Large CP Phases and the Cancellation Mechanism in EDMs in SUSY, String and Brane Models

We show that in theories with radiatively induced electro-weak symmetry breaking the EDMs obey a simple approximate scaling under the transformation m0 → λm0, m 1 2 → λm 1 2 in the large μ region. In the scaling region the knowledge of a single point in the MSSM parameter space where the cancellation in the EDMs occur allows one to generate a trajectory in the m0 −m 1 2 plane where the cancellation mechanism holds and the EDMs are small. We illustrate these results for MSSM with radiative electro-weak 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.