A review of mu-tau flavor symmetry in neutrino physics

Abstract

Behind the observed pattern of lepton flavor mixing is a partial or approximate mu-tau flavor symmetry --- a milestone on our road to the true origin of neutrino masses and flavor structures. In this review article we first describe the features of mu-tau permutation and reflection symmetries, and then explore their various consequences on model building and neutrino phenomenology. We pay particular attention to soft mu-tau symmetry breaking, which is crucial for our deeper understanding of the fine effects of flavor mixing and CP violation.

105 pages, 10 figures. The text reorganized, more references added, minor typos fixed. Invited review article being published in Reports on Progress in Physics

References in corpus (60)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• The Reactor Antineutrino Anomaly
• Leptogenesis
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Neutrino oscillations refitted
• Unitarity of the Leptonic Mixing Matrix
• Non-unitarity of the leptonic mixing matrix: Present bounds and future sensitivities
• Flavor Composition and Energy Spectrum of Astrophysical Neutrinos
• The Unique Horizontal Symmetry of Leptons
• Possible Alternatives to Tri-bimaximal Mixing
• The Horizontal Symmetry for Neutrino Mixing
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• 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
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• A model for trimaximal lepton mixing
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• S_4 Flavored CP Symmetry for Neutrinos
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Flavor Ratios of Astrophysical Neutrinos: Implications for Precision Measurements
• Mass Independent Textures and Symmetry
• New GUT predictions for quark and lepton mass ratios confronted with phenomenology
• On the origin of neutrino flavour symmetry
• Predicting the Values of the Leptonic CP Violation Phases
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• U_{PMNS} = U_ell^dagger U_nu
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• Testing neutrino flavor mixing plus decay with neutrino telescopes
• Generalized $\mu -\tau$ reflection symmetry and leptonic CP violation
• Implications of Leptonic Unitarity Violation at Neutrino Telescopes
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Grand unification of $\mu -\tau$ Symmetry
• Flavor symmetries, leptogenesis and the absolute neutrino mass scale
• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• Towards Determination of the Initial Flavor Composition of Ultrahigh-energy Neutrino Fluxes with Neutrino Telescopes
• Large U_{e3} and Tri-bimaximal Mixing
• Neutrino Telescopes as a Probe of Broken $\mu$-$\tau$ Symmetry
• Possible Capture of keV Sterile Neutrino Dark Matter on Radioactive beta-decaying Nuclei
• Group Theory and Dynamics of Neutrino Mixing
• A Generic Diagonalization of the 3X3 Neutrino Mass Matrix and Its Implications on the mu-tau Flavor Symmetry and Maximal CP Violation
• Radiatively broken symmetries of nonhierarchical neutrinos
• On the four-zero texture of quark mass matrices and its stability
• A partial $\mu$-$\tau$ symmetry and its prediction for leptonic CP violation
• [Re]constructing Finite Flavour Groups: Horizontal Symmetry Scans from the Bottom-Up
• Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos
• $\mu -\tau$ Symmetry and Radiatively Generated Leptogenesis
• Neutrino Mixing and CP Phase Correlations
• Friedberg-Lee Symmetry Breaking and Its Prediction for theta_13
• Hidden Symmetry of the CKM and Neutrino Mapping Matrices
• Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking
• Neutrino Sector with Majorana Mass Terms and Friedberg-Lee Symmetry
• Quark Mass Hierarchy and Flavor Mixing Puzzles
• Jarlskog Invariant of the Neutrino Mapping Matrix
• Minimal modifications to the Tri-Bimaximal neutrino mixing
• Leptogenesis in a model with Friedberg-Lee symmetry
• Leptonic CP Violation and Wolfenstein Parametrization for Lepton Mixing
• Neutrino Mixing and Leptogenesis in $\mu -\tau$ Symmetry

Cited by in corpus (116)

