Lepton Mixing Predictions from Infinite Group Series $D_{9n,3n}^{(1)}$ with Generalized CP

Abstract

We have performed a comprehensive analysis of the type D group $D_{9n,3n}^{(1)}$ as flavor symmetry and the generalized CP symmetry. All possible residual symmetries and their consequences for the prediction of the mixing parameters are studied. We find that only one type of mixing pattern is able to accommodate the measured values of the mixing angles in both "direct" and "variant of semidirect" approaches, and four types of mixing patterns are phenomenologically viable in the "semidirect" approach. The admissible values of the mixing angles as well as CP violating phases are studied in detail for each case. It is remarkable that the first two smallest $D_{9n,3n}^{(1)}$ groups with $n=1,2$ can fits the experimental data very well. The phenomenological predictions for neutrinoless double beta decay are discussed.

63 pages, 18 figures

References in corpus (23)

• Big-Bang Nucleosynthesis
• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Neutrino oscillations refitted
• Search for Neutrinoless Double-Beta Decay in ${}^{136}$Xe with EXO-200
• Limit on Neutrinoless ββ Decay of Xe-136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge-76
• Improved Measurement of Electron Antineutrino Disappearance at Daya Bay
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• Symmetry of Lepton Mixing
• The Flavor Group Delta(6n^2)
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• 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
• Generalized $\mu -\tau$ reflection symmetry and leptonic CP violation
• Classification of lepton mixing matrices from finite residual symmetries
• Generalised CP and $\Delta (96)$ Family Symmetry
• Lepton Flavor Mixing and CP Symmetry
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• Neutrino Pair Emission from Excited Atoms
• LBNO-DEMO: Large-scale neutrino detector demonstrators for phased performance assessment in view of a long-baseline oscillation experiment
• Optimised sensitivity to leptonic CP violation from spectral information: the LBNO case at 2300 km baseline

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