$B\to X_s{l}^{+}{l}^{-}$ decay in a Top quark two-Higgs-doublet model

Abstract

We calculate the new physics contributions to the rare semileptonic decay $B\to X_s{l}^{+}{l}^{-}$ $(l=e,\mu )$ induced by the charged-Higgs loop diagrams appeared in the top quark two-Higgs doublet model (T2HDM). Within the considered parameter space, we found that (a) the effective Wilson coefficients ${\tilde{C}}_i^{eff}(m_b)$ ($i=7\gamma ,9V$ and $10A$) in the T2HDM are always standard model like; (b) the new physics contributions to ${\tilde{C}}_{7\gamma }^{eff}$ and ${\tilde{C}}_{9V}^{eff}$ can be significant, but they tend to cancel each other; and (c) the T2HDM predictions for $Br(B\to X_s{l}^{+}{l}^{-})$ agree well with the measured value within one standard deviation.

18 pages, 8 eps figures, typos removed, final version appeared in PRD