Polarized and unpolarized lepton pair forward–backward asymmetries in \(\overline{B}\rightarrow \overline{K}_{0}^{*}(1430) \ell ^+\ell ^-\) and \(\overline{B}\rightarrow \overline{K} \ell ^+\ell ^-\) decays in two-Higgs-doublet model

In this paper we shall focus on the effects of concrete models such as the SM and 2HDM of type III on the polarized and unpolarized forward–backward asymmetries of \(\overline{B}\rightarrow \overline{K}_0^{*}(1430) \ell ^+\ell ^-\) and \(\overline{B}\rightarrow \overline{K} \ell ^+\ell ^-\) 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 it 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 \(\overline{B}\rightarrow \overline{K}_0^*(1430) \ell ^+\ell ^-\) and \(\overline{B}\rightarrow \overline{K} \ell ^+\ell ^-\) processes are very effective tools for establishing new physics in the future B-physics experiments.