The exclusive $B\to π\ell^+ \ell^-$ and $B\to ρ\ell^+ \ell^-$ decays in the general two Higgs doublet model

Abstract

We study the differential branching ratio, branching ratio and the forward-backward asymmetry for the exclusive $B \to π\ell^+ \ell^-$ and $B \to ρ\ell^+ \ell^-$ decays in the general two Higgs doublet model including the neutral Higgs boson effects. We analyze the dependencies of these quantities on the neutral Higgs boson contributions and the other model parameters. We observe that two Higgs doublet model with the neutral Higgs boson exchanges gives quite sizable contributions to these observables for both channels we consider. Since the neutral Higgs boson exchanges are the only source of the forward-backward asymmetry for $B \to πτ^+ τ^-$ decay, which is at the order of magnitude $1-10%$, measurement of this observable is promising to determine the neutral Higgs boson effects.