Unified Models of Neutrinos, Flavour and CP Violation

Abstract

Recent data from neutrino experiments gives intriguing hints about the mass ordering, the CP violating phase and non-maximal atmospheric mixing. There seems to be a (one sigma) preference for a normal ordered (NO) neutrino mass pattern, with a CP phase $\delta =-100^{\circ }\pm 50^{\circ }$, and (more significantly) non-maximal atmospheric mixing. Global fits for the NO case yield lepton mixing angle one sigma ranges: ${\theta }_{23}\approx 41.4^{\circ }\pm 1.6^{\circ }$, ${\theta }_{12}\approx 33.2^{\circ }\pm 1.2^{\circ }$, ${\theta }_{13}\approx 8.45^{\circ }\pm 0.15^{\circ }$. Cosmology gives a limit on the total of the three masses to be below about $0.23$ eV, favouring hierarchical neutrino masses over quasi-degenerate masses. Given such experimental advances, it seems an opportune moment to review the theoretical status of attempts to explain such a pattern of neutrino masses and lepton mixing, focussing on approaches based on the four pillars of: {\em predictivity}, {\em minimality}, {\em robustness} and {\em unification}. {\em Predictivity} can result from various mixing sum rules whose status is reviewed. {\em Minimality} can follow from the type I seesaw mechanism, including constrained sequential dominance of right-handed (RH) neutrinos, and the littlest seesaw model. {\em Robustness} requires enforcing a discrete CP and non-Abelian family symmetry, spontaneously broken by flavons with the symmetry preserved in a semi-direct way. {\em Unification} can account for all lepton and quark masses, mixing angles and CP phases, as in Supersymmetric Grand Unified Theories of Flavour, with possible string theory origin.

67 pages, 29 figures, review article to appear in Progr.Part.Nucl.Phys

References in corpus (83)

• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Neutrino oscillations refitted
• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Stringy origin of non-Abelian discrete flavor symmetries
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Possible Alternatives to Tri-bimaximal Mixing
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Unification and Fermion Mass Structure
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• The low-scale approach to neutrino masses
• The Flavor Group Delta(3n^2)
• A model for trimaximal lepton mixing
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• The Flavor Group Delta(6n^2)
• Predictive flavour symmetries of the neutrino mass matrix
• S_4 Flavored CP Symmetry for Neutrinos
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Neutrino physics from precision cosmology
• New GUT predictions for quark and lepton mass ratios confronted with phenomenology
• On the origin of neutrino flavour symmetry
• Golden Ratio Prediction for Solar Neutrino Mixing
• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• Predicting the Values of the Leptonic CP Violation Phases
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Simple Finite Non-Abelian Flavor Groups
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• A new family symmetry for SO(10) GUTs
• Neutrino masses and mixing from S4 flavor twisting
• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• From strings to the MSSM
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Classification of lepton mixing matrices from finite residual symmetries
• Scotogenic $A_4$ Neutrino Model for Nonzero ${\theta }_{13}$ and Large ${\delta }_{CP}$
• Activation measurement of the 3He(a,g)7Be reaction cross section at high energies
• Compactified String Theories -- Generic Predictions for Particle Physics
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• Generalised CP and $\Delta (96)$ Family Symmetry
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Observable T_7 Lepton Flavor Symmetry at the Large Hadron Collider
• Solving the SUSY Flavour and CP Problems with SU(3) Family Symmetry
• Baryon Triality and Neutrino Masses from an Anomalous Flavor U(1)
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• Lepton Flavor Mixing and CP Symmetry
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• Testing solar lepton mixing sum rules in neutrino oscillation experiments
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Sensitivities and synergies of DUNE and T2HK
• An SU(5) x A5 Golden Ratio Flavour Model
• Neutrino masses in the Lepton Number Violating MSSM
• Supersymmetric Jarlskog Invariants: the Neutrino Sector
• Lepton flavor at the electroweak scale: A complete A4 model
• Effective theory of a doubly charged singlet scalar: complementarity of neutrino physics and the LHC
• Constraining {\it CP} violation in a softly broken $A_4$ symmetric Model
• Towards predictive flavour models in SUSY SU(5) GUTs with doublet-triplet splitting
• Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry
• Tri-bi-maximal mixing in viable family symmetry unified model with extended seesaw
• Yukawa Unification Predictions for the LHC
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Lepton number violating mSUGRA and neutrino masses
• A to Z of Flavour with Pati-Salam
• Leptogenesis in an SU(5) x A5 Golden Ratio Flavour Model
• Discrete Family Symmetry from F-Theory GUTs
• An A4 x Z4 model for neutrino mixing
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters
• Large lepton mixing angles from a 4+1-dimensional SU(5) x A(4) domain-wall braneworld model
• A to Z of the Muon Anomalous Magnetic Moment in the MSSM with Pati-Salam at the GUT scale
• Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing
• Aspects of F-Theory GUTs
• Non-vanishing $U_{e3}$ under $S_3$ symmetry
• Heptagonic Symmetry for Quarks and Leptons
• R-Parity violation in F-Theory
• Effects of Mass Varying Neutrinos on Cosmological Parameters as determined from the Cosmic Microwave Background
• CP violating Tri-bimaximal-Cabibbo mixing
• Geometrical Origin of CP Violation and CKM and MNS Matrices in SU(5) x T'

