Polarized and Unpolarized Lepton Pair Forward-backward Asymmetries in $\overline{B}\to {\overline{K}}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ and $\overline{B}\to \overline{K}{\ell }^{+}{\ell }^{-}$ Decays in Two Higgs Doublet Model

Abstract

In this paper we shall focus on the effects of concrete models such as SM and Model III of 2HDM on the polarized and unpolarized forward-backward asymmetries of $\overline{B}\to {\overline{K}}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ and $\overline{B}\to \overline{K}{\ell }^{+}{\ell }^{-}$ decays. The obtained results of these decay modes are compared to each other. Also, we obtain the minimum required number of events for detecting each asymmetry and compare them with the number of produced $B\bar{B}$ pairs at the LHC or supposed to be produced at the Super-LHC. At the end, we conclude that the study of these asymmetries for $\overline{B}\to {\overline{K}}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ and $\overline{B}\to \overline{K}{\ell }^{+}{\ell }^{-}$ processes are very effective tools for establishing new physics in the future B-physics experiments.