Abstract
We point out that the hierarchy between the measured values of the Cabibbo-Kobayashi-Maskawa (CKM) phase and the strong CP phase has a natural origin in supersymmetry with spontaneous CP violation and low-energy supersymmetry breaking. The underlying reason is simple and elegant: in supersymmetry the strong CP phase is protected by an exact nonrenormalization theorem while the CKM phase is not. We present explicit examples of models that exploit this fact and discuss corrections to the nonrenormalization theorem in the presence of supersymmetry breaking. This framework for solving the strong CP problem has generic predictions for the superpartner spectrum and for CP and flavor violation, and predicts a preferred range of values for electric dipole moments.
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