S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor

Abstract

Pursuing a bottom-up approach to explore which flavor symmetry could serve as an explanation of the observed fermion masses and mixings, we discuss an extension of the standard model (SM) where the flavor structure for both quarks and leptons is determined by a spontaneously broken S4 and the requirement that its particle content is embeddable simultaneously into the conventional SO(10) grand unified theory (GUT) and a continuous flavor symmetry G_f like SO(3)_f or SU(3)_f. We explicitly provide the Yukawa and the Higgs sector of the model and show its viability in two numerical examples which arise as small deviations from rank one matrices. In the first case, the corresponding mass matrix is democratic and in the second one only its 2-3 block is non-vanishing. We demonstrate that the Higgs potential allows for the appropriate vacuum expectation value (VEV) configurations in both cases, if CP is conserved. For the first case, the chosen Yukawa couplings can be made natural by invoking an auxiliary Z2 symmetry. The numerical study we perform shows that the best-fit values for the lepton mixing angles theta_12 and theta_23 can be accommodated for normal neutrino mass hierarchy. The results for the quark mixing angles turn out to be too small. Furthermore the CP-violating phase delta can only be reproduced correctly in one of the examples. The small mixing angle values are likely to be brought into the experimentally allowed ranges by including radiative corrections. Interestingly, due to the S4 symmetry the mass matrix of the right-handed neutrinos is proportional to the unit matrix.

arXiv comment27 pages, published version with minor changes

References in corpus (91)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Resonant Leptogenesis
• CP Violation and Baryogenesis due to Heavy Majorana Neutrinos
• Final Results from phase II of the Mainz Neutrino Mass Search in Tritium $\beta$ Decay
• 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
• Latest Results from the Heidelberg-Moscow Double Beta Decay Experiment
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Predictive Neutrino Spectrum in Minimal $SO(10)$ Grand Unification
• The Igex 76ge Neutrinoless Double-Beta Decay Experiment: Prospects for Next Generation Experiments
• CUORE: A Cryogenic Underground Observatory for Rare Events
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• A discrete symmetry group for maximal atmospheric neutrino mixing
• b-tau unification and large atmospheric mixing: a case for non-canonical see-saw
• Detection of very small neutrino masses in double-beta decay using laser tagging
• Determining Neutrino Mass from the CMB Alone
• Spectroscopy of Double-Beta and Inverse-Beta Decays from 100Mo for Neutrinos
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• The Flavor Symmetry
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• Minimal SUSY SO(10), b-$\tau$ unification and large neutrino mixings
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• Simple Non-Abelian Finite Flavor Groups and Fermion Masses
• The minimal supersymmetric grand unified theory: I. symmetry breaking and the particle spectrum
• COBRA - Double beta decay searches using CdTe detectors
• Unified Theories with U(2) Flavor Symmetry
• Neutrino Mass Matrix from S_4 Symmetry
• Neutrino Mass and Dark Energy from Weak Lensing
• Neutrino Masses and Mixings in a Minimal SO(10) Model
• Neutrino oscillation data versus minimal supersymmetric SO(10) model
• A Geometry of the Generations
• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$
• Large neutrino mixing and normal mass hierarchy: a discrete understanding
• SO(10) Group Theory for the Unified Model Building
• Flavor Unification and Discrete Nonabelian Symmetries
• Probing neutrino masses with future galaxy redshift surveys
• Spontaneous CP violation and Non-Abelian Family Symmetry in SUSY
• Maximal Neutrino Mixing from a Minimal Flavor Symmetry
• High scale mixing unification and large neutrino mixing angles
• Dihedral Families of Quarks, Leptons and Higgs Bosons
• S3 x Z2 model for neutrino mass matrices
• Non-Abelian Finite Gauge Theories
• How Far Can the SO(10) Two Higgs Model Describe the Observed Neutrino Masses and Mixings ?
• Unified explanation of the Solar and Atmospheric neutrino Puzzles in a minimal supersymmetric SO(10) model
• An SO(10)XS-4 Scenario for Naturally Degenerate Neutrinos
• Quaternion Family Symmetry of Quarks and Leptons
• TeV scale resonant leptogenesis from supersymmetry breaking
• Bi-large Neutrino Mixing and CP violation in an SO(10) SUSY GUT for Fermion Masses
• SO(10) a la Pati-Salam
• Symmetries and fermion masses
• Predictive Grand Unified Textures for Quark and Neutrino Masses and Mixings
• U(2) Flavor Physics without U(2) Symmetry
• Letter of Intent for Double-CHOOZ: a Search for the Mixing Angle Theta13
• SO(10) Symmetry Breaking and Type II Seesaw
• From CKM Matrix to MNS Matrix: A Model Based on Supersymmetric $SO(10)\times U(2{)}_F$ Symmetry
• Exact $S_3$ symmetry solving the supersymmetric flavor problem
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• Can cosmology detect hierarchical neutrino masses?
• Nonabelian Discrete Symmetries, Fermion Mass Textures and Large Neutrino Mixing
• High sensitivity double beta decay study of 116-Cd and 100-Mo with the BOREXINO Counting Test Facility (CAMEO project)
• A New 76Ge Double Beta Decay Experiment at LNGS
• Neutrinoless double beta decay and direct searches for neutrino mass
• Deviation of Atmospheric Mixing from Maximal and Structure in the Leptonic Flavor Sector
• Theoretical Models of Neutrino Masses and Mixings
• Neutrino masses and mixing with seesaw mechanism and universal breaking of extended democracy
• Lepton Flavor Violating Decays, Soft Leptogenesis and SUSY SO(10)
• Horizontal Symmetry for Quark and Squark Masses in Supersymmetric SU(5)
• A Natural Framework for Bi-large Neutrino Mixing
• Fermion Masses and Flavor Mixing in A Supersymmetric SO(10) Model
• A New Nuclear Reactor Neutrino Experiment to Measure theta 13
• Permutation Symmetry for Neutrino and Charged-Lepton Mass Matrices
• Study of theory and phenomenology of some classes of family symmetry and unification models
• The weight for random quark masses
• Discrete Symmetry and CP Phase of the Quark Mixing Matrix
• A Hexagonal Theory of Flavor
• Neutrino mass bounds from cosmology
• Supersymmetric SO(10) for fermion masses and mixings: rank-1 structures of flavour
• Fermion Mass Hierarchy in the Nu MSGUT I : The Real Core
• Fermion masses in E_6 grand unification with family permutation symmetries
• Double Suppression of FCNCs in Supersymmetric Models
• Solving Flavor Puzzles with Quiver Gauge Theories
• Special Symmetric Quark Mass Matrices
• Deconstruction and Bilarge Neutrino Mixing
• alpha ~ pi/2 from supersymmetric spontaneous flavor breaking
• Small Violation of Universal Yukawa Coupling and Neutrino Large Mixing
• NEMO 3 experiment: preliminary results from 2003 data
• Phenomenological approach to symmetry breaking pattern of democratic mass matrix
• Predictive SUSY SO(10) X Delta (48) X U(1) Model for CP Violation, Neutrino Oscillation, Fermion Masses and Mixings with Small tan(beta)

