Implications of the Measurement of theBs0B¯s0Mass Difference

We analyze the significant new model independent constraints on extensions of the standard model (SM) that follow from the recent measurements of the $B_s^0{\overline{B}}_s^0$ mass difference. The time-dependent $CP$ asymmetry in $B_s\to \psi \varphi$, $S_{\psi \varphi }$, will be measured with good precision in the first year of CERN Large Hadron Collider (LHC) data taking, which will further constrain the parameter space of many extensions of the SM, in particular, next-to-minimal flavor violation. The $CP$ asymmetry in semileptonic $B_s$ decay, $A_{\mathrm{SL}}^s$, is also important to constrain these frameworks, and could give further clues to our understanding the flavor sector in the LHC era. We point out a strong correlation between $S_{\psi \varphi }$ and $A_{\mathrm{SL}}^s$ in a very broad class of new physics models.