• Flavor structures of charged fermions and massive neutrinos
• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• Prospects for exploring New Physics in Coherent Elastic Neutrino-Nucleus Scattering
• A light complex scalar for the electron and muon anomalous magnetic moments
• Measurement of the neutrino mixing angle ${\theta }_{23}$ in NOvA
• Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a $U(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Trimaximal $\mu$-$\tau$ reflection symmetry
• The minimal seesaw and leptogenesis models
• A Light Higgs at the LHC and the B-Anomalies
• Nonmaximal ${\theta }_{23}$ mixing at NOvA from neutrino decoherence
• Radiative neutrino masses, lepton flavor mixing and muon $g-2$ in a leptoquark model
• Classifying CP transformations according to their texture zeros: theory and implications
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• Reconciling dark matter, $R_{K^{(\ast )}}$ anomalies and $(g-2{)}_{\mu }$ in an $L_{\mu }-L_{\tau }$ scenario
• The symmetry approach to quark and lepton masses and mixing
• Decoherence, matter effect, neutrino hierarchy signature in long baseline experiments
• Mu-tau symmetry and the Littlest Seesaw
• Non-Minimal Flavored ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ Left-Right Symmetric Model
• Mu-tau reflection symmetry with a texture-zero
• The $\mu$-$\tau$ mixed symmetry and neutrino mass matrix
• Analytical approximations for matter effects on CP violation in the accelerator-based neutrino oscillations with E \lesssim 1 GeV
• New oscillation and scattering constraints on the tau row matrix elements without assuming unitarity
• New Benchmark Models for Heavy Neutral Lepton Searches
• Mu-tau reflection symmetry with a high scale texture-zero
• The $\mu -\tau$ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections
• Transition Probabilities in the Two-Level Quantum System with PT-Symmetric Non-Hermitian Hamiltonians
• The effective neutrino mass of neutrinoless double-beta decays: how possible to fall into a well
• Neutrino Masses, Leptonic Flavor Mixing and Muon $(g-2)$ in the Seesaw Model with the $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ Gauge Symmetry
• A 2HDM for the g-2 and Dark Matter
• Common Origin of Non-zero ${\theta }_{13}$ and Baryon Asymmetry of the Universe in a TeV scale Seesaw Model with $A_4$ Flavour Symmetry
• A combination of the neutrino trimaximal mixings and mu-tau reflection symmetry in the type-I seesaw model
• Testing generalized CP symmetries with precision studies at DUNE
• Renormalization-Group Equations of Neutrino Masses and Flavor Mixing Parameters in Matter
• Consequences of $\mu -\tau$ Reflection Symmetry at DUNE
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Interplay between $\mu$-$\tau$ reflection symmetry, four-zero texture and universal texture
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• Impact of high energy beam tunes on the sensitivities to the standard unknowns at DUNE
• Exploring Partial $\mu$-$\tau$ Reflection Symmetry at DUNE and Hyper-Kamiokande
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Mu-Tau Reflection Symmetry in the Standard Parametrization and Contributions from Charged Lepton Sector
• On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• On the two-loop radiative origin of the smallest neutrino mass and the associated Majorana CP phase
• Hunting the Glashow Resonance with PeV Neutrino Telescopes
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Golden Littlest Seesaw
• Non-zero ${\theta }_{13}$ with Unbroken $\mu -\tau$ Symmetry of the Active Neutrino Mass Matrix in the Presence of a Light Sterile Neutrino
• Neutrino Oscillation in Dense Matter
• Littlest mu-tau seesaw
• Consistency of perturbed Tribimaximal, Bimaximal and Democratic mixing with Neutrino mixing data
• Integral solutions to the one-loop renormalization-group equations for lepton flavor mixing parameters and the Jarlskog invariant
• The other variants of mixed $\mu$-$\tau$ symmetry
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Common Origin of Non-zero ${\theta }_{13}$ and Dark Matter in an $S_4$ Flavour Symmetric Model with Inverse Seesaw
• Impact of RGE-induced $\mu -\tau$ Reflection Symmetry Breaking on the Effective Majorana Neutrino Mass in $0\nu \beta \beta$ Decay
• Nonstandard neutrino interactions and mu-tau reflection symmetry
• Viability of exact tri-bimaximal, golden-ratio and bimaximal mixing patterns and renormalization-group running effects
