We present an analysis of the electric dipole moment (EDM) of the deuteron as induced by CP-violating operators of dimension 4, 5 and 6 including theta(QCD), the EDMs and color EDMs of quarks, four-quark interactions and the Weinberg operator. We demonstrate that the precision goal of the EDM Collaboration's proposal to search for the deuteron EDM, (1-3)x10(-27)e cm, will provide an improvement in sensitivity to these sources of one to two orders of magnitude relative to the existing bounds. We consider in detail the level to which CP-odd phases can be probed within the minimal supersymmetric standard model.
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