CP and discrete flavour symmetries

By M. Holthausen, Manfred Lindner, M. Schmidt. 2012

219 citations recorded by the source corpus.

A bstractWe give a consistent definition of generalised CP transformations in the context of discrete flavour symmetries. Non-trivial consistency conditions imply that every generalised CP transformation can be interpreted as a representation of an automorphism of the discrete group. This allows us to give consistent generalised CP transformations of popular flavour groups. We are able to clear up issues concerning recent claims about geometrical CP violation in models based on T′, clarify the origin of ”calculable phases” in Δ(27) and explain why apparently CP violating scalar potentials of A4 result in a CP conserving ground state.

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

View Paper: https://www.semanticscholar.org/paper/c0cf1be3a85df62303648752ae3fe079d7781c36

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. S. King

In Nuclear and High Energy Physics

1. Z. Xing
2. S. Petcov
3. P. Novichkov
4. A. Titov
5. J. Penedo
6. S. King
7. Gui-Jun Ding
8. C. Luhn

In Statistical and Nonlinear Physics

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

Citations in the corpus

• Unification of flavor, CP, and modular symmetries (2019, background): “More recently, however, it was suggested that CP should be considered as an outer automorphism of the flavor group [1–5].”
• Spontaneous CP violation from vacuum alignment in S4 models of leptons (2013, background): “The mapping of φ under a generalised CP transformation is given by [12– 14, 17, 27, 43]: φ(x) CP −→ Xr φ∗(x′) , (2.”
• Generalised CP symmetry in modular-invariant models of flavour (2019, background): “This equation defines the consistency condition, which has to be respected for consistent implementation of a gCP symmetry along with a flavour symmetry, provided the full flavour symmetry group Gf has been correctly identified [6, 7].”
• Flavor structures of charged fermions and massive neutrinos (2019, background): “It has recently been improved or extended in two aspects: on the one hand, the flavor symmetry group is combined with the “generalized CP” (GCP) transformation [957, 958] so as to predict or constrain the Majorana phases of CP violation; on the other hand, the flavor symmetry group is combined with ”
• 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.”