Analysis of B_s->\phi \ell^+ \ell^- decay with new physics effects

The rare B_s-> \phi \ell^+ \ell^- decay is investigated by using the most general model independent effective Hamiltonian for $\ell= \mu, \tau$. The calculated $Br(B_s \rar \phi \mu^+ \mu^-) = 1.92 \times 10^{-6}$ is in consistent with the experimental upper bound. The dependencies of the branching ratios and polarization asymmetries of leptons and combined lepton-antilepton asymmetries on the new Wilson coefficients are presented. The analysis shows that the branching ratios and the lepton polarization asymmetries are very sensitive to the scalar and tensor type interactions. The results obtained in this work will be very useful in searching new physics beyond the standard model.