Implications of light $Z^{\prime }$ on semileptonic $B(B_s)\to T\{K_2^{\ast }(1430)$ $(f_2^{\prime }(1525))\}{\ell }^{+}{\ell }^{-}$ decays at large recoil

Abstract

We probe the rare semileptonic decays $B_{(s)}\to K_2^{\ast }(1430)(f_2^{\prime }(1525)){\ell }^{+}{\ell }^{-}$ proceeding via $b\to s\ell \ell$ transition in the presence of a light $Z^{\prime }$ boson. We employ the presence of an additional vector type interaction and constrain the new physics coupling parameter using the existing experimental measurements on $R_K$ and $R_{K^{\ast }}$ observables. To understand the sensitivity of the new physics coupling, we investigate the impact of this coupling on various physical observables such as differential branching ratio, the forward-backward asymmetry, the lepton polarization asymmetry, the angular observable $P_5^{\prime }$, and the lepton universality parameters such as the ratio of the branching ratio $R_{f_2^{\prime }(K_2^{\ast })}$ and some important Q parameters of $B_{(s)}\to K_2^{\ast }(1430)(f_2^{\prime }(1525)){\ell }^{+}{\ell }^{-}$ processes at large recoil. We find some noticeable differences of the observables in the presence of light $Z^{\prime }$ contribution.

Comments: 15 pages, 4 figures