Lepton Mixing in $A_5$ Family Symmetry and Generalized CP

Abstract

We study lepton mixing patterns which can be derived from the $A_5$ family symmetry and generalized CP. We find five phenomenologically interesting mixing patterns for which one column of the PMNS matrix is $(\sqrt{\frac{5+\sqrt{5}}{10}},\frac{1}{\sqrt{5+\sqrt{5}}},\frac{1}{\sqrt{5+\sqrt{5}}}{)}^T$ (the first column of the golden ratio mixing), $(\sqrt{\frac{5-\sqrt{5}}{10}},\frac{1}{\sqrt{5-\sqrt{5}}},\frac{1}{\sqrt{5-\sqrt{5}}}{)}^T$ (the second column of the golden ratio mixing), $(1,1,1{)}^T/\sqrt{3}$ or $(\sqrt{5}+1,-2,\sqrt{5}-1{)}^T/4$. The three lepton mixing angles are determined in terms of a single real parameter $\theta$, and agreement with experimental data can be achieved for certain values of $\theta$. The Dirac CP violating phase is predicted to be trivial or maximal while Majorana phases are trivial. We construct a supersymmetric model based on $A_5$ family symmetry and generalized CP. The lepton mixing is exactly the golden ratio pattern at leading order, and the mixing patterns of case III and case IV are reproduced after higher order corrections are considered.

47 pages, 10 figures

References in corpus (18)

• Improved Measurement of Electron Antineutrino Disappearance at Daya Bay
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• Symmetry of Lepton Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Predicting the Values of the Leptonic CP Violation Phases
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• Generalised CP and $\Delta (96)$ Family Symmetry
• Lepton Flavor Mixing and CP Symmetry
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• An SU(5) x A5 Golden Ratio Flavour Model
• LBNO-DEMO: Large-scale neutrino detector demonstrators for phased performance assessment in view of a long-baseline oscillation experiment
• Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos
• Optimised sensitivity to leptonic CP violation from spectral information: the LBNO case at 2300 km baseline
• The LBNO long-baseline oscillation sensitivities with two conventional neutrino beams at different baselines

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