Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix

Abstract

The discrete non-Abelian symmetry $A_4$, valid at some high-energy scale, naturally leads to degenerate neutrino masses, without spoiling the hierarchy of charged-lepton masses. Realistic neutrino mass splittings and mixing angles (one of which is necessarily maximal and the other large) are then induced radiatively in the context of softly broken supersymmetry. The quark mixing matrix is also calculable in a similar way. The mixing parameter $U_{e3}$ is predicted to be imaginary, leading to maximal CP violation in neutrino oscillations. Neutrinoless double beta decay and $\tau \to \mu \gamma$ should be in the experimentally accessible range.

12 pages including 2 figures

References in corpus (1)

• Reply to a Comment of article ``Evidence for Neutrinoless Double Beta Decay''

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• Patterns in the Fermion Mixing Matrix, a bottom-up approach
• Generalized perturbations in neutrino mixing
• Suppressed $\te_{13}$ In A Democratic Approach
• Theoretical Models of Neutrino Mixing: Recent Developments
• Quark masses and mixings in E6 x S3 : a montecarlo approach
• Hiding the Existence of a Family Symmetry in the Standard Model
• Precise predictions for Dirac neutrino mixing
• Predictive $S_4$ flavon model with ${\text{TM}}_1$ mixing and baryogenesis through leptogenesis
• Low energy phenomena of the lepton sector in an $A_4$ symmetry model with heavy inverse seesaw neutrinos
• Effective Theories of Flavor and the Non-Universal MSSM
• Cornering (quasi) degenerate neutrinos with cosmology
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• $A_4$-based model with linear seesaw scheme for lepton mass and mixing
• Large Lepton Mixings from Continuous Symmetries
• Predicting neutrino oscillations with "bi-large" lepton mixing matrices
• 5D seesaw, flavor structure, and mass textures
• Slepton Non-Universality in the Flavor-Effective MSSM
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Like-sign dimuon asymmetry of B0 meson and LFV in SU(5) SUSY GUT with S4 flavor symmetry
• Heptagonic Symmetry for Quarks and Leptons
• Proposal for U.S. participation in Double-CHOOZ: A New theta-13 Experiment at the Chooz Reactor
• Fermion masses, Leptogenesis and Supersymmetric SO(10) Unification
• A potential scenario for the Majorana neutrino detection at future lepton colliders
• Deviation from Tribimaximal mixing using $A_4$ flavour model with five extra scalars
• Non-Zero ${\theta }_{13}$ and ${\delta }_{CP}$ in a Neutrino Mass Model with $A_4$ Symmetry
• S4 Flavor Model of Quarks and Leptons
• QCD Axion as a Bridge Between String Theory and Flavor Physics
• Strong coupling, discrete symmetry and flavour
• A Model of Fermion Masses and Mixings Triggered by Family Problem in Warped Extra Dimensions
• A neutrino mass-mixing sum rule from SO(10) and neutrinoless double beta decay
• Diphoton decay for a 750 GeV scalar boson in a $SU(6)\otimes U(1{)}_X$ model
• Data Driven Flavour Model
• CP violation due to multi Froggatt-Nielsen fields
• Leptons and Quarks from a Discrete Flavor Symmetry
• Lower Bounds on U_{e3}
• Axion and Neutrino physics in a $U(1)$-enhanced supersymmetric model
• Neutrino mass matrix in triplet Higgs models with $A_4$ symmetry
• Phenomenology of Discrete Flavour Symmetries
• Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry
• High scale mixing relations as a natural explanation for large neutrino mixing
• Radiative generation of neutrino mixing: degenerate masses and threshold corrections
• A close look on 2-3 mixing angle with DUNE in light of current neutrino oscillation data
• Are deviation from bi-maximal mixing and none-zero U_{e3} related to non-degeneracy of heavy Majorana neutrinos?
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments
• Implications of the Muon g-2 result on the flavour structure of the lepton mass matrix
• Phenomenology of an Extended $1+2$ Higgs Doublet Model with $S_3$ Family Symmetry
• Systematic Study Of Leptonic Mixing In A Class Of SU_H(2) Models
• New Prediction For Leptonic Theta_13
• Determining the heavy seesaw neutrino mass matrix from low-energy parameters
• A(4) Symmetry and Neutrinos
• Smallness of Leptonic ${\theta }_{13}$ and Discrete Symmetry
• Scotogenic majorana neutrino masses in a predictive orbifold theory of flavour
• Testing Flavor Symmetries by B-Factory
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• CP violations in a predictive $A_4$ symmetry model
• Flavor origin of R-parity
• Knitting neutrino mass textures with or without Tri-Bi maximal mixing
• Hidden Spin-3/2 Field in the Standard Model
• Simple mass matrices of neutrinos and quarks consistent with observed mixings and masses
• Pocket Formulae for Non-Abelian Discrete Anomaly Freedom
• Theta_{13}, Rare Decays and Leptonic CP Violation
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Anomaly-free ALP from non-Abelian flavor symmetry
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• Type II seesaw supersymmetric neutrino model for ${\theta }_{13}\ne 0$
• Non$-$zero ${\theta }_{13}$ and ${\delta }_{CP}$ phase with $A_4$ Flavor Symmetry and Deviations to Tri$-$Bi$-$Maximal mixing via $Z_2\times Z_2$ invariant perturbations in the Neutrino sector
