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The inclusive semileptonic decays of the B meson are examined in the context of a CP softly broken two Higgs doublet model. The differential branching ratio, forwardbackward asymmetry, CPviolating asymmetry, CPviolating asymmetry in the forward backward asymmetry and polarization asymmetries of the final lepton in this decay are examined. The dependencies of these physical parameters on the model parameters are analyzed by paying a special attention to the effects of neutral Higgs boson (NHB) exchanges and possible CP violating effects. It has found that NHB effects are quite signifcant for the tau mode and the above mentioned observables seems to be promising as a testing ground for new physics beyond the SM, especially for the existence of the CPviolating phase in the theory.
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