B meson rare decays in the TNMSSM

TL;DR

This paper calculates two-loop electroweak corrections to rare B meson decays within the TNMSSM, showing these effects can significantly influence decay predictions and align well with experimental data.

Contribution

It provides the first detailed analysis of two-loop electroweak corrections to B meson rare decays in the TNMSSM, highlighting the impact of new parameters on decay rates.

Findings

Two-loop corrections can reach about 4% for $ar B ightarrow X_s ightarrow$X_sγ.

TNMSSM predictions fit well with current experimental data.

New parameters significantly affect decay branching ratios.

Abstract

We investigate the two loop electroweak corrections to B meson rare decays $\bar B\rightarrow X_s\gamma$ and $B_s^0\rightarrow \mu^+\mu^-$ in the minimal supersymmetry standard model (MSSM) extension with two triplets and one singlet (TNMSSM). The new particle contents and interactions in the TNMSSM can affect the theoretical predictions of the branching ratios ${\rm Br}(\bar B\rightarrow X_s\gamma)$ and ${\rm Br}(B_s^0\rightarrow \mu^+\mu^-)$, and the corrections from two loop diagrams to the process $\bar B\rightarrow X_s\gamma$ can reach around $4\%$. Considering the latest experimental measurements, the numerical results of ${\rm Br}(\bar B\rightarrow X_s\gamma)$ and ${\rm Br}(B_s^0\rightarrow \mu^+\mu^-)$ in the TNMSSM are presented and analyzed. It is found that the results in the TNMSSM can fit the updated experimental data well and the new parameters $T_{\lambda},\;\kappa,\;\lambda$ affect the theoretical predictions of ${\rm Br}(\bar B\rightarrow X_s\gamma)$ and ${\rm Br}(B_s^0\rightarrow \mu^+\mu^-)$ obviously.