  Recently, it has been found that the tree-level CP invariance of the Higgs
potential in the MSSM can be sizeably broken by loop effects due to
soft-CP-violating trilinear interactions involving third generation scalar
quarks. These soft-CP-violating couplings may be constrained by considering new
two-loop contributions to the electron and neutron EDMs. The phenomenological
consequences of such a minimal supersymmetric scenario of explicit CP violation
at present and future colliders are briefly discussed.