Cited by in corpus (140)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Neutrino Mass and Mixing: from Theory to Experiment
• Flavour physics of leptons and dipole moments
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Flavor structures of charged fermions and massive neutrinos
• Stringy origin of non-Abelian discrete flavor symmetries
• Unified Models of Neutrinos, Flavour and CP Violation
• The Unique Horizontal Symmetry of Leptons
• Tri-bimaximal Neutrino Mixing from Orbifolding
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Fermion Masses and Mixings in a S4 Based Model
• Icosahedral (A5) Family Symmetry and the Golden Ratio Prediction for Solar Neutrino Mixing
• A model for fermion masses and lepton mixing in SO(10) x A4
• Phenomenological Consequences of See-Saw in S4 Based Models
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• S4 as a natural flavor symmetry for lepton mixing
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• S_4 Flavored CP Symmetry for Neutrinos
• S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT
• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• 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
• S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing
• The 3-3-1 model with S_4 flavor symmetry
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• Relatively large theta13 and nearly maximal theta23 from the approximate S3 symmetry of lepton mass matrices
• The S_3 flavor symmetry in 3-3-1 models
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• A new family symmetry for SO(10) GUTs
• Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry
• Neutrino masses and mixing from S4 flavor twisting
• Model Predictions for Neutrino Oscillation Parameters
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Anatomy of F_D-Term Hybrid Inflation
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario
• Mapping the viable parameter space for testable leptogenesis
• Flavor symmetries, leptogenesis and the absolute neutrino mass scale
• An SO(10) Grand Unified Theory of Flavor
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Dirac Neutrinos with $S_4$ Flavor Symmetry in Warped Extra Dimensions
• Explicit and spontaneous breaking of SU(3) into its finite subgroups
• Neutrino Mixings and the S4 Discrete Flavour Symmetry
• The discrete flavor symmetry D5
• A new neutrino mass sum rule from inverse seesaw
• Flavored Peccei-Quinn symmetry
• Deviation from Bimaximal Mixing and Leptonic CP Phases in $S_4$ Family Symmetry and Generalized CP
• Lepton Flavor Model from Delta(54) Symmetry
• Fermion masses and mixing in modular A4 Symmetry
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY $SO(10)\times S_4$
• On the finite subgroups of U(3) of order smaller than 512
• Non-Abelian Discrete Groups from the Breaking of Continuous Flavor Symmetries
• S_3-flavour symmetry as realized in lepton flavour violating processes
• Flavor Violation in Supersymmetric Q_6 Model
• Generation Symmetry and E_6 Unification
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Proton Hexality from an Anomalous Flavor U(1) and Neutrino Masses - Linking to the String Scale
• Variations on the Supersymmetric Q6 Model of Flavor
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• A See-Saw $S_4$ model for fermion masses and mixings
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Neutrino Mixings and Leptonic CP Violation from CKM Matrix and Majorana Phases
• Lepton Flavor Violation in Models with $A_4$ and $S_4$ Flavor Symmetries
• Flavored Orbifold GUT - an SO(10) x S4 model
• Discrete symmetries and models of flavor mixing
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• Delta(54) Flavor Model for Leptons and Sleptons
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• An S4 model for quarks and leptons with maximal atmospheric angle
