Supersymmetric contributions to B$^{0}\overline{B}^{0}$ and K$^{0}\overline{K}^{0}$ mixings

We show that in the supersymmetric standard model (SSM) box diagrams mediated by charginos and up-type squarks may give large contributions to \BB and \KK mixings. This is due to the fact that a heavy top quark mass allows large mass differences among the up-type squarks, which leads to a less efficient cancellation among the different squark diagrams. If the ratio of the vacuum expectation values of the Higgs bosons is of order of unity, box diagrams mediated by charged Higgs bosons also contribute appreciably. For sizable regions of the SSM parameter space, the SSM contributions could be sufficiently large to affect significantly the evaluation of the CKM matrix from the experimental values of the mixing parameter x_d and the CP violation parameter \epsilon.