Forward-backward asymmetries of $\bar{B}\to\bar{K}_1(1270)\ell^+\ell^-$ and $\bar{B}\to\bar{K}^*\ell^+\ell^-$ transitions in two Higgs doublet model

In this paper the polarized and unpolarized lepton pair forward-backward asymmetries and their averages in B ¯ → K ¯ 1 ( 1270 ) l + l - and B ¯ → K ¯ * l + l - decays using model III of the two Higgs doublet model are investigated. The obtained results of both decay modes are compared to each other and to those of SM. In addition, by obtaining the minimum required number of events for detecting each asymmetry and comparing them with the number of produced B B ¯ pairs at the LHC or supposed to be produced at the Super-LHC, we present a comprehensive discussion regarding the polarized and unpolarized forward-backward asymmetries of B ¯ → K ¯ 1 ( 1270 ) l + l - and B ¯ → K ¯ * l + l - decays. We discover that the study of these asymmetries and the corresponding averages in B ¯ → K ¯ 1 ( 1270 ) l + l - and B ¯ → K ¯ * l + l - decays can provide good signals for probing new physics beyond the SM in the future B-physics experiments.