• Deviations to $\mu -\tau$ symmetry in a cobimaximal scenario
• Neutrino phenomenology in the flavored NMSSM without domain wall problems
• Low-Temperature Enhancement of Semi-annihilation and the AMS-02 Positron Anomaly
• $\mu -\tau$ Reflection Symmetry and Its Explicit Breaking for Leptogenesis in a Minimal Seesaw Model
• Inverse seesaw and dark matter in a gauged $\mathrm{B}-\mathrm{L}$ extension with flavour symmetry
• $(g-2{)}_{e,\mu }$ and strongly interacting dark matter with collider implications
• Seesaw mirroring between light and heavy Majorana neutrinos with the help of the $S_3^{}$ reflection symmetry
• Radiative Corrections to the Solar Lepton Mixing Sum Rule
• Clockwork origin of neutrino mixings
• Deviation from Tribimaximal mixing using $A_4$ flavour model with five extra scalars
• Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry
• Leptonic unitarity triangles: RGE running effects and $\mu$-$\tau$ reflection symmetry breaking
• Consequences of $\mu$-$\tau$ reflection symmetry for $3+1$ neutrino mixing
• A Realistic Neutrino mixing scheme arising from $A_4$ symmetry
• LHC sensitivity to singly-charged scalars decaying into electrons and muons
• Almost exact diagonal reflection symmetries and three-zero texture
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• A close look on 2-3 mixing angle with DUNE in light of current neutrino oscillation data
• On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase
• $\mu$-$\tau$ symmetry breaking and CP violation in the neutrino mass matrix
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Fermion mass hierarchy and lepton flavor violation using $CP$ symmetry
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• Lepton and quark mixing patterns with generalized CP transformations
• Diagonal reflection symmetries and universal four-zero texture
• 3D mapping of the effective Majorana neutrino masses with neutrino oscillation data
• Pseudo-Dirac neutrinos from flavour dependent CP symmetry
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• Inference of neutrino nature and Majorana CP phases from $0\nu \beta \beta$ decays with inverted mass ordering
• Unveiling Neutrino Mysteries with $\Delta (27)$ Symmetry
• Planck Scale Origin of Non-zero ${\theta }_{13}$ and Super-WIMP Dark Matter
• Low scale leptogenesis under neutrino $\mu$-$\tau$ reflection symmetry
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Signatures of $A_4$ symmetry in the charged lepton flavour violating decays in a neutrino mass model
• A non-renormalizable neutrino mass model with ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ symmetry
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• A split seesaw model with hidden neutrinoless double beta decay but successful leptogenesis
• Particular textures of the minimal seesaw model
• Exploring the Null Results in the Direct Detection Experiments, $(g-2{)}_{\ell }$ and Neutrino Mass in an Extended $U(1{)}_{L_{\mu }-L_{\tau }}$ Model Constrained through the $Z\to {\ell }^{+}{\ell }^{-}$ Decays
• Soft breaking of the $\mu \leftrightarrow \tau$ symmetry by ${\mathbf{S}}_4\otimes {\mathbf{Z}}_2$
• A Nearest-neighbor Expansion of Lepton Flavor Mixing in Powers of the $\mu$-$\tau$ Permutation Symmetry Breaking Effect
• Dirac neutrino mixings from hidden $\mu -\tau$ symmetry
• ${\theta }_{23}=\pi /4$ and $\delta =-\pi /2$ In Neutrino Mixing, Which Convention?
• CP-like Symmetry with Discrete and Continuous Groups and CP Violation/Restoration
• Small ${\theta }_{13}$ and solar neutrino oscillation parameters from $\mu -\tau$ symmetry
• Investigation of a kind of neutrino mass matrix
• The special Two zeros texture based on $A_4$ symmetry and perturbation method
• Breaking of the tetra-maximal neutrino mixing pattern
• The remnant CP transformation and its implications
• RGE-induced $\mu$-$\tau$ symmetry breaking: an analysis of the latest T2K results
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry
• Neutrino flavor mixing with approximate $\mu$-$\tau$ symmetry within the low-scale minimal linear seesaw model
• Representation of fermions in the Pati-Salam model
• Experimental Constraints on Seesaw Parameters in the Wigner-like Parametrization
• Chiral perturbative analysis for an almost massless neutrino in the type-I seesaw mechanism
• Approximate magic symmetry in a cobimaximal scenario of Majorana neutrinos