Discrete symmetries and model-independent patterns of lepton mixing

Abstract

In the context of discrete flavor symmetries, we elaborate a method that allows one to obtain relations between the mixing parameters in a model-independent way. Under very general conditions, we show that flavor groups of the von Dyck type, that are not necessarily finite, determine the absolute values of the entries of one column of the mixing matrix. We apply our formalism to finite subgroups of the infinite von Dyck groups, such as the modular groups, and find cases that yield an excellent agreement with the best fit values for the mixing angles. We explore the Klein group as the residual symmetry of the neutrino sector and explain the permutation property that appears between the elements of the mixing matrix in this case.

22 pages, 12 figures

References in corpus (23)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Finite Modular Groups and Lepton Mixing
• Evidence of theta(13)>0 from global neutrino data analysis
• Lepton mixing and discrete symmetries
• Possible Alternatives to Tri-bimaximal Mixing
• Residual Symmetries for Neutrino Mixing with a Large theta_13 and Nearly Maximal delta_D
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Symmetry of Lepton Mixing
• Fermion Masses and Mixings in a S4 Based Model
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Tribimaximal Neutrino Mixing from a Supersymmetric Model with A_4 Family Symmetry
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• A model for trimaximal lepton mixing
• Minimal Modification to Tri-bimaximal Mixing
• S4 as a natural flavor symmetry for lepton mixing
• The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry
• Mass Independent Textures and Symmetry
• Common Origin of Soft mu-tau and CP Breaking in Neutrino Seesaw and the Origin of Matter

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