The like-sign dimuon asymmetry and New Physics

The measurement by the D0 collaboration of a large like-sign dimuon asymmetry deviates significantly from Standard Model expectations. New Physics may be invoked to account for such a deviation. We analyse how generic extensions of the Standard Model where the Cabibbo-Kobayashi-Maskawa $3\times 3$ mixing matrix is enlarged can accommodate a significant enhancement of $A_{SL}^b$ with respect to standard expectations through enhancements of the individual semileptonic asymmetries $A_{SL}^d$ and $A_{SL}^s$ in the $B_d^0$-${\bar{B}}_d^0$ and $B_s^0$-${\bar{B}}_s^0$ systems. The potential enhancement reachable in this class of scenario is, nevertheless, insufficient to reproduce the D0 measurement.