$B \to X_s l^+ l^-$ 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 $\widetilde{C}_{i}^{eff}(m_b)$ ($i =7\gamma, 9V$ and $10A$) in the T2HDM are always standard model like; (b) the new physics contributions to $\widetilde{C}_{7\gamma}^{eff}$ and $\widetilde{C}_{9V}^{eff}$ 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.