Neutrino Mass and Mixing: from Theory to Experiment

Abstract

The origin of fermion mass hierarchies and mixings is one of the unresolved and most difficult problem in high-energy physics. One possibility to address the flavour problem is by extending the Standard Model to include a family symmetry. In the recent years it has become very popular to use non-Abelian discrete flavour symmetries because of their power in the prediction of the large leptonic mixing angles relevant for neutrino oscillation experiments. Here we give an introduction to the flavour problem and to discrete groups which have been used to attempt a solution for it. We review the current status of models in the light of the recent measurement of the reactor angle and we consider different model building directions taken. The use of the flavons or multi Higgs scalars in model building is discussed as well as the direct vs. indirect approaches. We also focus on the possibility to distinguish experimentally flavour symmetry models by means of mixing sum rules and mass sum rules. In fact, we illustrate in this review the complete path from mathematics, via model building, to experiments, so that any reader interested to start working in the field could use this text as a starting point in order to get a broad overview of the different subject areas.

Accepted for publication in NJP, 62 pages, 9 tables, 7 figures

References in corpus (243)

• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Sterile Neutrinos as Dark Matter
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Verifiable Radiative Seesaw Mechanism of Neutrino Mass and Dark Matter
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Improved Predictions of Reactor Antineutrino Spectra
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• Non-Abelian Discrete Symmetries in Particle Physics
• The $\nu$MSM, Dark Matter and Neutrino Masses
• On the determination of anti-neutrino spectra from nuclear reactors
• Neutrino Mass and Mixing with Discrete Symmetry
• The T2K Experiment
• A New Dark Matter Candidate: Non-thermal Sterile Neutrinos
• Evidence for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations from the LSND Experiment at LAMPF
• 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
• Pathways to Naturally Small Neutrino Masses
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Global status of neutrino oscillation parameters after Neutrino-2012
• Theory of neutrinoless double beta decay
• Results on neutrinoless double beta decay of 76Ge from GERDA Phase I
• Improved Search for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations in the MiniBooNE Experiment
• Neutrino-less Double Beta Decay and Particle Physics
• Global fit to three neutrino mixing: critical look at present precision
• Massive sterile neutrinos as warm Dark Matter
• Novel Supersymmetric SO(10) Seesaw Mechanism
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Reactor electron antineutrino disappearance in the Double Chooz experiment
• The $\nu$MSM, Inflation, and Dark Matter
• Sterile neutrinos, dark matter, and the pulsar velocities in models with a Higgs singlet
• Upper limits for neutrino oscillations muon-antineutrino to electron-antineutrino from muon decay at rest
• Measurement of the response of a Ga solar neutrino experiment to neutrinos from an 37Ar source
• Dark-matter sterile neutrinos in models with a gauge singlet in the Higgs sector
• Direct Detection of Warm Dark Matter in the X-ray
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• A_4 Symmetry and Neutrinos with Very Different Masses
• Neutrino Mass Anarchy
• Series expansions for three-flavor neutrino oscillation probabilities in matter
• Measurement of the response of a gallium metal solar neutrino experiment to neutrinos from a 51Cr source
• Dynamical Left-Right Symmetry Breaking
• A possible symmetry of the $\nu$MSM
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• A discrete symmetry group for maximal atmospheric neutrino mixing
• Lepton mixing and discrete symmetries
• Measurement of Neutrino and Antineutrino Oscillations Using Beam and Atmospheric Data in MINOS
• Unambiguous Determination of the Neutrino Mass Hierarchy Using Reactor Neutrinos
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• Left-Right Symmetry Breaking in NJL Approach
• Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
• A Combined ${\nu }_{\mu }\to {\nu }_e$ and ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillation Analysis of the MiniBooNE Excesses
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
• Atmospheric and Solar Neutrinos with a Heavy Singlet
• Leptonic CP violation
• keV sterile neutrino dark matter in gauge extensions of the standard model
• Tri-bimaximal Neutrino Mixing from Orbifolding
• Light inflaton Hunter's Guide
• The Horizontal Symmetry for Neutrino Mixing
• Constraints on sterile neutrino as a dark matter candidate from the diffuse X-ray background
• Light Sterile Neutrinos: Models and Phenomenology
• Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance
• Where to find a dark matter sterile neutrino?
