English

A Grand-Unified Nelson-Barr Model

High Energy Physics - Phenomenology 2018-12-05 v1

Abstract

We argue that the Nelson-Barr solution to the Strong CP Problem can be naturally realized in an E6_6 Grand-Unified Theory. The chiral SM fermions reside in three generations of E6_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 E6_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.

Keywords

Cite

@article{arxiv.1802.08109,
  title  = {A Grand-Unified Nelson-Barr Model},
  author = {Jakob Schwichtenberg and Paul Tremper and Robert Ziegler},
  journal= {arXiv preprint arXiv:1802.08109},
  year   = {2018}
}

Comments

17 pages, 3 figures

R2 v1 2026-06-23T00:30:15.635Z