The Simplest Neutrino Mass Matrix

Abstract

We motivate the simplest ansatz for the neutrino mass matrix consistent with the data from neutrino oscillation experiments, and admitting CP violation. It has only two free parameters: an arbitrary mass-scale and a small dimensionless ratio. This mass matrix exhibits two symmetries, Democracy and Mutativity, which respectively ensure trimaximal mixing of the |nu_2> mass eigenstate, and mixing parameter values |theta_{23}|=45 degrees and |delta|=90 degrees, consistent with bimaximal mixing of the |nu_3> mass eigenstate. A third constraint relates the smallness of |U_{e3}|^2 to that of the mass-squared difference ratio, Delta m^2_sol/Delta m^2_atm, yielding the prediction sin(theta_{13})=sqrt{2 Delta m^2_sol/3 Delta m^2_atm} ~ 0.13 +- 0.03.

12 Pages, no figures. Changes for V2: minor notation change and additional inline formula. Fixed a few typos

References in corpus (14)

• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Search for neutrino oscillations on a long base-line at the CHOOZ nuclear power station
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Some Simple Mixing and Mass Matrices for Neutrinos
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
• Status of three-neutrino oscillations after the SNO-salt data
• Observation of Atmospheric Neutrino Oscillations in Soudan 2
• Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
• Sensitivity to ${\theta }_{13}$ and $\delta$ in the Decaying Astrophysical Neutrino Scenario
• Form Invariance of the Neutrino Mass Matrix
• Tripartite Neutrino Mass Matrix

Cited by in corpus (117)

• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Flavor structures of charged fermions and massive neutrinos
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• Unified Models of Neutrinos, Flavour and CP Violation
• Tri-bimaximal Neutrino Mixing from Orbifolding
• CP and Discrete Flavour Symmetries
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Symmetry of Lepton Mixing
• Fermion Masses and Mixings in a S4 Based Model
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• Generalised CP and $A_4$ Family Symmetry
• Phenomenological Consequences of See-Saw in S4 Based Models
• Simplified Unitarity Triangles for the Lepton Sector
• The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry
• Mass Independent Textures and Symmetry
• Bimaximal mixing and large theta13 in a SUSY SU(5) model based on S4
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• μ-τSymmetry and Maximal CP Violation
• Pieces of the Flavour Puzzle
• Lepton mixing from the interplay of the alternating group A5 and CP
• Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• Flavor mixings and textures of the fermion mass matrices
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• Different SO(10) Paths to Fermion Masses and Mixings
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• Lepton Flavour Violation in a Supersymmetric Model with A4 Flavour Symmetry
• Vacuum Alignment in SUSY A4 Models
• An A4 model for lepton masses and mixings
• Generalised CP and $\Delta (96)$ Family Symmetry
• Predicting Lepton Flavor Mixing from $\Delta (48)$ and Generalized CP Symmetries
• Texture 4 zero Fritzsch-like lepton mass matrices
• Mixing Patterns from the Groups Sigma (n phi)
• Leptogenesis and residual CP symmetry
• Flavor and CP symmetries for leptogenesis and 0nubb decay
• Lepton Flavor Mixing and CP Symmetry
• Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization
• Deviation from Bimaximal Mixing and Leptonic CP Phases in $S_4$ Family Symmetry and Generalized CP
• Group Theory and Dynamics of Neutrino Mixing
• Can four-zero-texture mass matrix model reproduce the observed quark and lepton mixing angles and CP violating phases?
• A Generic Diagonalization of the 3X3 Neutrino Mass Matrix and Its Implications on the mu-tau Flavor Symmetry and Maximal CP Violation
• Simplest Neutrino Mixing from S4 Symmetry
• $A_4$ and CP symmetry and a model with maximal CP violation
• A New Type of Complex Neutrino Mass Texture and mu-tau Symmetry
• A See-Saw $S_4$ model for fermion masses and mixings
• Generalized CP and $\Delta (3n^2)$ Family Symmetry for Semi-Direct Predictions of the PMNS Matrix
• Texture specific mass matrices with Dirac neutrinos and their implications
• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• Sub-dominant Type II Seesaw as an Origin of Non-zero ${\theta }_{13}$ in SO(10) model with TeV scale $Z^{\prime }$ Gauge Boson
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• Deviations from Tri-Bimaximal Neutrino Mixing Using Type II Seesaw
• The symmetry approach to quark and lepton masses and mixing
• Lepton Mixing Predictions from Infinite Group Series $D_{9n,3n}^{(1)}$ with Generalized CP
• Zeros in the magic neutrino mass matrix
• Possible textures of the fermion mass matrices
• Determination of Neutrino Mass Texture for Maximal CP Violation
• Confusing Sterile Neutrinos with Deviation from Tribimaximal Mixing at Neutrino Telescopes
• Neutrinoless Double Beta Decay in Type I+II Seesaw Models
• 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
• Charged Lepton Flavour Violating Radiative Decays ${\ell }_i\to {\ell }_j+\gamma$ in See-Saw Models with $A_4$ Symmetry
• MSLED, Neutrino Oscillations and the Cosmological Constant
• Exploring the parameter space of texture 4 zero quark mass matrices
• Common Origin of Non-zero ${\theta }_{13}$ and Baryon Asymmetry of the Universe in a TeV scale Seesaw Model with $A_4$ Flavour Symmetry
• Perturbations to $\mu -\tau$ Symmetry, Leptogenesis and Lepton Flavour Violation with Type II Seesaw
• General Property of Neutrino Mass Matrix and CP Violation
• Neutrino Mass Textures with Maximal CP Violation
• Maximal CP Violation in Flavor Neutrino Masses
• Constraints on Flavor Neutrino Masses and sin^2(2theta_{12})>>sin^2(theta_{13}) in Neutrino Oscillations
• Constraining Type I Seesaw with $A_4$ Flavor Symmetry From Neutrino Data and Leptogenesis
• Covariant Extremisation of Flavour-Symmetric Jarlskog Invariants and the Neutrino Mixing Matrix
• Neutrino Predictions from Generalized CP Symmetries of Charged Leptons
• A Model for Large theta13 Constructed using the Eigenvectors of the S4 Rotation Matrices
• Understanding for flavor physics in the lepton sector
• Theory of the Neutrino Mass
• Golden Littlest Seesaw
• Non-zero ${\theta }_{13}$ with Unbroken $\mu -\tau$ Symmetry of the Active Neutrino Mass Matrix in the Presence of a Light Sterile Neutrino
• Realizing Tri-bimaximal Mixing in Minimal Seesaw Model with S4 Family Symmetry
• Investigating non-Fritzsch like texture specific quark mass matrices
• Type II Seesaw Origin of Non-zero ${\theta }_{13},{\delta }_{CP}$ and Leptogenesis
• Magic neutrino mass model with broken $\mu -\tau$ symmetry and Leptogenesis
• Rare muon and tau decays in A4 Models
• Maximal CP Violation in Minimal Seesaw Model
• The Kobayashi-Maskawa Parametrization of Lepton Flavor Mixing and Its Application to Neutrino Oscillations in Matter
• Common Origin of Non-zero ${\theta }_{13}$ and Dark Matter in an $S_4$ Flavour Symmetric Model with Inverse Seesaw
• Realization of the minimal extended seesaw mechanism and the $T{M}_2$ type neutrino mixing
• Predictive $S_4$ flavon model with ${\text{TM}}_1$ mixing and baryogenesis through leptogenesis
• Theoretical Models of Neutrino Mixing: Recent Developments
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings
• Magic square and Dirac flavor neutrino mass matrix
• Connecting Leptonic CP Violation, Lightest Neutrino Mass and Baryon Asymmetry Through Type II Seesaw
• Trimaximal Mixing and Extended Magic Symmetry in a Model of Neutrino Mass Matrix
• New Prediction For Leptonic Theta_13
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Radiative Generation of Non-zero ${\theta }_{13}$ in MSSM with broken $A_4$ Flavor Symmetry
• Real Invariant Matrices and Flavour-Symmetric Mixing Variables with Emphasis on Neutrino Oscillations
• Theta_{13}, Rare Decays and Leptonic CP Violation
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• Quark Mixing from Mass Matrix Model with Flavor 2 (\leftrightarrow) 3 Symmetry
• Investigating texture six zero lepton mass matrices
• Planck Scale Origin of Non-zero ${\theta }_{13}$ and Super-WIMP Dark Matter
• Quasi-degenerate Neutrino mass models and their significance: A model independent investigation
• Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Symmetry and two-zero Textures of Inverse Neutrino Mass Matrix in light of Muon ($g-2$)
• Magic square and three-zero textures for Dirac neutrinos
• CP-like Symmetry with Discrete and Continuous Groups and CP Violation/Restoration
• Phenomenological implications of two simple modifications to Tri-Bimaximal mixing
• The Dark Side of ${\theta }_{13}$, ${\delta }_{CP}$, Leptogenesis and Inflation in Type-I Seesaw
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture
• A general formula by $LD{L}^T$ decomposition for the type-I seesaw mechanism