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New physics models that increase the decay rate of $B_s \to \tau^+ \tau^-$contribute to the absorptive part of $B_s$--$\bar{B}_s$ mixing, and may enhance$\Delta\Gamma_s$ all the way up to its current experimental bound. Inparticular, the model with a scalar leptoquark can lead to a significantviolation of the expectation $\Delta\Gamma_s \leq \Delta\Gamma_s$ (SM). It caneven allow regions in the $\Delta\Gamma_s$-$\beta_s$ parameter space that areclose to the best fit obtained by CDF and D\{O} through $B_s \to J/\psi \phi$.In addition, it can help explain the anomalous like-sign dimuon chargeasymmetry observed recently by D\O. A measurement of $BR(B_s \to \tau^+\tau^-)$ is thus crucial for a better understanding of new physics involved in$B_s$--$\bar{B}_s$ mixing.

Enhanced $B_s$--$\bar{B}_s$ lifetime difference and anomalous like-sign dimuon charge asymmetry from new physics in $B_s \to \tau^+ \tau^-$