• Fermion masses and mixing in $\Delta (27)$ flavour model
• Large loop effects of extra SUSY Higgs doublets to CP violation in B^0 mixing
• Lepton Flavour Violation and Flavour Symmetries
• Lectures on Models of Neutrino Masses and Mixings
• Minimal seesaw model with S_4 flavor symmetry
• Super Flavorsymmetry with Multiple Higgs Doublets
• Is the tri-bimaximal mixing accidental?
• Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry
• Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry
• Admixture of quasi-Dirac and Majorana neutrinos with tri-bimaximal mixing
• Semidirect Product Groups, Vacuum Alignment and Tribimaximal Neutrino Mixing
• $\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis
• Perturbing exactly tri-bimaximal neutrino mixings with charged lepton mass matrices
• LHC Higgs Production and Decay in the T' Model
• Realizing Tri-bimaximal Mixing in Minimal Seesaw Model with S4 Family Symmetry
• S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model
• Phenomenology of keV scale sterile neutrino dark matter with $S_4$ flavor symmetry
• Flavor Symmetry Based MSSM (sMSSM): Theoretical Models and Phenomenological Analysis
• Towards Minimal S4 Lepton Flavor Model
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Predictive $S_4$ flavon model with ${\text{TM}}_1$ mixing and baryogenesis through leptogenesis
• A Built-in Horizontal Symmetry of $SO(10)$
• Theoretical Models of Neutrino Mixing: Recent Developments
• Z_3 Symmetry and Neutrino Mixing in Type II Seesaw
• PeV Scale Right Handed Neutrino Dark Matter in $S_4$ Flavor Symmetric extra U(1) model
• Hidden flavor symmetries of SO(10) GUT
• Discrete flavor symmetry and minimal seesaw mechanism
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Perturbative Bottom-up Approach for Neutrino Mass Matrix in Light of Large θ_{13} and Role of Lightest Neutrino Mass
• Strong coupling, discrete symmetry and flavour
• S4 Flavor Model of Quarks and Leptons
• Electron and Muon $g-2$ Contributions from the $T^{\prime }$ Higgs Sector
• Non-vanishing $U_{e3}$ under $S_3$ symmetry
• Non-Zero ${\theta }_{13}$ and ${\delta }_{CP}$ in a Neutrino Mass Model with $A_4$ Symmetry
• Like-sign dimuon asymmetry of B0 meson and LFV in SU(5) SUSY GUT with S4 flavor symmetry
• Axion and Neutrino physics in a $U(1)$-enhanced supersymmetric model
• A minimal inverse seesaw model with $S_4$ flavour symmetry
• Phenomenology of S_4 Flavor Symmetric extra U(1) model
• The New Extended Left-Right Symmetric Grand Unified Model with SO(3) Family Symmetry
• Symmetryless Dark Matter
• New Prediction For Leptonic Theta_13
• Theta_{13}, Rare Decays and Leptonic CP Violation
• On the collider-testability of the type-I seesaw model with 3 right-handed neutrinos
• Renormalization Group Running of Lepton Mixing Parameters in See-Saw Models with $S_4$ Flavor Symmetry
• A Model of Four Generation Fermions and Cold Dark Matter and Matter-Antimatter Asymmetry
• New Origin of a Bilinear Mass Matrix Form
• Neutrino Mass Matrices from Two Zero 3x2 Yukawa Textures and Minimal d=5 Entries
• Unification Predictions With or Without Supersymmetry
• Coxeter groups and the PMNS matrix
• Flavor symmetric origin of texture zeros in minimal inverse seesaw and impacts on leptogenesis
• The Dark Side of ${\theta }_{13}$, ${\delta }_{CP}$, Leptogenesis and Inflation in Type-I Seesaw
• A Model of Fermion Masses and Flavor Mixings with Family Symmetry $SU(3)\otimes U(1)$
• Inflation and Leptogenesis in a $U(1)$-enhanced supersymmetric model
• Radiative Mechanism to Light Fermion Masses in the MSSM
• Implications of equalities among the elements of CKM and PMNS matrices
• Z(3) Flavor Symmetry and Possible Implications
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$
• Unification based on the mysterious cubic-structure grouping of quarks and leptons