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

Abstract

Applying the effective Hamilton for $b\to s{l}^{+}{l}^{-},(l=e,\mu )$ 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 $B\to X_{{}_S}{l}^{+}{l}^{-}$ 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 $B\to X_{{}_S}{l}^{+}{l}^{-}$ are presented in low and high $q^2$ regions, respectively.

Comments: 38 pages, 8 figures, have been accepted for publication in Physical Review D. arXiv admin note: text overlap with arXiv:1603.07578