  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 $b \to
s$ radiative decay (and other generic BSM parameters) are also investigated.
