Spontaneous CP violation from vacuum alignment in S4 models of leptons

By Gui-Jun Ding, S. King, C. Luhn, Alexander J. Stuart. 2013

134 citations recorded by the source corpus.

A bstractWe construct models of leptons based on S4 family symmetry combined with a generalised CP symmetry HCP. We show how the flavon potential can spontaneously break the symmetry S4 ⋊ HCP down to $ {Z_2}\times H_{CP}^v $ in the neutrino sector, where the choice of preserved CP symmetry $ H_{CP}^v $ is controlled by free (real) parameters in the flavon potential. We propose two realistic models of this kind, one at the effective level and one at the renormalisable level. Both models predict trimaximal lepton mixing with CP being either fully preserved or maximally broken, with the intermediate possibility forbidden by the structure of the models.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/09777307cd29dff2a5633cabb2e0d54b9083c9be

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In Nuclear and High Energy Physics

1. Z. Xing
2. A. Titov
3. P. Novichkov
4. S. Petcov
5. J. Penedo
6. Gui-Jun Ding
7. Xiang-Gan Liu
8. W. Rodejohann

Citations in the corpus

• Flavor structures of charged fermions and massive neutrinos (2019, background): “[1010, 1011, 1012, 1013]), unless a larger flavor symmetry group is chosen (see, e.”
• Generalised CP symmetry in modular-invariant models of flavour (2019, background): “The implications of combining the gCP symmetry with a flavour symmetry have been extensively studied for many discrete groups, including A4 [7,8], T ′ [9], S4 [6, 10–15] and A5 [16–19] (see also [20]).”
• Neutrino masses and mixing from double covering of finite modular groups (2019, background): “Discrete flavor symmetry in combination with generalized CP symmetry can give rise to rather predictive models [2–10], see [11] for a detailed list of references.”