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Automatic Nelson-Barr solutions to the strong CP puzzle
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abstract
We discuss a simple model, based on the gauge group ${\rm SU}(3)_C\otimes {\rm SU}(2)_L \otimes \text{U}(1)_Y\otimes \text{U}(1)_R$, where the Nelson-Barr solution to the strong CP problem is implemented. This model automatically provides a high quality solution to the strong CP puzzle. Weak CP violation in the lepton sector arises in the same fashion as in the quark sector. We derive explicit expressions for the flavor changing couplings of the electroweak and Higgs bosons. These expressions are more general than the particular model considered. Constraints from finite naturalness are briefly discussed. We briefly also discuss related models based on the gauge group B-L.
Forward citations
Cited by 3 Pith papers
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Nelson-Barr Inflation
The Nelson-Barr CP-breaking scalar can serve as the inflaton in a hilltop potential, with post-inflationary energy too low to cross the CP-invariant ridge, thereby eliminating the domain-wall problem while providing r...
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Domain walls in Nelson-Barr axion model
The QCD instanton potential can act as a bias that collapses the domain walls of the Nelson-Barr axion, dynamically selecting the CP-conserving vacuum and yielding either dark matter or a NANOGrav-range gravitational ...
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Flavor Hierarchies the Right Way
Universal seesaw under a chiral U(1)_R forbids ordinary Yukawas except the top, generates charged-fermion and neutrino hierarchies, and realizes tree-level Nelson-Barr protection of strong CP.
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