A discrete symmetry group for maximal atmospheric neutrino mixing

Abstract

We propose a discrete non-abelian symmetry group which enforces maximal atmospheric neutrino mixing, while ${\theta }_{13}=0$ and the solar mixing angle ${\theta }_{12}$ remains undetermined; without finetuning, ${\theta }_{12}$ will be large but non-maximal. Our extension of the Standard Model has three right-handed neutrino singlets ${\nu }_R$ and implements the seesaw mechanism. Furthermore, we have an enlarged scalar sector with three Higgs doublets and two scalar gauge singlets; the latter have masses and vacuum expectation values of the order of the seesaw scale. Lepton mixing stems exclusively from the ${\nu }_R$ Majorana mass matrix, where non-diagonal elements are generated by the vacuum expectation values of the scalar singlets. The model predicts a neutrino mass spectrum with $m_3>m_2>m_1$ and the effective Majorana mass of neutrinoless $\beta \beta$ decay is equal to $m_1{m}_2/m_3$.

9 pages, no figures, plain LaTeX; new section added and misprints corrected, version to be published in Phys. Lett. B

References in corpus (2)

• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Maximal atmospheric neutrino mixing in an SU(5) model

Cited by in corpus (216)

• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Neutrino Mass and Mixing: from Theory to Experiment
• Flavour physics of leptons and dipole moments
• Stringy origin of non-Abelian discrete flavor symmetries
• Neutrino Mixing and Quark-Lepton Complementarity
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• Possible Alternatives to Tri-bimaximal Mixing
• Models of Neutrino Masses and Mixings
• $S_3$ Symmetry and Tri-bimaximal Mixing
• A review of mu-tau flavor symmetry in neutrino physics
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• Icosahedral (A5) Family Symmetry and the Golden Ratio Prediction for Solar Neutrino Mixing
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• (Non-)Abelian discrete anomalies
• Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Large neutrino mixing and normal mass hierarchy: a discrete understanding
• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$
• Minimal Modification to Tri-bimaximal Mixing
• Non-vanishing $U_{e3}$ and $\cos 2{\theta }_{23}$ from a broken $Z_2$ symmetry
• Zeros of the inverted neutrino mass matrix
• S3 x Z2 model for neutrino mass matrices
• Dihedral Families of Quarks, Leptons and Higgs Bosons
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Common Origin of mu-tau and CP Breaking in Neutrino Seesaw, Baryon Asymmetry, and Hidden Flavor Symmetry
• Quaternion Family Symmetry of Quarks and Leptons
• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• Finite flavour groups of fermions
• The A4 flavor symmetry and neutrino phenomenology
• μ-τSymmetry and Maximal CP Violation
• Leptogenesis and $\mu -\tau$ symmetry
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Resolving the octant of theta23 with T2K and NOvA
• U_{PMNS} = U_ell^dagger U_nu
• Higgs Potential in Minimal S_3 Invariant Extension of the Standard Model
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• mu-tau Interchange symmetry and lepton mixing
• An A4 model for lepton masses and mixings
• Maximal atmospheric neutrino mixing and the small ratio of muon to tau mass
• Tribimaximal Mixing, Leptogenesis, and theta13
• Phased Breaking of mu-tau symmetry and Leptogenesis
• Q_6 flavor symmetry model for the extension of the minimal standard model by three right-handed sterile neutrinos
• A Supersymmetric D4 Model for mu-tau Symmetry
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• A model realizing the Harrison-Perkins-Scott lepton mixing matrix
• Softly broken lepton number L_e - L_μ- L_τwith non-maximal solar neutrino mixing
• Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry
• Neutrino Telescopes as a Probe of Broken $\mu$-$\tau$ Symmetry
• Minimal Mass Matrices for Dirac Neutrinos
• Renormalization of the neutrino mass operators in the multi-Higgs-doublet Standard Model
• Nonabelian Discrete Family Symmetry to Soften the SUSY Flavor Problem and to Suppress Proton Decay
• Scaling in the Neutrino Mass Matrix
• Soft supersymmetry breaking terms from D4 x Z2 lepton flavor symmetry
• Neutrino 2-3 Symmetry and Inverted Hierarchy
• Seesaw Right Handed Neutrino as the Sterile Neutrino for LSND
• The discrete flavor symmetry D5
• Flavor and CP symmetries for leptogenesis and 0nubb decay
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• Neutrinoless Double Beta Decay and Future Neutrino Oscillation Precision Experiments
• Octant of ${\theta }_{23}$ in danger with a light sterile neutrino
• A 3-3-1 model with right-handed neutrinos based on the $\Delta \left(27\right)$ family symmetry
• Screening of Dirac flavor structure in the seesaw and neutrino mixing
• The $\Delta (27)$ flavor 3-3-1 model with neutral leptons