• CP and Discrete Flavour Symmetries
• The Flavor Symmetry
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Charged Lepton Corrections to Neutrino Mixing Angles and CP Phases Revisited
• Predictive Model for Radiatively Induced Neutrino Masses and Mixings with Dark Matter
• Fermion Masses and Mixings in a S4 Based Model
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• A Model of Lepton Masses from a Warped Extra Dimension
• Icosahedral (A5) Family Symmetry and the Golden Ratio Prediction for Solar Neutrino Mixing
• Warm Dark Matter in Low Scale Left-Right Theory
• Update of Short-Baseline Electron Neutrino and Antineutrino Disappearance
• Atmospheric and Solar Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• The Elements of the Neutrino Mass Matrix: Allowed Ranges and Implications of Texture Zeros
• Simple Non-Abelian Finite Flavor Groups and Fermion Masses
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Discrete Flavour Symmetries in Light of T2K
• A model for fermion masses and lepton mixing in SO(10) x A4
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• A4 See-Saw Models and Form Dominance
• Dark Matter from Split Seesaw
• Direct X-ray Constraints on Sterile Neutrino Warm Dark Matter
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Aspects of the Tetrahedral Neutrino Mass Matrix
• Constraints on Sterile Neutrino Dark Matter
• Direct Detection of Leptophilic Dark Matter in a Model with Radiative Neutrino Masses
• A model for trimaximal lepton mixing
• Trimaximal neutrino mixing from vacuum alignment in A4 and S4 models
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Constraints on the parameters of radiatively decaying dark matter from the dark matter halo of the Milky Way and Ursa Minor
• Constraining DM properties with SPI
• On the Quantitative Impact of the Schechter-Valle Theorem
• Dark Matter and Neutrino Masses from Global $U(1{)}_{B-L}$ Symmetry Breaking
• Nonzero theta(13) for neutrino mixing in the context of A(4) symmetry
• First hint for CP violation in neutrino oscillations from upcoming superbeam and reactor experiments
• Suitability of A_4 as a Family Symmetry in Grand Unification
• Generalised CP and $A_4$ Family Symmetry
• Correlated Hierarchy, Dirac Masses and Large Mixing Angles
• S3 x Z2 model for neutrino mass matrices
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• Models of Light Singlet Fermion and Neutrino Phenomenology
• Phenomenological Consequences of See-Saw in S4 Based Models
• Discrete dark matter
• S4 as a natural flavor symmetry for lepton mixing
• Determining the Neutrino Mass Hierarchy with INO, T2K, NOvA and Reactor Experiments
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• Quark Masses and Mixing with A4 Family Symmetry
• S_4 Flavored CP Symmetry for Neutrinos
• keV Neutrino Model Building
• S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT
• Lepton Mixing Predictions from Delta(6n^2) Family Symmetry
• Unified Parametrization for Quark and Lepton Mixing Angles
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• A Maximal Atmospheric Mixing from a Maximal CP Violating Phase
• Limits on the Radiative Decay of Sterile Neutrino Dark Matter from the Unresolved Cosmic and Soft X-ray Backgrounds
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Measurement of Neutrino Oscillation Parameters from Muon Neutrino Disappearance with an Off-axis Beam
• Tri-bimaximal Neutrino Mixing from A(4) and θ_{13} \sim θ_C
• New Limits on Sterile Neutrinos from Suzaku Observations of the Ursa Minor Dwarf Spheroidal Galaxy
• Matter parity as the origin of scalar Dark Matter
• Sterile neutrinos in the Milky Way: Observational constraints
• A SUSY A4 model for fermion masses and mixings
• The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry
• Constraining Sterile Neutrino Warm Dark Matter with Chandra Observations of the Andromeda Galaxy
• Light Sterile Neutrino in the Minimal Extended Seesaw
• Experimental search for the LSND anomaly with the ICARUS detector in the CNGS neutrino beam
• Model for T2K indication with maximal atmospheric angle and tri-maximal solar angle
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• On the origin of neutrino flavour symmetry
• A Grand Delta(96) x SU(5) Flavour Model
