Lepton polarization and CP-violating effects in $\bar{B}\to {\bar{K}}_0^{\ast }(1430){\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$ Decay in Standard and Two Higgs Doublet Model

In this paper we analyze the dilepton mass square $q^2$ dependency of single lepton polarization asymmetries and CP violation for $\overline{B}\rightarrow \overline{K}0^{*}(1430) \ell^+\ell^-, \ell=\mu,\tau)$ in the 2HDM context. Also, we study the averages of these asymmetries in the domain $4 m{\ell}^2<q^2< (m_B-m_{{K}_0^{}})^2$. Our study manifests that the investigation of the above-mentioned asymmetries for $\overline{B}\rightarrow \overline{K}_0^(1430) \ell^+\ell^-$ processes could provide useful information for probing new Higgs bosons in the future B-physics experiments.