English

Generalised CP Symmetry in Modular-Invariant Models of Flavour

High Energy Physics - Phenomenology 2019-08-16 v2 High Energy Physics - Theory

Abstract

The formalism of combined finite modular and generalised CP (gCP) symmetries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus τ\tau and on the matter fields are derived. The implications of gCP symmetry in theories of flavour based on modular invariance described by finite modular groups are illustrated with the example of a modular S4S_4 model of lepton flavour. Due to the addition of the gCP symmetry, viable modular models turn out to be more constrained, with the modulus τ\tau being the only source of CP violation.

Keywords

Cite

@article{arxiv.1905.11970,
  title  = {Generalised CP Symmetry in Modular-Invariant Models of Flavour},
  author = {P. P. Novichkov and J. T. Penedo and S. T. Petcov and A. V. Titov},
  journal= {arXiv preprint arXiv:1905.11970},
  year   = {2019}
}

Comments

40 pages, 3 figures, 3 tables; several comments added; typos corrected; figures rasterised; matches version published in JHEP