Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation

Abstract

The current status of our knowledge of the 3-neutrino mixing parameters and of the CP violation in the lepton sector is summarised. The discrete symmetry approach to understanding the observed pattern of neutrino mixing and the related predictions for neutrino mixing angles and leptonic Dirac CP violation are reviewed.

50 pages, 5 tables, 5 figures; discussion in section 3.7 expanded, 2 figures and references added; matches the published version

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• Possible Alternatives to Tri-bimaximal Mixing
• Leptogenesis and Low Energy CP Violation in Neutrino Physics
• The Horizontal Symmetry for Neutrino Mixing
• Current unknowns in the three neutrino framework
• Connecting Low Energy Leptonic CP-violation to Leptogenesis
• Symmetry of Lepton Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• The golden ratio prediction for the solar neutrino mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• A model for trimaximal lepton mixing
• The Flavor Group Delta(6n^2)
• Experimental Requirements to Determine the Neutrino Mass Hierarchy Using Reactor Neutrinos
• Neutrino Mass Hierarchy
• Flavor Symmetry for Quarks and Leptons
• Golden Ratio Prediction for Solar Neutrino Mixing
• Predicting the Values of the Leptonic CP Violation Phases
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Determination of Neutrino Mass Hierarchy and Theta_13 with a Remote Detector of Reactor Antineutrinos
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• A new family symmetry for SO(10) GUTs
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Generalised CP and $\Delta (96)$ Family Symmetry
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• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• An SU(5) x A5 Golden Ratio Flavour Model
• Quark and lepton mixing angles with a dodeca-symmetry
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos
• Neutrino Mass Hierarchy Determination Using Reactor Antineutrinos
• Addressing Neutrino Mixing Models with DUNE and T2HK
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Predictions for the Dirac CP Violation Phase in the Neutrino Mixing Matrix
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules

Cited by in corpus (89)

• First measurement of neutrino oscillation parameters using neutrinos and antineutrinos by NOvA
• Flavor structures of charged fermions and massive neutrinos
• An Improved Measurement of Neutrino Oscillation Parameters by the NOvA Experiment
• Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries
• CP violation of quarks in $A_4$ modular invariance
• Modular $A_5$ Symmetry for Flavour Model Building
• Generalised CP Symmetry in Modular-Invariant Models of Flavour
• Modular $S_4$ Models of Lepton Masses and Mixing
• Finite modular subgroups for fermion mass matrices and baryon/lepton number violation
• Double Cover of Modular $S_4$ for Flavour Model Building
• A modular $A_4$ symmetry realization of two-zero textures of the Majorana neutrino mass matrix
• A modular $A_4$ symmetric model of dark matter and neutrino
• Modular $S_3$ symmetric radiative seesaw model
• New $A_4$ lepton flavor model from $S_4$ modular symmetry
• A modular $A_4$ symmetric scotogenic model
• $A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry
• Modular $S_3$ invariant flavor model in SU(5) GUT
• Revisiting modular symmetry in magnetized torus and orbifold compactifications
• Baryogenesis from ultralight primordial black holes and strong gravitational waves from cosmic strings
• Type II seesaw models with modular $A_4$ symmetry
• Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries
• Modular symmetry by orbifolding magnetized $T^2\times T^2$: realization of double cover of ${\Gamma }_N$
• Modular invariant flavor model of ${\mathrm{A}}_4$ and hierarchical structures at nearby fixed points
• $CP$ violation in modular invariant flavor models
• Lepton flavor model with modular $A_4$ symmetry in large volume limit
• Spontaneous CP violation by modulus $\tau$ in $A_4$ model of lepton flavors
• A radiative seesaw model with three Higgs doublets in modular $A_4$ symmetry
• Modular symmetry in the SMEFT
• Quark and lepton hierarchies from $S_4^{\prime }$ modular flavor symmetry
• Modulus $\tau$ linking leptonic CP violation to baryon asymmetry in $A_4$ modular invariant flavor model
• Quark hierarchical structures in modular symmetric flavor models at level 6
• Quark mass hierarchies and CP violation in $A_4\times A_4\times A_4$ modular symmetric flavor models
• Moduli inflation from modular flavor symmetries
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• More about quark Yukawa textures from selection rules without group actions
• The Impact of Different Parameterizations on the Interpretation of CP Violation in Neutrino Oscillations
• Inverse Seesaw Model with a Modular $S_4^{}$ Symmetry: Lepton Flavor Mixing and Warm Dark Matter
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Lepton mass textures from non-invertible multiplication rules
• Exploring Partial $\mu$-$\tau$ Reflection Symmetry at DUNE and Hyper-Kamiokande
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Texture zeros of quark mass matrices at fixed point $\tau =\omega$ in modular flavor symmetry
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• A low-scale flavon model with a $Z_N$ symmetry
• Probing Lepton Flavor Models at Future Neutrino Experiments
• Finite modular axion and radiative moduli stabilization
• Soft supersymmetry breaking terms and lepton flavor violations in modular flavor models
• Testing Lepton Flavor Models at ESSnuSB
• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Low scale type I seesaw model for lepton masses and mixings
• Lepton mass matrix from double covering of $A_4$ modular flavor symmetry
• 4D modular flavor symmetric models inspired by higher dimensional theory
• Integral solutions to the one-loop renormalization-group equations for lepton flavor mixing parameters and the Jarlskog invariant
• Moduli trapping mechanism in modular flavor symmetric models
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• Expanding neutrino oscillation parameter measurements in NOvA using a Bayesian approach
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Flavour effects in gravitational leptogenesis
• Low energy phenomena of the lepton sector in an $A_4$ symmetry model with heavy inverse seesaw neutrinos
• Importance of generalized $\mu \tau$ symmetry and its CP extension on neutrino mixing and leptogenesis
• Neutrino phenomenology in the flavored NMSSM without domain wall problems
• Linear seesaw model with a modular $S_4$ flavor symmetry
• Roles of sterile neutrinos in particle physics and cosmology
• Exploring the flavor structure of quarks and leptons with reinforcement learning
• Non-holomorphic modular flavor symmetry and odd weight polyharmonic Maaß form
• Discrete symmetries and Efficient Counting of Operators
• Phenomenological implications of the Friedberg-Lee transformation in a neutrino mass model with $\mu \tau$-flavored CP symmetry
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Minimal eclectic flavor group $Q_8⋊S_3$ and neutrino mixing
• Viability of $A_4$, $S_4$ and $A_5$ Flavour Symmetries in Light of the First JUNO Result
• Symmetries of stationary points of the $G$-invariant potential and the framework of the auxiliary group
• Scalar triplet leptogenesis in the presence of right-handed neutrinos with S3 symmetry
• Predictions for the Leptonic Dirac CP-Violating Phase
• Modular-symmetry-protected seesaw
• Improving heavy Dirac neutrino prospects at future hadron colliders using machine learning
• The problem of flavour
• Generalized Matter Parities from Finite Modular Symmetries
• Flavored Peccei-Quinn symmetries in the minimal $\nu$DFSZ model
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$
• Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry
• Standard and Non-Standard Aspects of Neutrino Physics
• Quark and lepton flavor model with leptoquarks in a modular $A_4$ symmetry
• Neutrino Oscillations in the Three Flavor Paradigm
• Diffusion-model approach to flavor models: A case study for $S_4^{\prime }$ modular flavor model
• Gravitational wave complementarity and impact of NANOGrav data on gravitational leptogenesis: cosmic strings
• Exploring the flavor structure of leptons via diffusion models
• Modular Flavour Symmetries and Modulus Stabilisation