Double-Lepton Polarization Asymmetries in $B_s\text{rar}\varphi {\ell }^{+}{\ell }^{-}$ Decay in the Fourth-Generation Standard Model

Abstract

In this paper, we investigate the effects of the fourth generation of quarks on the double-lepton polarization asymmetries in the $B_s\text{rar}\varphi {\ell }^{+}{\ell }^{-}$ decay. It is shown that these asymmetries in $B_s\text{rar}\varphi {\ell }^{+}{\ell }^{-}$ decay compared with those of $B\text{rar}K{\ell }^{+}{\ell }^{-}$ decay are more sensitive to the fourth-generation parameters. We conclude that an efficient way to establish the existence of the fourth generation of quarks could be the study of these asymmetries in the $B_s\text{rar}\varphi {\ell }^{+}{\ell }^{-}$ decay.

Comments: 25 pages and 7 figures