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• Bilarge Neutrino Mixing and μ- τPermutation Symmetry for Two-loop Radiative Mechanism
• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• Neutrino Mixing and Neutrino Telescopes
• Flavored Peccei-Quinn symmetry
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• Lepton Flavor Model from Delta(54) Symmetry
• Is there maximal mixing in the lepton sector?
• Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low and High Energy Phenomenology
• Systematic search for successful lepton mixing patterns with nonzero theta_13
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• An approach to permutation symmetry for the electroweak theory
• Stability of dark matter from the D4xZ2 flavor group
• Breaking of L_mu - L_tau Flavor Symmetry, Lepton Flavor Violation and Leptogenesis
• Perturbed S3 neutrinos
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• Universal 2-3 symmetry
• Can four-zero-texture mass matrix model reproduce the observed quark and lepton mixing angles and CP violating phases?
• Generating extremal neutrino mixing angles with Higgs family symmetries
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• Non-zero U_{e3} and TeV-Leptogenesis through A_4 symmetry breaking
• Leptogenesis in seesaw models with a twofold-degenerate neutrino Dirac mass matrix
• Deviations from Tri-bimaximal Neutrino Mixing in Type-II Seesaw and Leptogenesis
• A4 Flavor Models in Split Seesaw Mechanism
• Flavor structure from magnetic fluxes and non-Abelian Wilson lines
• Determination of theta_{23} in Long-Baseline Neutrino Oscillation Experiments with Three-Flavor Mixing Effects
• theta_C from the Dihedral Flavor Symmetries D_7 and D_14
• Variations on the Supersymmetric Q6 Model of Flavor
• A New Type of Complex Neutrino Mass Texture and mu-tau Symmetry
• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• The Cabibbo Angle in a Supersymmetric D14 Model
• A dynamical approach to link low energy phases with leptogenesis
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• How good is μ-τsymmetry after results on non-zero θ_{13}?
• mu-tau Symmetry and Charged Lepton Mass Hierarchy in a Supersymmetric D4 Model
• Confronting Flavour Symmetries and extended Scalar Sectors with Lepton Flavour Violation Bounds
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• S3 as a flavour symmetry for quarks and leptons after the Daya Bay result on θ13
• What Does mu-tau Symmetry Imply about Neutrino Mixings?
• D6 Family Symmetry and Cold Dark Matter at LHC
• A Supersymmetric Contribution to the Neutrino Mass Matrix and Breaking of mu-tau Symmetry
• Two Categories of Approximately mu-tau Symmetric Neutrino Mass Textures
• Determination of Neutrino Mass Texture for Maximal CP Violation
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• Non-Minimal Flavored ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ Left-Right Symmetric Model
• $B_s$ Mixing and New Physics in hadronic $b\to s\bar{q}q$ transitions
• Confusing Sterile Neutrinos with Deviation from Tribimaximal Mixing at Neutrino Telescopes
• B-L Model with ${\mathbf{S}}_3$ Symmetry: Nearest Neighbor Interaction Textures and Broken $\mu \leftrightarrow \tau$ Symmetry
• Delta(54) Flavor Model for Leptons and Sleptons
• Spontaneous CP Violation in $A_4$ Flavor Symmetry and Leptogenesis
• $\mu -\tau$ Symmetry and Radiatively Generated Leptogenesis
• S_3 Flavor Symmetry and Leptogenesis
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• The 2-3 symmetry: Flavour Changing $b$, $\tau$ Decays and Neutrino Mixing
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Soft supersymmetry breaking terms from A4 lepton flavor symmetry
• Neutrino masses and mixings with an S3 family permutation symmetry
• Broken Flavor 2 <-> 3 Symmetry and phenomenological approach for universal quark and lepton mass matrices
• D14 - A Common Origin of the Cabibbo Angle and the Lepton Mixing Angle theta^l_13
• Correlation between Leptonic CP Violation and mu-tau Symmetry Breaking
• Large and Almost Maximal Neutrino Mixing within the Type II See-Saw Mechanism
• Super Flavorsymmetry with Multiple Higgs Doublets
• Neutrino scattering and B anomalies from hidden sector portals
• Generating ${\theta }_{13}$ from sterile neutrinos in $\mu -\tau$ symmetric models
• MSLED, Neutrino Oscillations and the Cosmological Constant
• Mu-tau reflection symmetry with a high scale texture-zero
• Tribimaximal mixing in neutrino mass matrices with texture zeros or vanishing minors
• Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Suppressed FCNC in New Physics with Shared Flavor Symmetry
• Non-Abelian Discrete Flavor Symmetries
• Connection Between the Neutrino Seesaw Mechanism and Properties of the Majorana Neutrino Mass Matrix
• General Property of Neutrino Mass Matrix and CP Violation
• Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry
• Simple renormalizable flavor symmetry for neutrino oscillations
• Low scale gravity as the source of neutrino masses?
• Survey of Texture Zeros with Light Dirac Neutrinos
