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Strong-weak CP hierarchy from non-renormalization theorems

Gudrun Hiller·Martin Schmaltz
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Abstract

We point out that the hierarchy between the measured values of the 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 non-renormalization theorem while the CKM phase is not. We present explicit examples of models which exploit this fact and discuss corrections to the non-renormalization theorem in the presence of supersymmetry breaking. This framework for solving the strong CP problem has generic predictions for the superpartner spectrum, for CP and flavor violation, and predicts a preferred range of values for electric dipole moments.

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Gudrun Hiller, Martin Schmaltz. 2002-01-27. Strong-weak CP hierarchy from non-renormalization theorems. https://doi.org/10.1103/physrevd.65.096009

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