• Statistical Analysis of Different Muon-antineutrino->Electron-antineutrino Searches
• Group Theoretical Origin of CP Violation
• Golden Ratio Prediction for Solar Neutrino Mixing
• Tri-bimaximal-Cabibbo Mixing
• The A4 flavor symmetry and neutrino phenomenology
• A common origin of fermion mixing and geometrical CP violation, and its test through Higgs physics at the LHC
• Neutrino Masses from an A4 Symmetry in Holographic Composite Higgs Models
• Heavy Triplet Leptons and New Gauge Boson
• A4 models of tri-bimaximal-reactor mixing
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• Tri-bimaximal neutrino mixing and neutrinoless double beta decay
• Soft L_e-L_mu-L_tau flavour symmetry breaking and sterile neutrino keV Dark Matter
• An A4 flavor model for quarks and leptons in warped geometry
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Fermion Mass Hierarchies and Flavor Mixing from $T^{\prime }$ Symmetry
• Symmetries and fermion masses
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• A new family symmetry for SO(10) GUTs
• Large neutrino mixing angle θ_{13}^{MNS} and quark-lepton mass ratios in unified flavour models
• Geometrical CP violation from non-renormalisable scalar potentials
• Geometrical CP Violation
• Different SO(10) Paths to Fermion Masses and Mixings
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• Phenomenology of Dark Matter from A4 Flavor Symmetry
• Running of Radiative Neutrino Masses: The Scotogenic Model
• Double Beta Decay: Historical Review of 75 Years of Research
• Majorana Phases and Leptogenesis in See-Saw Models with A_4 Symmetry
• Nonzero |U_e3| from Charged Lepton Corrections and the Atmospheric Neutrino Mixing Angle
• Quark and Leptonic Mixing Patterns from the Breakdown of a Common Discrete Flavor Symmetry
• Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential
• An A4 model for lepton masses and mixings
• Phenomenology of light sterile neutrinos: a brief review
• Improved Limit on theta_{13} and Implications for Neutrino Masses in Neutrino-less Double Beta Decay and Cosmology
• Dark matter stability and unification without supersymmetry
• Deviations from tribimaximal mixing due to the vacuum expectation value misalignment in A_4 models
• Quark-Lepton Mass Relation in a Realistic A4 Extension of the Standard Model
• Q_6 flavor symmetry model for the extension of the minimal standard model by three right-handed sterile neutrinos
• Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario
• Quark-Lepton Mass Relation and CKM mixing in an A4 Extension of the Minimal Supersymmetric Standard Model
• Deriving Models for keV sterile Neutrino Dark Matter with the Froggatt-Nielsen mechanism
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• An SO(10) Grand Unified Theory of Flavor
• The Family Group in Grand Unified Theories
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• Enhancing Dark Matter Annihilation into Neutrinos
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Neutrino mass hierarchy determination with IceCube-PINGU
• Constraining neutrinoless double beta decay
• Tri-bimaximal lepton mixing from symmetry only
• Repressing Anarchy in Neutrino Mass Textures
• Dirac Neutrinos with $S_4$ Flavor Symmetry in Warped Extra Dimensions
• A_4xSU(5) SUSY GUT of Flavour in 8d
• Explicit and spontaneous breaking of SU(3) into its finite subgroups
• Neutrino mass hierarchy and octant determination with atmospheric neutrinos
• Fermion Masses and Neutrino Oscillations in SO(10) SUSY GUT with D_3 x U(1) Family Symmetry
• A Minimal Model of Neutrino Flavor
• A Viable Randall-Sundrum Model for Quarks and Leptons with T' Family Symmetry
• Model of leptons from $SO(3)\to A_4$
• AMEND: A Model Explaining Neutrino masses and Dark matter testable at the LHC and MEG
• A new neutrino mass sum rule from inverse seesaw
• Constraining Flavour Symmetries At The EW Scale II: The Fermion Processes
• Neutrino Mixings in SO(10) with Type II Seesaw and theta_{13}
• Spontaneous CP violation in A4xSU(5) with Constrained Sequential Dominance 2
• Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach
• Lepton Flavor Model from Delta(54) Symmetry
• Geometrical CP violation in multi-Higgs models
• Which long-baseline neutrino experiments are preferable?
