A Grand-Unified Nelson-Barr Model

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.

arXiv comment17 pages, 3 figures

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• Chiral Nelson--Barr Models: Quality and Cosmology
• Beyond the standard model with six-dimensional spinors
• Consequences of vector-like quarks of Nelson-Barr type
• High quality Nelson-Barr solution to the strong CP problem with $\theta =\pi$
• Solving the strong CP problem with non-conventional CP
• Flavor constraints for a Vector-like quark of Nelson-Barr type
• Leptonic CP violation from a vector-like lepton
• Revisiting the Minimal Nelson-Barr Model
• Explicit parametrization of more than one vector-like quark of Nelson-Barr type
• Automatic Nelson-Barr solutions to the strong CP puzzle
• Spontaneous CP Violation and the Strong CP Problem in Left-Right Symmetric Theories