Predicting Neutrino Mixing Angles Using Group Presentations
arXiv:2211.07785 · doi:10.1142/S0217751X23500392
Abstract
By assuming there exist three massive non-degenerate Majorana neutrinos, it is possible to describe neutrino mixing with a residual, unbroken discrete Klein subgroup of a larger spontaneously broken flavor symmetry group. Motivated by forthcoming measurements of leptonic CP violation, we revisit this framework by applying group presentation rules to it. We develop a method that is able to reproduce all previous results in the literature and may also hint at a possible group theoretical origin of CP violation in the Klein symmetry elements. This is due to the explicit appearance of a phase in them. However, for the cases considered in this analysis, it turns out that this phase can be removed. Still, this new method warrants further study.
arXiv comment14 pages. v3: References added, text further clarified, content matches version published in IJMPA
References in corpus (49)
- Observation of electron-antineutrino disappearance at Daya Bay
- Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
- Tri-Bimaximal Mixing and the Neutrino Oscillation Data
- The fate of hints: updated global analysis of three-flavor neutrino oscillations
- Neutrino Mass and Mixing with Discrete Symmetry
- 2020 Global reassessment of the neutrino oscillation picture
- Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
- Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
- Bi-Maximal Mixing of Three Neutrinos
- Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences
- Some Simple Mixing and Mass Matrices for Neutrinos
- Lepton mixing and discrete symmetries
- The Solar Neutrino Puzzle: An Oscillation Solution with Maximal Neutrino Mixing
- General RG Equations for Physical Neutrino Parameters and their Phenomenological Implications
- An Improved Measurement of Neutrino Oscillation Parameters by the NOvA Experiment
- Current unknowns in the three neutrino framework
- CP and Discrete Flavour Symmetries
- 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
- Icosahedral (A5) Family Symmetry and the Golden Ratio Prediction for Solar Neutrino Mixing
- Quantum corrections to neutrino masses and mixing angles
- The golden ratio prediction for the solar neutrino mixing
- CP Violation from Finite Groups
- Discrete Flavour Symmetries in Light of T2K
- Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
- Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
- Neutrinos on Earth and in the Heavens
- Correlated Hierarchy, Dirac Masses and Large Mixing Angles
- Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
- Cabibbo Haze in Lepton Mixing
- Golden Ratio Neutrino Mixing and Flavor Symmetry
- L/E-Flatness of the Electron-Like Event Ratio in Super-Kamiokande and a Degeneracy in Neutrino Masses
- The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry
- A Grand Delta(96) x SU(5) Flavour Model
- Discrete symmetries and model-independent patterns of lepton mixing
- Classification of lepton mixing matrices from finite residual symmetries
- Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
- TFH Mixing Patterns, Large and Flavor Symmetry
- Generalised CP and Family Symmetry
- Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
- A Bottom-Up Approach to Lepton Flavor and CP Symmetries
- Viewing Lepton Mixing through the Cabibbo Haze
- Phenomenological Study of Residual Z^s_2 and Zbar^s_2 Symmetries
- Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
- Perturbative Estimates of Lepton Mixing Angles in Unified Models
- Relating neutrino masses and mixings by discrete symmetries
- Canonical normalisation and Yukawa matrices
- Lepton Sector Phases and Their Roles in Flavor and Generalized CP Symmetries
- Bimaximal Neutrino Mixing with Discrete Flavour Symmetries