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Motivated by the recently observed anomalous large dimuon charge asymmetry inneutral B decays and the unexpected large CP phase in the mixing-induced CPasymmetry for B_s-->J/\psi\phi decay, we study the effects of the anomaloustensor couplings to pursue possible solution. With the constraints from theobsevables \phi^{J/\psi\phi}_s, a_{sl}^s and \Delta M_s, the parameter spacesare severely restricted. Numerically, we find the anomalies inB_s^0-\bar{B}_s^0 mixing system could be moderated simultaneously by thecontributions induced by the color-singlet or color-octet tensor operators withtheir respective nontrivial new weak phase \phi_{T1}\approx28.0(15.6) degree or\phi_{T8}\approx-62.1(-74.2) degree and relevant strength parametersg_{T1}\approx6.7(8.5)\times10^{-2} or g_{T8}\approx1.9(2.4)\times10^{-2} forthe CP-violating phase\phi^{J/\psi\phi}_s=-0.77(+0.29,-0.37)(-2.36(+0.37,-0.29)), respectively.

Implications of the Anomalies in B_s^0-\bar{B}_s^0 Mixing for Anomalous Tensor Couplings