Double-lepton polarization asymmetries inB→K0*(1430)l+l−decay in the fourth-generation standard model

Abstract

In this paper, by deriving the expressions for double-lepton polarization asymmetries for $B$ to a scalar meson transition in SM and SM4 and considering the corresponding uncertainties in SM we investigate the indirect effects of the fourth generation of quarks on such asymmetries in the $B\ensuremath{\rightarrow}{K}_{0}^{*}(1430){\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay. We also compare these asymmetries with those of $B\ensuremath{\rightarrow}K{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay and find out that most of these asymmetries behave similarly to the corresponding asymmetries for $B\ensuremath{\rightarrow}K{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay. We finally show that in the $\ensuremath{\mu}$ channel all asymmetries, except $⟨{P}_{LL}⟩$, and in $\ensuremath{\tau}$ channel only $⟨{P}_{LN}⟩$ can manifest the influence of the fourth generation at the minimum value of ${m}_{{t}^{\ensuremath{'}}}$ around 200 GeV. In addition, it is shown that for the $\ensuremath{\tau}$ channel the asymmetries such as $⟨{P}_{LL}⟩$, $⟨{P}_{NN}⟩$, and $⟨{P}_{TT}⟩$ can indicate the effect of such new physics at ${m}_{{t}^{\ensuremath{'}}}\ensuremath{\ge}300\text{ }\text{ }\mathrm{GeV}$. Hence, the $B\ensuremath{\rightarrow}{K}_{0}^{*}(1430){\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay is a valuable tool for probing new physics beyond SM, especially in the indirect searches of the fourth generation of quarks $({t}^{\ensuremath{'}},{b}^{\ensuremath{'}})$ via its manifestations in loop diagrams.