Two loop electroweak corrections to $\bar B\rightarrow X_s\gamma$ and $B_s^0\rightarrow \mu^+\mu^-$ in the B-LSSM

TL;DR

This paper calculates two-loop electroweak corrections to rare B-meson decays within the B-LSSM, showing the model's predictions align with experimental data and constraining its parameter space.

Contribution

It provides the first detailed analysis of two-loop electroweak corrections to these decays in the B-LSSM, extending previous MSSM studies.

Findings

B-LSSM can fit current experimental data for rare decay branching ratios.

New particles and squark definitions influence decay predictions.

Parameter space of B-LSSM is constrained by decay data.

Abstract

The rare decays $\bar B\rightarrow X_s\gamma$ and $B_s^0\rightarrow \mu^+\mu^-$ are important to research new physics beyond standard model. In this work, we investigate two loop electroweak corrections to $\bar B\rightarrow X_s\gamma$ and $B_s^0\rightarrow \mu^+\mu^-$ in the minimal supersymmetric extension of the SM with local $B-L$ gauge symmetry (B-LSSM), under a minimal flavor violating assumption for the soft breaking terms. In this framework, new particles and new definition of squarks can affect the theoretical predictions of these two processes, with respect to the MSSM. Considering the constraints from updated experimental data, the numerical results show that the B-LSSM can fit the experimental data for the branching ratios of $\bar B\rightarrow X_s\gamma$ and $B_s^0\rightarrow \mu^+\mu^-$. The results of the rare decays also further constrain the parameter space of the B-LSSM.