CP Violation in the Semileptonic $B_{l4}$ ($B->D πl ν$) Decays: Multi-Higgs Doublet Model and Scalar-Leptoquark Models

CP violation from physics beyond the Standard Model is investigated in $B_{l4}$ decays: $B\to D\pi l\bar{\nu}_l$. In the decay process, we include various excited states as intermediate states decaying to the final hadrons, $D+\pi$. We consider the semileptonic decay to a tau lepton family as well. The CP violation is implemented through complex scalar--fermion couplings in the multi-Higgs doublet model and scalar-leptoquark models beyond the Standard Model. With these complex couplings, we calculate the CP-odd rate asymmetry and the optimal asymmetry. We find that for $B_{\tau 4}$ decays the optimal asymmetry is sizable and can be detected at $1\sigma$ level with about $10^6$-$10^7$ $B$-meson pairs, for maximally-allowed values of CP-odd parameters in those extended models.