• Lepton and quark mixing patterns with generalized CP transformations
• Spontaneously stabilised dark matter from a fermiophobic $U(1{)}^{\prime }$ gauge symmetry
• Identifying a minimal flavor symmetry of the seesaw mechanism behind neutrino oscillations
• Froggatt-Nielsen Meets the SMEFT
• Tetrahedral Symmetry A${}_4$ in Anti-SU(5) GUT
• Bimaximal Neutrino Mixing with Discrete Flavour Symmetries
• Lepton Family Symmetry and the Neutrino Mixing Matrix
• Leptonic CP violation in flipped SU(5) GUT from $Z_{12-I}$ Orbifold Compactification
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Neutrino Parameters from Reactor and Accelerator Neutrino Experiments
• Lepton family symmetries for neutrino masses and mixing
• Quark Mixing from Mass Matrix Model with Flavor 2 (\leftrightarrow) 3 Symmetry
• On neutrino and charged lepton masses and mixings: A view from the electroweak-scale right-handed neutrino model
• Supersymmetric threshold corrections to Δm^2_{\odot}
• Nonzero ${\theta }_{13}$ in $SO(3)\to A_4$ lepton models
• Scotogenic dark matter in an orbifold theory of flavor
• Dirac Scoto Inverse-Seesaw from $A_4$ Flavor Symmetry
• Lepton Flavor Violation in Complex SUSY Seesaw Models with Nearly Tribimaximal Mixing
• A dynamical CP source for CKM, PMNS and Leptogenesis
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
• Planck Scale Origin of Non-zero ${\theta }_{13}$ and Super-WIMP Dark Matter
• Modulated bimaximal neutrino mixing
• Two-zero textures based on $A_4$ symmetry and unimodular mixing matrix
• Probing the Majorana nature of the neutrino with neutrinoless double beta decay
• Small Neutrino Masses From Structural cancellation In Left-Right Symmetric Model
• Signatures of $A_4$ symmetry in the charged lepton flavour violating decays in a neutrino mass model
• Neutrino mixing and masses in SO(10) GUTs with hidden sector and flavor symmetries
• Investigating texture six zero lepton mass matrices
• Anticorrelation of Mass and Mixing Angle Hierarchies
• Cobimaximal Mixing with Dirac Neutrinos
• Quark and lepton mass matrices with $A_4$ family symmetry
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• Inverted neutrino mass hierarchies from U(1) symmetries
• Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories
• Neutrino oscillations and new physics
• B meson decay anomaly with a non-universal U(1)' extension
• Tribimaximal Neutrino Mixing from A_4 Replication
• Physics of Massive Neutrinos
• Residual Symmetries and Scalar Multiplet Vacuum Alignment in Non-Abelian Flavour Models
• CP Violation in Predictive Neutrino Mass Structures
• Concluding talk at NOW 2006
• Neutrino mass and grand unification of flavor
• Progress in the understanding of neutrino properties
• A neutrino mixing model based on an $A_4\times Z_3\times Z_4$ flavour symmetry
• Inflation and Leptogenesis in a $U(1)$-enhanced supersymmetric model
• Scotogenic $A_5\to A_4$ Dirac Neutrinos with Freeze-In Dark Matter
• Flavor Imprints on Novel Low Mass Dark Matter
• Quark-lepton mass relations from modular flavor symmetry
• Neutrino masses and mixing
• Observable Lepton Flavor Symmetry at LHC
• The Dark Side of ${\theta }_{13}$, ${\delta }_{CP}$, Leptogenesis and Inflation in Type-I Seesaw
• An A4 model for neutrinos
• Subcritical hybrid inflation in a generalized superconformal model
• Quasi-Degenerate Neutrino Masses in Terms of Mass-Squared Differences
• A universal form for quark and neutrino mass matrices
• The hidden symmetries in the PMNS matrix and the light sterile neutrino(s)
• Status and implications of neutrino masses: a brief panorama
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry
• Two groups 2^3.PSL_2(7) and 2^3:PSL_2(7) of order 1344
• Minimal A4 Type-II Seesaw Realization of Testable Neutrino Mass Sum Rules
• $A_4$ realization of left-right symmetric linear seesaw
• A new class of invariants in the lepton sector
• Expansion of $U_{PMNS}$ and Neutrino mass matrix $M_{\nu }$ in terms of $sin{\theta }_{13}$ for Inverted Hierarchical case
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$
• The Higgs Connection -- Flavor and Dark Matter
• Higgs-Flavor Groups, Naturalness, and Dark Matter
• Neutrinos and the challenges of particle physics
• Z(3) Flavor Symmetry and Possible Implications
• Implications of equalities among the elements of CKM and PMNS matrices
• String Field Theory from Quantum Gravity
• Investigation of a kind of neutrino mass matrix
• Constraints on Global Symmetry Breaking in Quantum Gravity from Cosmic Birefringence Measurements
• Fate of ${\theta }_{12}$ under $\mu -\tau$ Reflection Symmetry in Light of the First JUNO Results
• Theory and phenomenology of Dirac neutrinos
• Bi-Large Neutrino Mixing See-Saw Mass Matrix with Texture Zeros and Leptogenesis
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry
• On the ambiguities in the tri-bimaximal mixing matrix and corresponding charged lepton corrections
• Fermion masses and mixings and charged lepton flavor violation in a 3-3-1 model with inverse seesaw
• Suppression of flavor violation in an A4 warped extra dimensional model
• Models for neutrino mass with discrete symmetries
• Predictions of effective Majorana neutrino mass under radiative corrections to $\mu -\tau$ reflection symmetry