Analysis of the lepton polarisation asymmetries of $\bar{B}\to {\bar{K}}_2(1430){\ell }^{+}{\ell }^{-}$ decay

Abstract

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 $\bar{B}\to {\bar{K}}^{\ast }(890){\ell }^{+}{\ell }^{-}$, 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.

Comments: 13 pages, 10 figures files