration is crucial for suitably assessing supersymmetric contributions to flavor observables.