A Bottom-Up Approach to Lepton Flavor and CP Symmetries

Abstract

We perform a model-independent analysis of the possible residual Klein and generalized CP symmetries associated with arbitrary lepton mixing angles in the case that there are three light Majorana neutrino species. This approach emphasizes the unique role of the Majorana phases and provides a useful framework in which to discuss the origin of the Dirac CP phase in scenarios with spontaneously broken flavor and generalized CP symmetries. The method is shown to reproduce known examples in the literature based on tribimaximal and bitrimaximal mixing patterns, and is used to investigate these issues for the case of a particular (GR1) golden ratio mixing pattern.

18 pages, references added, minor typos corrected, matches version published in JHEP

References in corpus (24)

• Big-Bang Nucleosynthesis
• Observation of electron-antineutrino disappearance at Daya Bay
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Neutrino oscillations refitted
• The golden ratio prediction for the solar neutrino mixing
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• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Predicting the Values of the Leptonic CP Violation Phases
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• Rephasing Invariants of Quark and Lepton Mixing Matrices
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• Tribimaximal Mixing From Small Groups
• Classification of lepton mixing matrices from finite residual symmetries
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Generalised CP and $\Delta (96)$ Family Symmetry
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Lepton Flavor Mixing and CP Symmetry
• Testing solar lepton mixing sum rules in neutrino oscillation experiments
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Supersymmetric Jarlskog Invariants: the Neutrino Sector
• [Re]constructing Finite Flavour Groups: Horizontal Symmetry Scans from the Bottom-Up

Cited by in corpus (8)

• $A_4$ and CP symmetry and a model with maximal CP violation
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• The symmetry approach to quark and lepton masses and mixing
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• CP Symmetries as Guiding Posts: Revamping Tri-Bi-Maximal Mixing-I
• Dihedral flavor group as the key to understand quark and lepton flavor mixing
• Predicting Neutrino Mixing Angles Using Group Presentations
• On Bimaximal Neutrino Mixing and GUT's