• Dark Matter Search Using XMM-Newton Observations of Willman 1
• Phenomenology in the Higgs Triplet Model with the A_4 Symmetry
• Sterile Neutrinos for Warm Dark Matter and the Reactor Anomaly in Flavor Symmetry Models
• SUSY S4 x SU(5) revisited
• A Golden A_5 Model of Leptons with a Minimal NLO Correction
• Non-Abelian Discrete Dark Matter
• Neutrino Tribimaximal Mixing from A_4 Alone
• Relating quarks and leptons without grand-unification
• A4 Flavor Models in Split Seesaw Mechanism
• Precision physics with a wide band super neutrino beam
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle
• Bi-large neutrino mixing and the Cabibbo angle
• Flavour violation in a supersymmetric T' model
• Predictive Discrete Dark Matter Model
• Confronting Flavour Symmetries and extended Scalar Sectors with Lepton Flavour Violation Bounds
• Lepton Flavor Violation in Models with $A_4$ and $S_4$ Flavor Symmetries
• Determination of neutrino mass hierarchy by 21 cm line and CMB B-mode polarization observations
• The mass hierarchy with atmospheric neutrinos at INO
• Discrete Symmetries and Neutrino Mass Perturbations for θ_{13}
• Toward minimal renormalizable SUSY SU(5) Grand Unified Model with tribimaximal mixing from A4 Flavor symmetry
• D14 - A Common Origin of the Cabibbo Angle and the Lepton Mixing Angle theta^l_13
• Constraining the (Low-Energy) Type-I Seesaw
• Schizophrenic Neutrinos and $\nu$-less Double Beta Decay
• Non-diagonal charged lepton mass matrix and non-zero ${\theta }_{13}$
• Accidental stability of dark matter
• Statistical Analysis of future Neutrino Mass Experiments including Neutrino-less Double Beta Decay
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Spontaneous R-Parity Violation, $A_4$ Flavor Symmetry and Tribimaximal Mixing
• LSND reloaded
• Fermion masses and mixing with tri-bimaximal in SO(10) with type-I seesaw
• Massive and Massless Neutrinos on Unbalanced Seesaws
• Symmetryless Dark Matter

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• Target Space Duality of Non-Supersymmetric String Theory
• Flavon-induced connections between lepton flavour mixing and charged lepton flavour violation processes
• Mass Limit for Light Flavon with Residual $Z_3$ Symmetry
• Radiative charged-lepton mass generation in multi-Higgs doublet models
• Anomalous Discrete Flavor Symmetry and Domain Wall Problem
• The role of flavon cross couplings in leptonic flavour mixing
• Linear seesaw model with a modular $S_4$ flavor symmetry
• Anomaly of non-Abelian discrete symmetries
• Dark matter indirect detection signals and the nature of neutrinos in the supersymmetric $U(1{)}_{B-L}$ extension of the standard model
• Exploring the flavor structure of quarks and leptons with reinforcement learning
• Neutrino Mass Sum Rules and Symmetries of the Mass Matrix
• Flavon Stabilization in Models with Discrete Flavor Symmetry
• $A_4\times U(1{)}_{PQ}$ Model for the Lepton Flavor Structure and the Strong $CP$ Problem
• Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models
• A neutrino mass-mixing sum rule from SO(10) and neutrinoless double beta decay
• Neutrino non-standard interactions as a portal to test flavour symmetries
• Leptonic CP Violation from a New Perspective
• Hierarchy spectrum of SM fermions: from top quark to electron neutrino
• Flavour Models with Three Higgs Generations
• Higgs portal dark matter and neutrino mass and mixing with a doubly charged scalar
• Predictions of $m_{ee}$ and neutrino mass from a consistent Froggatt-Nielsen model
• Lepton Mixing, Residual Symmetries, and Trigonometric Diophantine Equations
• Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry
• A close look on 2-3 mixing angle with DUNE in light of current neutrino oscillation data
• Minimal eclectic flavor group $Q_8⋊S_3$ and neutrino mixing
• Sterile Neutrinos: Propagation in Matter and Sensitivity to Sterile Mass Ordering
• Constraining $A_4$ Leptonic Flavour Model Parameters at Colliders and Beyond
• Distinguishing Neutrino Mass Hierarchies using Dark Matter Annihilation Signals at IceCube
• A hybrid seesaw model and hierarchical neutrino flavor structures based on $A_4$ symmetry
• Confronting Tri-direct CP-symmetry models to neutrino oscillation experiments
• Lepton-flavour violation in a Pati-Salam model with gauged flavour symmetry
