  New sources of CP violation beyond the Standard Model are crucial to explain
the baryon asymmetry in the Universe. We discuss the impact of new CP violating
interactions in theories where a dark matter candidate is predicted by the
cancellation of gauge anomalies. In these theories, the constraint on the dark
matter relic density implies an upper bound on the new symmetry breaking scale
from which all new states acquire their masses. We investigate in detail the
predictions for electric dipole moments and show that if the relevant
CP-violating phase is large, experiments such as the ACME collaboration will be
able to fully probe the theory.
