Pure Annihilation Type $B\to K_0^{\ast \pm }(1430)K^{(\ast )\mp }$ Decays in the Family Non-universal $Z^{\prime }$ Model

Abstract

By assuming that the scalar meson $K_0^{\ast }(1430)$ belongs to the first excited states or the lowest lying ground states, we study the pure annihilation-type decays $B\to K_0^{\ast \pm }(1430)K^{(\ast )\mp }$ in the QCD factorization approach. Within the standard model, the branching fractions are at the order of $10^{-8}-10^{-7}$, which is possible to be measured in the ongoing LHCb experiment or forthcoming Belle-II experiment. We also study these decays in the family non-universal $Z^{\prime }$ model. The results show that if $m_{Z^{\prime }}\approx 600\mathrm{GeV}$ ($\zeta =0.02$), both the branching fractions and $CP$ asymmetries of ${\overline{B}}^0\to K_0^{\ast +}(1430)K^{-}$ could be changed remarkably, which provides us a place for probing the effect of new physics. These results could be used to constrain the parameters of $Z^{\prime }$ model.

Comments: 9 pages, 18 figures