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A Grand-Unified Nelson-Barr Model
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abstract
We argue that the Nelson-Barr solution to the Strong CP Problem can be naturally realized in an E$_6$ Grand-Unified Theory. The chiral SM fermions reside in three generations of E$_6$ fundamentals together with heavy vectorlike down quarks, leptons doublets and right-handed neutrinos. CP is imposed on the Lagrangian and broken only spontaneously at high scales, leading to a mixing between chiral and vectorlike fields that allows to solve the Strong CP Problem through the Nelson-Barr mechanism. The main benefit of the E$_6$ GUT structure is the predictivity in the SM fermion sector, and a perfect fit to all SM observables can be obtained despite being over-constrained. Definite predictions are made for the neutrino sector, with a Dirac CP phase that is correlated to the CKM phase, allowing to test this model in the near future.
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Cited by 1 Pith paper
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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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