Generalised CP symmetry in modular-invariant models of flavour

By P. Novichkov, J. Penedo, S. Petcov, A. Titov. Journal of High Energy Physics, 2019

139 citations recorded by the source corpus.

The formalism of combined finite modular and generalised CP (gCP) sym-metries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus τ 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 S4 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 being the only source of CP violation.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3638c9b232333ba524ddceb44627e8b661150061

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In Nuclear and High Energy Physics

1. Z. Xing
2. Xiang-Gan Liu
3. Gui-Jun Ding
4. F. Feruglio

In Statistical and Nonlinear Physics

1. Z. Xing
2. Xiang-Gan Liu
3. Gui-Jun Ding

Citations in the corpus

• Neutrino masses and mixing from double covering of finite modular groups (2019, background): “Moreover, the modular invariance has been extended to combine with generalized CP symmetry [31] such that the models can become more predictive.”
• Flavor structures of charged fermions and massive neutrinos (2019, methodology): “For example, the GCP symmetry has recently been combined with the modular flavor symmetries for model building [987].”