Cited by in corpus (159)

• Modular Invariance Faces Precision Neutrino Data
• Building and testing models with extended Higgs sectors
• CP violation of quarks in $A_4$ modular invariance
• Finite modular subgroups for fermion mass matrices and baryon/lepton number violation
• Modular $S_4$ and $A_4$ Symmetries and Their Fixed Points: New Predictive Examples of Lepton Mixing
• Neutrino Mass and Mixing with $A_5$ Modular Symmetry
• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• Trimaximal TM${}_1$ mixing with two modular $S_4$ groups
• Multiple modular symmetries as the origin of flavour
• 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
• Modular symmetry origin of texture zeros and quark lepton unification
• Baryogenesis from ultralight primordial black holes and strong gravitational waves from cosmic strings
• Type II seesaw models with modular $A_4$ symmetry
• Modular Invariant Models of Lepton Masses at Levels 4 and 5
• Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry
• 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
• The Minimal Seesaw Model with a Modular $S_4$ Symmetry
• Flavourful Axion Phenomenology
• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
• 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
• Mapping the viable parameter space for testable leptogenesis
• Neutrino oscillations in extended theories of gravity
• $SU(5)$ GUTs with $A_4$ modular symmetry
• Twin Modular $S_4$ with $SU(5)$ GUT
• Towards unification of quark and lepton flavors in $A_4$ modular invariance
• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• Sensitivities and synergies of DUNE and T2HK
• Dirac neutrino mass models with a modular $S_4^{}$ symmetry
• Search for Nonstandard Neutrino Interactions with IceCube DeepCore
• Symmetries and stabilisers in modular invariant flavour models
• Accidental Peccei-Quinn Symmetry from Discrete Flavour Symmetry and Pati-Salam
• Modular $S_4\times SU(5)$ GUT
• $U(1)$ flavour symmetries as Peccei-Quinn symmetries
• Majorana Neutrinos in Same-Sign $W^{\pm }{W}^{\pm }$ Scattering at the LHC: Breaking the TeV Barrier
• Fermion Masses and Mixings and Dark Matter Constraints in a Model with Radiative Seesaw Mechanism
• Adjoint SU(5) GUT model with Modular $S_4$ Symmetry
• Modular symmetry in the SMEFT
• Modular symmetry at level 6 and a new route towards finite modular groups
• CP4 miracle: shaping Yukawa sector with CP symmetry of order four
• Quark and lepton hierarchies from $S_4^{\prime }$ modular flavor symmetry
• The symmetry approach to quark and lepton masses and mixing
• A Unified Model of Quarks and Leptons with a Universal Texture Zero
• An $S_4\times SU(5)$ SUSY GUT of flavour in 6d
• A minimal modular invariant neutrino model
• Testing a lepton quarticity flavor theory of neutrino oscillations with the DUNE experiment
• Quark hierarchical structures in modular symmetric flavor models at level 6
• Modulus $\tau$ linking leptonic CP violation to baryon asymmetry in $A_4$ modular invariant flavor model
• Quark and lepton flavors with common modulus $\tau$ in $A_4$ modular symmetry
• Flipped SU(5) with modular $A_4$ symmetry
• Quark mass hierarchies and CP violation in $A_4\times A_4\times A_4$ modular symmetric flavor models
• Implications of residual CP symmetry for leptogenesis in a model with two right-handed neutrinos
• Moduli inflation from modular flavor symmetries
• A natural $S_4\times SO(10)$ model of flavour
• New Benchmark Models for Heavy Neutral Lepton Searches
• Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry
• Inverse Seesaw Model with a Modular $S_4^{}$ Symmetry: Lepton Flavor Mixing and Warm Dark Matter
• Classification of Abelian domain walls
• Littlest Modular Seesaw
• Lepton masses and mixing in a two-Higgs-doublet model
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• 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
• $\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis
• Collapsing domain walls beyond $Z_2$
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Tri-Direct CP in the Littlest Seesaw Playground
• A low-scale flavon model with a $Z_N$ symmetry
• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
• Modular flavour symmetry and orbifolds
• Confronting SUSY SO(10) with updated Lattice and Neutrino Data
• Golden Littlest Seesaw
• Soft supersymmetry breaking terms and lepton flavor violations in modular flavor models
• Finite modular axion and radiative moduli stabilization
• Low scale type I seesaw model for lepton masses and mixings
• Minimal inverse-seesaw mechanism with Abelian flavour symmetries
• Muon anomalies and the $SU(5)$ Yukawa relations
• Tomography of flavoured leptogenesis with primordial blue gravitational waves
• 4D modular flavor symmetric models inspired by higher dimensional theory
• Lepton mass matrix from double covering of $A_4$ modular flavor symmetry
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Radiative neutrino masses from order-4 CP symmetry
