We investigate the exclusive $\overrightarrow{B}\pi l^{+}{l}^{-}$ and $\overrightarrow{B}\rho l^{+}{l}^{-}$ decays in the framework of the general two Higgs doublet model (model III), in which an extra phase angle in the charged-Higgs fermion coupling, i.e., a new source for $\mathrm{CP}$ violation, exists. The $\mathrm{CP}$ violation for both decays is calculated and it is observed that the $\mathrm{CP}$-violating asymmetry in model III differs significantly from the one predicted by the standard model and model II which is a special case of model III. Furthermore, it is shown that the zero value of forward backward asymmetry $A_{\mathrm{FB}}$ is shifted when compared with the standard model value, which can also serve as an efficiency tool for establishing new physics.

• Received 7 December 1998

DOI:https://doi.org/10.1103/PhysRevD.60.014005