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The Neutral Higgs Effects on Rare Decays $B \to X_s l^+ l^-$ in T2HDM

We calculate the new physics contributions to the branching ratios of the rare decays $B \to X_s l^+ l^-$ $(l=e, μ)$ induced by neutral Higgs bosons loop diagrams in the top quark two-Higgs-doublet model (T2HDM). From the numerical calculations, we find that (a) the neutral Higgs boson's correction to $B \to X_s l^+ l^-$ decays interferes constructively with its standard model counterpart, but small in magnitude; (b) the neutral Higgs contributions to the branching ratio of $B \to X_s l^+ l^-$ decay can be neglected safely if their masses are larger than 100 GeV and $\tanβ\leq 40$.