$B_{s,d}^0\rightarrow l^+l^-$ in the minimal gauged $(B-L)$ supersymmetry

TL;DR

This paper derives the effective Hamiltonian for rare B meson decays into leptons within a minimal gauged B-L supersymmetric model and analyzes the supersymmetric effects on their branching ratios.

Contribution

It provides complete expressions for the effective Hamiltonian in the B-L supersymmetric model and performs a numerical analysis of supersymmetric contributions to B meson decay rates.

Findings

Supersymmetric contributions can significantly alter decay branching ratios.

The model's parameters influence the decay rates within certain bounds.

Results offer insights into potential signals of supersymmetry in B decays.

Abstract

Complete expressions of effective Hamilton for $b\rightarrow sl^+l^-\;(l=\mu,\;\tau)$ are derived in the framework of minimal supersymmetric extension of the standard model with local $B-L$ gauge symmetry. With some assumptions on parameters of the model, a numerical analysis of the supersymmetric contributions to the branching ratios of $B_s^0\rightarrow l^+l^-\;(l=\mu,\;\tau)$ is presented.