Abstract
We present a supersymmetric solution to the strong CP problem based on spontaneous CP violation which simultaneously addresses the affects coming from supersymmetry breaking. The generated CP violating phase is communicated to the quark sector by interacting with a heavy quark a la Nelson-Barr. The Majorana mass of the right handed neutrinos is generated by interactions with the CP violating sector and so does not conserve CP. This gives the neutrino sector a non-trivial CP violating phase which can then generate the baryon asymmetry of the universe through leptogeneis. The problematic phase in the supersymmetry breaking parameters are suppressed by appealing to a particular gauge mediation model which naturally suppresses the phases of the tree-level gluino mass. This suppression plus the fact that in gauge mediation all loop generated flavor and CP violation is of the minimal flavor violation variety allows for a complete and consistent solution to the strong CP problem.
Highlights
Despite the fact that supersymmetry has evaded all observations, it remains a compelling model of nature which ameliorates the naturalness problem, provides a WIMP dark matter candidate, and leads to gauge coupling unification
We present a supersymmetric solution to the strong CP problem based on spontaneous CP violation which simultaneously addresses the effects coming from supersymmetry breaking
In this letter we have examined the Nelson-Barr solution to the strong CP problem in the context of supersymmetry
Summary
Despite the fact that supersymmetry has evaded all observations, it remains a compelling model of nature which ameliorates the naturalness problem, provides a WIMP dark matter candidate, and leads to gauge coupling unification. It is believed that quantum gravity does not respect global symmetries and this clever solution is sullied by Planck suppressed operators unless these operators are somehow forbidden up to dimension 10 This can be engineered by appealing to discrete gauge symmetries, these models tend to be complicated with little motivation beyond removing these problematic Planck suppressed operators which break the U(1) symmetry. A more appealing approach to the strong CP problem is to assume that CP is an exact symmetry which is spontaneously broken This may seem like another problematic global symmetry, it has been shown that the CP symmetry could be a gauge symmetry in extra dimensional models [3,4,5]. The paper is organized as follows: we overview the NelsonBarr mechanism in the framework of supersymmetry, present the potential problems of their merging, and show a complete and consistent model that resolves these problems
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