Large CP phases and the cancellation mechanism in EDMs in SUSY, string, and brane models -: art. no. 093004

yWe show that EDMs obey a simple approximate scaling under the transformation m(0) --> lambda m(0), m(1/)2 -->lambda m(1/2) in the large mu region when mu itself obeys the same scaling, i.e., mu-->lambda mu. In the scaling region knowledge of a single point in the MSSM parameter space where the cancellation in the EDMs occurs allows one to generate a trajectory in the m(0)-m(1/2) plane where the cancellation mechanism holds and the EDMs are small. We illustrate these results for the MSSM with radiative electroweak symmetry breaking constraints. We also discuss a class of D-brane models based on type IIB superstring compactifications which have non-universal phases in the gaugino mass sector and allow large CP violating phases consistent with the EDM constraints through the cancellation mechanism. The scaling in these D-brane models and in a heterotic string model is also discussed.