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In this paper, we investigate the effects of the fourth generation of quarkson the double-lepton polarization asymmetries in the $B_s \rar \phi \ell^+\ell^-$ decay. It is shown that these asymmetries in $B_s \rar \phi \ell^+\ell^-$ decay compared with those of $B \rar K \ell^+ \ell^-$ decay are moresensitive to the fourth-generation parameters. We conclude that an efficientway to establish the existence of the fourth generation of quarks could be thestudy of these asymmetries in the $B_s \rar \phi \ell^+ \ell^-$ decay.

Double-Lepton Polarization Asymmetries in $B_s \rar \phi \ell^+ \ell^-$ Decay in the Fourth-Generation Standard Model