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.

arXiv comment18 pages, references added, minor typos corrected, matches version published in JHEP

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Cited by in corpus (39)

• Unified Models of Neutrinos, Flavour and CP Violation
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• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• Lepton mixing from the interplay of the alternating group A5 and CP
• Mixing angle and phase correlations from A5 with generalised CP and their prospects for discovery
• Generalized $\mu$-$\tau$ symmetry and discrete subgroups of O(3)
• Implications of $\mu -\tau$ Flavored CP Symmetry of Leptons
• Leptogenesis and residual CP symmetry
• Deviation from Bimaximal Mixing and Leptonic CP Phases in $S_4$ Family Symmetry and Generalized CP
• Neutrino Mixing from CP Symmetry
• CP Symmetry and Lepton Mixing from a Scan of Finite Discrete Groups
• $A_4$ and CP symmetry and a model with maximal CP violation
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
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• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• Lepton Mixing Predictions from Infinite Group Series $D_{9n,3n}^{(1)}$ with Generalized CP
• The symmetry approach to quark and lepton masses and mixing
• Combining texture zeros with a remnant CP symmetry in the minimal type-I seesaw
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• Bottom-Up Discrete Symmetries for Cabibbo Mixing
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
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