$B\rightarrow X_{_S}l^+l^-$ in the minimal gauged $(B-L)$ supersymmetry

TL;DR

This paper investigates rare B meson decays within a minimal supersymmetric model with local B-L symmetry, analyzing branching ratios, asymmetries, and CP violation effects in different kinematic regions.

Contribution

It provides a detailed analysis of supersymmetric contributions to rare B decay observables in a minimal B-L extended SUSY framework, including CP asymmetries.

Findings

Supersymmetric effects can significantly alter branching ratios.

Forward-backward asymmetries are sensitive to new physics parameters.

CP asymmetries depend on new CP phases from soft breaking terms.

Abstract

Applying the effective Hamilton for $b\rightarrow sl^+l^-,\;(l=e,\;\mu)$ in the framework of minimal supersymmetric extension of the standard model with local $B-L$ gauge symmetry, we investigate branching ratios and forward-backward asymmetries of rare decay $B\rightarrow X_{_S}l^+l^-$ in low and high $q^2$ regions, respectively. In addition we also study the $CP$ asymmetries depending on new $CP$ phases from soft breaking terms in low and high $q^2$ regions. With some assumptions on parameter space of the model, the numerical analyses of the supersymmetric contributions to the branching ratios, forward-backward and $CP$ asymmetries of $B\rightarrow X_{_S}l^+l^-$ are presented in low and high $q^2$ regions, respectively.