Supersymmetric origin of a lowaJ/ψCPasymmetry

We show that general minimal supersymmetric extensions of the standard model (MSSM) allow for a $\mathrm{CP}$ asymmetry in $\stackrel{\ensuremath{\rightarrow}}{B}J/\ensuremath{\psi}{K}_{S}$ well below the SM expectations with dominant supersymmetric contributions to ${\ensuremath{\varepsilon}}_{K}$ and ${\ensuremath{\varepsilon}}^{\ensuremath{'}}/\ensuremath{\varepsilon}.$ Indeed, we provide an explicit example of an MSSM with nonuniversal soft breaking terms fully consistent with the low results of this asymmetry recently announced by BaBar and Belle Collaborations.