Supersymmetry and CP violation in B^0_s - \bar{B}^0_s mixing and B^0_s -> J/\psi \phi decay

Supersymmetric contributions to time independent asymmetry in $B^0_s \to J/\psi \phi$ process are analyzed in the view of the recent Tevatron experimental measurements. We show that the experimental limits of the mass difference $\mathrm{\Delta }{M}_{B_s}$ and the mercury EDM significantly constrain the SUSY contribution to $B_s^0-{\bar{B}}_s^0$ mixing, so that $\sin 2 \beta_s \lsim 0.1$\mathrm{.}WealsopointoutthattheoneloopSUSYcontributionto$B^0_s \to J/\psi \phi$ decay can be important and can lead to large indirect CP asymmetries which are different for different polarization states. These new physics effects in the decay amplitude can be consistent with CP measurements in the $B_d$ system.