Symmetry of Lepton Mixing

Abstract

Neutrino mixing is studied from a symmetry perspective, both bottom-up and top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups capable of reproducing the mixng without adjustment of parameters. This list, labeled by an integer $n\ge 3$, is explicitly calculated for $n=3$. In the top-down approach, we start from any finite group possessing a three-dimensional irreducible representation and an order-2 element, give a recipe to determine what mixing pattern it contains, and how to construct a dynamical model to reveal a particular mixing. Finally, we point out that if quark mixing is controlled by symmetry in this way, then there is an exciting possibility to determine most of the CKM mixing parameters by symmetry alone.

Publication version (Phys. Letts). One footnote and two references added

References in corpus (48)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• A_4 Symmetry and Neutrinos with Very Different Masses
• A 2-3 Symmetry in Neutrino Oscillations
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• The Flavor Symmetry
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Tribimaximal Neutrino Mixing from a Supersymmetric Model with A_4 Family Symmetry
• A Redetermination of the Neutrino Mass-Squared Difference in Tri-Maximal Mixing with Terrestrial Matter Effects
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Neutrino Mass Matrix from S_4 Symmetry
• The Simplest Neutrino Mass Matrix
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• Phenomenological Tests of Supersymmetric A_4 Family Symmetry Model of Neutrino Mass
• Softly broken lepton numbers and maximal neutrino mixing
• Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
• Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry
• A_4 symmetry and prediction of U_{e3} in a modified Altarelli-Feruglio model
• Neutrino Mass Matrix from Delta(27) Symmetry
• The All-Purpose Neutrino Mass Matrix
• Suitability of A_4 as a Family Symmetry in Grand Unification
• Theta-13 as a Probe of Mu-Tau symmetry for Leptons
• Quark Mass Matrices in the A_4 Model
• S3 x Z2 model for neutrino mass matrices
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• Mass Independent Textures and Symmetry
• Exact $S_3$ symmetry solving the supersymmetric flavor problem
• A model realizing the Harrison-Perkins-Scott lepton mixing matrix
• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• Predictions of an A_4 model with a five-parameter neutrino mass matrix
• Permutation Symmetry S_3 and VEV Structure of Flavor-Triplet Higgs Scalars
• Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization
• Connecting Leptogenesis to CP Violation in Neutrino Mixings in a Tri-bimaximal Mixing model
• Majorana Phase in Minimal S_3 Invariant Extension of the Standard Model
• Constraining {\it CP} violation in a softly broken $A_4$ symmetric Model
• Friedberg-Lee Symmetry Breaking and Its Prediction for theta_13
• S_3 Flavor Symmetry and Leptogenesis
• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$
• Neutrino Mixing and Leptogenesis in Type II Seesaw Mechanism
• Neutrinos and SU(3) Family Gauge Symmetry
• SU(3) Family Gauge Symmetry and the Axion

Cited by in corpus (136)

• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Finite Modular Groups and Lepton Mixing
• Flavor structures of charged fermions and massive neutrinos
• The Unique Horizontal Symmetry of Leptons
• Possible Alternatives to Tri-bimaximal Mixing
• The Horizontal Symmetry for Neutrino Mixing
• A review of mu-tau flavor symmetry in neutrino physics
• Discrete Flavour Symmetries in Light of T2K
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Higgs $\to \mu \tau$ in Abelian and Non-Abelian Flavor Symmetry Models
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• The Flavor Group Delta(6n^2)
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• The 3-3-1 model with S_4 flavor symmetry
• Discrete symmetries and model-independent patterns of lepton mixing
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• The S_3 flavor symmetry in 3-3-1 models
• Simple Finite Non-Abelian Flavor Groups
• A new family symmetry for SO(10) GUTs
• Lepton Flavour Violation in a Supersymmetric Model with A4 Flavour Symmetry
• Quark and Leptonic Mixing Patterns from the Breakdown of a Common Discrete Flavor Symmetry
• Generalized $\mu$-$\tau$ symmetry and discrete subgroups of O(3)
• Finite Symmetry of Leptonic Mass Matrices
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• TFH Mixing Patterns, Large ${\theta }_{13}$ and $\Delta (96)$ Flavor Symmetry
• The 3-3-1 model with A_4 flavor symmetry
• A Supersymmetric D4 Model for mu-tau Symmetry
• Observable T_7 Lepton Flavor Symmetry at the Large Hadron Collider
• Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry
• Simple two Parameter Description of Lepton Mixing
• Tri-bimaximal lepton mixing from symmetry only
• Dirac Neutrinos with $S_4$ Flavor Symmetry in Warped Extra Dimensions
• The minimal seesaw and leptogenesis models
• Mixing Patterns from the Groups Sigma (n phi)
• Neutrino Mixings and the S4 Discrete Flavour Symmetry
• Getting at large theta_13 with almost maximal theta_23 from tri-bimaximal mixing
• Lepton and Quark Mixing Patterns from Finite Flavor Symmetries
• Flavor and CP symmetries for leptogenesis and 0nubb decay
• CP Violation in the Lepton Sector and Implications for Leptogenesis
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• Neutrino Mixings in SO(10) with Type II Seesaw and theta_{13}
• Group Theory and Dynamics of Neutrino Mixing
• Quark and Lepton Flavor Triality
• Leptons in Holographic Composite Higgs Models with Non-Abelian Discrete Symmetries
• Simplified Models of Flavourful Leptoquarks
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Neutrino Tribimaximal Mixing from A_4 Alone
• On the finite subgroups of U(3) of order smaller than 512
• theta_C from the Dihedral Flavor Symmetries D_7 and D_14
• CP Symmetry and Lepton Mixing from a Scan of Finite Discrete Groups
• $A_4$ and CP symmetry and a model with maximal CP violation
• Perturbative Estimates of Lepton Mixing Angles in Unified Models
• The Cabibbo Angle in a Supersymmetric D14 Model
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• mu-tau Symmetry and Charged Lepton Mass Hierarchy in a Supersymmetric D4 Model
• Lepton Mixing Predictions from Infinite Group Series $D_{9n,3n}^{(1)}$ with Generalized CP
• The symmetry approach to quark and lepton masses and mixing
• Residual Z2 x Z2 symmetries and lepton mixing
• Discrete symmetries and models of flavor mixing
• A Unified Model of Quarks and Leptons with a Universal Texture Zero
• General Lepton Mixing in Holographic Composite Higgs Models
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Relating neutrino masses and mixings by discrete symmetries
• Horizontal symmetries of leptons with a massless neutrino
• Implications of residual CP symmetry for leptogenesis in a model with two right-handed neutrinos
• Discrete flavour symmetries for degenerate solar neutrino pair and their predictions
• D14 - A Common Origin of the Cabibbo Angle and the Lepton Mixing Angle theta^l_13
• Triminimal Parametrization of Quark Mixing Matrix
• Is the tri-bimaximal mixing accidental?
• Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries
• A massless neutrino and lepton mixing patterns from finite discrete subgroups of U(3)
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Unitarity constraints on trimaximal mixing
• Quark mixing from Delta(6N^2) family symmetry
• Generalization of Friedberg-Lee Symmetry
• Finite Family Groups for Fermionic and Leptoquark Mixing Patterns
• Intrinsic Deviation from the Tri-bimaximal Neutrino Mixing in a Class of A_4 Flavor Models
• Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• Model of flavor with quaternion symmetry
• Neutrino masses and mixing in $A_5$ with flavour antisymmetry
• Horizontal Symmetries $\Delta (150)$ and $\Delta (600)$
• Neutrino mixing in SO(10) GUTs with non-abelian flavor symmetry in the hidden sector
• Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing
• A model of quarks with Delta (6N^2) family symmetry
• Theory of the Neutrino Mass
• Discrete symmetries and mixing of Dirac neutrinos
• Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix
• Symmetry based parameterizations of the lepton mixing matrix
• Lepton and Quark Mixing from Stepwise Breaking of Flavor and CP
• Baryon asymmetry via leptogenesis in a neutrino mass model with complex scaling
• Residual $Z_2$ symmetries and leptonic mixing patterns from finite discrete subgroups of $U(3)$
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Neutrino masses and lepton mixing from $A_5\times \mathrm{CP}$
• Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis
• Importance of generalized $\mu \tau$ symmetry and its CP extension on neutrino mixing and leptogenesis
• Hidden flavor symmetries of SO(10) GUT
• FCNC-free multi-Higgs-doublet models from broken family symmetries
• mu-tau symmetry in Zee-Babu model
• A Built-in Horizontal Symmetry of $SO(10)$
• Is θ_{13}^{PMNS} correlated with θ_{23}^{PMNS} or not?
• Horizontal Symmetry
• Phenomenology of Discrete Flavour Symmetries
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• New Prediction For Leptonic Theta_13
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Reconstructing Effective Lagrangians Embedding Residual Family Symmetries
• No-go limitations on UV completions of the Neutrino Option
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• Pseudo-Dirac neutrinos from flavour dependent CP symmetry
• Tetrahedral Symmetry A${}_4$ in Anti-SU(5) GUT
• Coxeter groups and the PMNS matrix
• Dihedral flavor group as the key to understand quark and lepton flavor mixing
• Lepton and Quark Masses and Mixing in a SUSY Model with Delta(384) and CP
• Revisiting the Universal Texture Zero of Flavour: a Markov Chain Monte Carlo Analysis
• Asymmetric tri-bi-maximal mixing and residual symmetries
• Residual Symmetries and Scalar Multiplet Vacuum Alignment in Non-Abelian Flavour Models
• Flavour anomalies meet flavour symmetry
• Effects on sinθ_{12} from perturbation of the neutrino mixing matrix with the partially degenerated neutrino masses
• Horizontal Symmetry from the Bottom Up
• Theories of Leptonic Flavor
• CKM matrix and flavor symmetries
• Generation as Compositeness: A Subconstituent Interpretation of the $B$-Lattice Flavor Hierarchy
• New Parametrization of Neutrino Mixing Matrix
• Chiral perturbative analysis for an almost massless neutrino in the type-I seesaw mechanism
• Theory and phenomenology of Dirac neutrinos
• A discrete anatomy of the neutrino mass matrix
• Involution symmetries and the PMNS matrix