• Non-zero ${\theta }_{13}$, CP-violation and Neutrinoless Double Beta Decay for Neutrino Mixing in the $A_4\times Z_2\times Z_3$ Flavor Symmetry Model
• Neutrino mass from M Theory SO(10)
• Light flavon signals at electron - photon colliders
• Theory Review of Neutrino Models and CP Violation
• Precision measurement of neutrino oscillation parameters with 10 years of data from the NOvA experiment
• Spontaneously stabilised dark matter from a fermiophobic $U(1{)}^{\prime }$ gauge symmetry
• Predictions for the Leptonic Dirac CP-Violating Phase
• Study of a tri-direct littlest seesaw model at MOMENT
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Lepton Mixing Predictions from (Generalised) CP and Discrete Flavour Symmetry
• Testing constrained sequential dominance models of neutrinos
• SUSY SU(5) $\times S_4$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large ${\theta }_{13}^{PMNS}$
• Reactor Neutrino Experiments: ${\theta }_{13}$ and Beyond
• Combining Pati-Salam and Flavour Symmetries
• Neutrino mass, leptogenesis and sterile neutrino dark matter in inverse seesaw framework
• A see-saw scenario of an $A_4$ flavour symmetric standard model
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
• Lepton mixing and the charged-lepton mass ratios
• Neutrino flavor-mass uncertainty relations and an entanglement-assisted determination of the PMNS matrix
• Generalized Matter Parities from Finite Modular Symmetries
• Structures of Neutrino Mass Spectrum and Lepton Mixing: Results of Violated Mirror Symmetry
• A Model of Neutrino Mass, Baryon Asymmetry, and Asymmetric Dark Matter with $SU(2{)}_D\otimes U(1{)}_{D^{\prime }}$ Dark Sector
• Constraining flavour-universal nonstandard interactions and superweak extension of the standard model
• MSSM-like from $S{U}_5\times D_4$ Models
• Leptogenesis, Fermion Masses and Mixings in a SUSY $SU(5)$ GUT with $D_4$ Flavor Symmetry
• Phenomenological implications of a minimal F-theory GUT with discrete symmetry
• Novel Flavon Stabilization with Trimaximal Neutrino Mixing
• Subcritical hybrid inflation in a generalized superconformal model
• A mechanism relating the fermionic mass hierarchy to the flavor mixing
• Probing Non-Standard Interactions at Daya Bay
• Reactor and Atmospheric Neutrino Mixing Angles' Correlation as a Probe for New Physics
• Sum Rules for Leptons
• Linking Leptonic CP violation to Quark Unitarity Triangle
• Theoretical Results on Neutrinos
• The mixing angle as a function of neutrino mass ratio
• The discrete family symmetry as a possible solution to the flavour problem
• A Left-Right Mirror Symmetric Model: Common Origin of Neutrino Mass, Baryon Asymmetry and Dark Matter
• Leptogenesis via Varying Weinberg Operator: the Closed-Time-Path Approach
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$
• Double Froggatt--Nielsen Mechanism
• Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry
• On Bimaximal Neutrino Mixing and GUT's
• Modular flavored dark matter
• Constraints on lepton-flavor mixing with third-generation new physics
• The model that predicts the maximal 2-3 mixing and CP violation for neutrinos is revisited
• Quark and lepton flavor model with leptoquarks in a modular $A_4$ symmetry
• Theoretical and phenomenological consequences of active and sterile neutrino within Beyond Standard Model framework
• Neutrino Mass, Leptogenesis, and Dark Matter from The Dark Sector with $U(1{)}_D$
• Yang-Mills theory for semidirect products $\mathrm{G}⋉{\mathfrak{g}}^{\ast }$ and its instantons
• Dirac neutrinos in the seesaw mechanism. Dirac lepton number violation
• Flavour Symmetry Embedded -- GLoBES (FaSE-GLoBES)
• Flavor Moonshine
• $A_4$ flavor symmetric model in SUSY SU(5) GUT
• Yukawa textures in modular symmetric vacuum of magnetized orbifold models
• Revisiting Flavor Model and Leptogenesis
• Diffusion-model approach to flavor models: A case study for $S_4^{\prime }$ modular flavor model
• Exploring the flavor structure of leptons via diffusion models
• Neutrino Oscillations in the Three Flavor Paradigm
• Fermion masses and mixings and charged lepton flavor violation in a 3-3-1 model with inverse seesaw
• Radiative Corrections as Origin of Tiny Fermion Masses
• Flavour symmetric connections with CLFV
• Non-SUSY Lepton Flavor Model with 3HDM
• Theory and phenomenology of Dirac neutrinos
• Modular Flavour Symmetries and Modulus Stabilisation