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• Leptonic $CP$ Violation and Proton Decay in SUSY SO(10)
• Moduli trapping mechanism in modular flavor symmetric models
• A hybrid setup for fundamental unknowns in neutrino oscillations using T2HK ($\nu$) and $\mu$-DAR ($\bar{\nu }$)
• Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis
• Flavour effects in gravitational leptogenesis
• Neutrino phenomenology in the flavored NMSSM without domain wall problems
• Renormalization and radiative corrections to masses in a general Yukawa model
• Importance of generalized $\mu \tau$ symmetry and its CP extension on neutrino mixing and leptogenesis
• Exceptional Unification of Families and Forces
• Exploring the flavor structure of quarks and leptons with reinforcement learning
• Linear seesaw model with a modular $S_4$ flavor symmetry
• Anomalous Discrete Flavor Symmetry and Domain Wall Problem
• New approach to neutrino masses and leptogenesis with Occam's razor
• Roles of sterile neutrinos in particle physics and cosmology
• Flavon Stabilization in Models with Discrete Flavor Symmetry
• Predictions from a flavour GUT model combined with a SUSY breaking sector
• Nonholomorphic $A_4$ modular invariance for fermion masses and mixing in SU(5) GUT
• Revisiting the Dirac Nature of Neutrinos in the Light of $\Delta (27)$ and Cyclic Symmetries
• Non-holomorphic modular flavor symmetry and odd weight polyharmonic Maaß form
• Predictions of $m_{ee}$ and neutrino mass from a consistent Froggatt-Nielsen model
• A minimal inverse seesaw model with $S_4$ flavour symmetry
• Predicting ${\delta }^{\text{PMNS}}$, ${\theta }_{23}^{\text{PMNS}}$ and fermion mass ratios from flavour GUTs with CSD2
• Mass varying neutrinos with different quintessence potentials
• Deviations from Tribimaximal and Golden Ratio mixings under radiative corrections of neutrino masses and mixings
• On the lepton CP violation in a $\nu$2HDM with flavor
• Phenomenological implications of the Friedberg-Lee transformation in a neutrino mass model with $\mu \tau$-flavored CP symmetry
• Flavored Leptogenesis and Neutrino Mass with $A_4$ Symmetry
• Minimal eclectic flavor group $Q_8⋊S_3$ and neutrino mixing
• A hybrid seesaw model and hierarchical neutrino flavor structures based on $A_4$ symmetry
• Dark matter as the source of neutrino mass: theory overview and experimental prospects
• On the collider-testability of the type-I seesaw model with 3 right-handed neutrinos
• Study of a tri-direct littlest seesaw model at MOMENT
• 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
• Hybrid seesaw neutrino model in SUSY $SU(5)\times {\mathbb{A}}_4$
• Sculpting the Standard Model from low-scale Gauge-Higgs-Matter $E_8$ Grand Unification in ten dimensions
• Non-Abelian Domain Walls and Gravitational Waves
• Spin-flavor oscillations of Dirac neutrinos in matter under the influence of a plane electromagnetic wave
• Lepton mixing and the charged-lepton mass ratios
• Leptogenesis, Fermion Masses and Mixings in a SUSY $SU(5)$ GUT with $D_4$ Flavor Symmetry
• Novel Flavon Stabilization with Trimaximal Neutrino Mixing
• Neutrino masses, leptogenesis and dark matter
• SO(10) unification with horizontal symmetry
• Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry
• Generalized Matter Parities from Finite Modular Symmetries
• The mass ratios parametrization
• Quark-lepton mass relations from modular flavor symmetry
• A Nearest-neighbor Expansion of Lepton Flavor Mixing in Powers of the $\mu$-$\tau$ Permutation Symmetry Breaking Effect
• Fundamental quantum limits for detecting ultrahigh frequency gravitational waves
• A mechanism relating the fermionic mass hierarchy to the flavor mixing
• Flavored Peccei-Quinn symmetries in the minimal $\nu$DFSZ model
• FCNCs, Proton Stability, $g_{\mu }-2$ Discrepancy, Neutralino cold Dark Matter in Flipped $SU(5)\times U(1{)}_{\chi }$ from $F$ Theory with $A_4$ Symmetry
• Dynamics of $Z_N$ domain walls with bias directions
• Quark and lepton flavor model with leptoquarks in a modular $A_4$ symmetry
• $SO(10)$ models with $A_4$ modular symmetry
• Modular flavored dark matter
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$
• Inferences on the Higgs Boson and Axion Masses through a Maximum Entropy Principle
• A two-generational $\mathrm{SU}(7)$ model with extended weak sector: mass hierarchies, mixings, and the flavor non-universality
• Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry
• Second Octant Favored for Non-Maximal ${\theta }_{23}$
• Fate of ${\theta }_{12}$ under $\mu -\tau$ Reflection Symmetry in Light of the First JUNO Results
• Flavour Symmetry Embedded -- GLoBES (FaSE-GLoBES)
• Flavor Moonshine
• $A_4$ flavor symmetric model in SUSY SU(5) GUT
• Exploring mixed lepton-quark interactions in non-resonant leptoquark production at the LHC
• Gravitational wave complementarity and impact of NANOGrav data on gravitational leptogenesis: cosmic strings