• Renormalisation group improved leptogenesis in family symmetry models
• Neutrino Mass Textures with Maximal CP Violation
• Embedding the Texture of the Neutrino Mass Matrix into the MaVaNs Scenario
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Constraints on Flavor Neutrino Masses and sin^2(2theta_{12})>>sin^2(theta_{13}) in Neutrino Oscillations
• Common origin of reactor and sterile neutrino mixing
• Conserving the lepton number $L_e-L_{\mu }-L_{\tau }$ in the exact solution of a 3-3-1 gauge model with right-handed neutrinos
• Common origin of θ_{13} and Δm^2_{12} in a model of neutrino mass with quaternion symmetry
• When $\tan \beta$ meets all the mixing angles
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry
• Left-right symmetric model with $\mu \leftrightarrow \tau$ symmetry
• Fermion masses in E_6 grand unification with family permutation symmetries
• Covariant Extremisation of Flavour-Symmetric Jarlskog Invariants and the Neutrino Mixing Matrix
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Double Suppression of FCNCs in Supersymmetric Models
• Dihedral Flavor Symmetry from Dimensional Deconstruction
• Non-Abelian Discrete Flavor Symmetries on Orbifolds
• Collider signatures of vector-like fermions from a flavor symmetric model
• Muon anomalies and the $SU(5)$ Yukawa relations
• Flavor Symmetry Based MSSM (sMSSM): Theoretical Models and Phenomenological Analysis
• Modified Zee mass matrix with zero-sum condition
• Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry
• Fermion masses and mixings and $g-2$ muon anomaly in a 3-3-1 model with $D_4$ family symmetry
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Neutrino Mass Models: circa 2008
• Generalized perturbations in neutrino mixing
• Suppressed $\te_{13}$ In A Democratic Approach
• Broken $S_3$ Neutrinos
• Neutrino Mass Squared Differences in the Exact Solution of a 3-3-1 Gauge Model without Exotic Electric Charges
• Naturally perturbed S${}_3$ neutrinos
• Anomalous Discrete Flavor Symmetry and Domain Wall Problem
• Leptonic CP phases near the $\mu -\tau$ symmetric limit
• A neutrino mass-mixing sum rule from SO(10) and neutrinoless double beta decay
• Proposal for U.S. participation in Double-CHOOZ: A New theta-13 Experiment at the Chooz Reactor
• Non-Zero ${\theta }_{13}$ and ${\delta }_{CP}$ in a Neutrino Mass Model with $A_4$ Symmetry
• Lepton Family Symmetry and Neutrino Mass Matrix
• Recent Neutrino Data and Type III Seesaw with Discrete Symmetry
• On a possible relationship between lepton mixing and the stability of dark matter
• Leptons and Quarks from a Discrete Flavor Symmetry
• Predictive neutrino mass textures with origin of flavor symmetries
• Neutrino phenomenology in a left-right $D_4$ symmetric model
• A close look on 2-3 mixing angle with DUNE in light of current neutrino oscillation data
• Texture of Single Vanishing Subtrace in Neutrino Mass Matrix
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Pocket Formulae for Non-Abelian Discrete Anomaly Freedom
• Fermion number conservation and two Higgs doublet models without tree level flavour changing neutral currents
• Quark Mixing from Mass Matrix Model with Flavor 2 (\leftrightarrow) 3 Symmetry
• Dual electroweak phase transition in the two-Higgs-doublet model with the $S_3$ discrete symmetry
• Dynamical $\mu$ and MSSM
• Lepton Flavor Violation in Complex SUSY Seesaw Models with Nearly Tribimaximal Mixing
• Partial $\mu -\tau$ Textures and Leptogenesis
• Quark mixing from softly broken symmetries
• Neutrino Mixing and Leptogenesis in $\mu -\tau$ Symmetry
• A dynamical CP source for CKM, PMNS and Leptogenesis
• Corrections to Tribimaximal Mixing from Nondegenerate Phases
• Five models for lepton mixing
• The exact eigenstates of the neutrino mass matrix without CP-phase violation
• A non-renormalizable neutrino mass model with ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ symmetry
• Leptogenesis, Fermion Masses and Mixings in a SUSY $SU(5)$ GUT with $D_4$ Flavor Symmetry
• Dirac neutrino mixings from hidden $\mu -\tau$ symmetry
• Soft breaking of the $\mu \leftrightarrow \tau$ symmetry by ${\mathbf{S}}_4\otimes {\mathbf{Z}}_2$
• The mixing angle as a function of neutrino mass ratio
• Flavour anomalies meet flavour symmetry
• $(L_e-L_{\mu }-L_{\tau })$ discrete symmetry for heavy right-handed neutrinos and degenerate leptogenesis
• Small ${\theta }_{13}$ and solar neutrino oscillation parameters from $\mu -\tau$ symmetry
• Non-zero θ_13 in models for hierarchical neutrino mass spectrum
• Discrete Symmetries in the MSSM
• The model that predicts the maximal 2-3 mixing and CP violation for neutrinos is revisited
• Bi-Large Neutrino Mixing See-Saw Mass Matrix with Texture Zeros and Leptogenesis
• $\mathbf{B}-\mathbf{L}$ model with ${\mathbf{D}}_4\times {\mathbf{Z}}_4\times {\mathbf{Z}}_2$ symmetry for fermion mass hierarchies and mixings
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry