CP violation in the semileptonic B₁₄ decays (B^±→π⁺π^-l ^±ν)

Direct CP violations in B₁₄ decays (B^±→π⁺π^-l ^±ν₁) are investigated within the standard model (SM) and also in its extensions. In the decay processes, we include various excited states as intermediate states decaying to the final hadrons π⁺π^-. The CP violation within the SM is induced by the interferences between intermediate resonances with different quark flavors. As extensions of the SM, we consider CP violations implemented through complex scalar-fermion couplings in the multi-Higgs doublet model and the scalar-leptoquark models. We calculate the CP-odd rate asymmetry and the optimal asymmetry. We find that the optimal asymmetry can be measured at the 1σ level with about 10⁹B-meson pairs in the SM case and 10³-10⁷ pairs in the extended model case, for maximally allowed values of CP-odd parameters in each case.