Analysis of the lepton polarisation asymmetries of ${\bar{B}} \to {\bar{K}}_{2}(1430) \ell^{+} \ell^{-}$ decay

In this work we will study the longitudinal polarisations of both leptons in the decay process \({\bar{B}} \to {\bar{K}}_{2}(1430) \ell^{+} \ell^{-}\). This process has all the features of the related and well investigated process \({\bar{B}} \to {\bar{K}}^{*}(890) \ell^{+} \ell^{-}\), with theoretically comparable branching ratios. The polarised differential decay rates as well as the single and double polarisation asymmetries are worked out, where the sensitivity of these to possible right-handed couplings for the related b→s radiative decay (and other BSM parameters) are also investigated.