Two-Higgs-doublet model and double-lepton polarization asymmetries in B → K 0 * ( 1430 ) ℓ + ℓ − decay

In this paper, the dependency of ${P}_{ij}$'s on the dilepton invariant mass, ${q}^{2}$, and the model III two-Higgs-doublets model (2HDM) parameters for $B\ensuremath{\rightarrow}{K}_{0}^{*}(1430){\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay were investigated, and the results were compared to those of the standard model (SM) and Appelquist, Cheng and Dobrescu model. Also, for this decay, the effects of model III 2HDM parameters on the averages of double-lepton polarization asymmetries, $⟨{P}_{ij}⟩$'s, were studied, and by taking into account the corresponding theoretical and experimental errors in the SM, the results of the SM and 2HDM were compared to each other. In addition, by comparing the averages of double-lepton polarization asymmetries in 2HDM to those of SM4 and obtaining the required number of events for detecting each asymmetry at the LHC or the Super Large Hadron Collider, we present a comprehensive discussion regarding the lepton polarizations of $B\ensuremath{\rightarrow}{K}_{0}^{*}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay. We discovered that the study of the double-lepton polarization asymmetries and the corresponding averages in the $B\ensuremath{\rightarrow}{K}_{0}^{*}(1430){\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay can provide good signals for probing new physics beyond the SM in the future $B$-physics experiments.