Minimal Modification To The Tri-bimaximal Neutrino Mixing

Abstract

Current experimental data on neutrino oscillations are consistent with the tri-bimaximal mixing. If future experimental data will determine a non-zero $V_{e3}$ and/or find CP violations in neutrino oscillations, there is the need to modify the mixing pattern. We find that a simple neutrino mass matrix, resulting from $A_4$ family symmetry breaking with residual $Z_3$ and $Z_2$ discrete symmetries respectively for the Higgs sectors generating the charged lepton and neutrino mass matrices, can satisfy the required modifications. The neutrino mass matrix is minimally modified with just one additional complex parameter compared with the one producing the tri-bimaximal mixing. In this case, the CP violating Jarlskog factor $J$ has a simple form ($|J|=|V_{e1}{V}_{e3}|/2\sqrt{3}$ for real neutrino mass matrix), and also $V_{\mu i}=1/\sqrt{3}$. We also discuss how this mixing matrix can be tested experimentally.

arXiv commentLatex 11 pages with no figures. References added

References in corpus (33)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Search for neutrino oscillations on a long base-line at the CHOOZ nuclear power station
• 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
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Evidence for muon neutrino oscillation in an accelerator-based experiment
• Complete results for five years of GNO solar neutrino observations
• Some Simple Mixing and Mass Matrices for Neutrinos
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• Tribimaximal Neutrino Mixing from a Supersymmetric Model with A_4 Family Symmetry
• Status of three-neutrino oscillations after the SNO-salt data
• A Redetermination of the Neutrino Mass-Squared Difference in Tri-Maximal Mixing with Terrestrial Matter Effects
• Observation of Atmospheric Neutrino Oscillations in Soudan 2
• Aspects of the Tetrahedral Neutrino Mass Matrix
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
• A_4 symmetry and prediction of U_{e3} in a modified Altarelli-Feruglio model
• Deviations from Tribimaximal Neutrino Mixing
• Quark Mass Matrices in the A_4 Model
• Parametrization of Neutrino Mixing Matrix in Tri-bimaximal Mixing Pattern
• A model realizing the Harrison-Perkins-Scott lepton mixing matrix
• Global Analysis of Neutrino Oscillation
• Further Evidence for Threefold Maximal Lepton Mixing and a Hierarchical Spectrum of Neutrino Mass-Squared Differences
• Generation Permutation Symmetry and the Quark Mixing Matrix
• Pattern of the Approximate Mass Degeneracy of Majorana Neutrinos
• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$

Cited by in corpus (114)

• Neutrino Mass and Mixing with Discrete Symmetry
• Finite Modular Groups and Lepton Mixing
• Unified Models of Neutrinos, Flavour and CP Violation
• The Unique Horizontal Symmetry of Leptons
• A review of mu-tau flavor symmetry in neutrino physics
• Symmetry of Lepton Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Discrete Flavour Symmetries in Light of T2K
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• A4 See-Saw Models and Form Dominance
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Minimal Modification to Tri-bimaximal Mixing
• S_4 Flavored CP Symmetry for Neutrinos
• Lepton Mixing Predictions from Delta(6n^2) Family Symmetry
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries
• On the origin of neutrino flavour symmetry
• A Grand Delta(96) x SU(5) Flavour Model
• Pieces of the Flavour Puzzle
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Lepton mixing from the interplay of the alternating group A5 and CP
• Mixing angle and phase correlations from A5 with generalised CP and their prospects for discovery
• Flavor Composition of UHE Neutrinos at Source and at Neutrino Telescopes
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Tri-bimaximal Neutrino Mixing and ${\theta }_{13}$
• Trimaximal $\mu$-$\tau$ reflection symmetry
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Simple two Parameter Description of Lepton Mixing
• A_4xSU(5) SUSY GUT of Flavour in 8d
• Testing atmospheric mixing sum rules at precision neutrino facilities
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• The minimal seesaw and leptogenesis models
• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• A Minimal Model of Neutrino Flavor
• Spontaneous CP violation in A4xSU(5) with Constrained Sequential Dominance 2
• UV completions of flavour models and large theta_{13}
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• SUSY S4 x SU(5) revisited
• Lepton flavor at the electroweak scale: A complete A4 model
• Measurable Neutrino Mass Scale in A4 x SU(5)
• Non-unitary deviation from the tri-bimaximal lepton mixing and its implications on neutrino oscillations
• The symmetry approach to quark and lepton masses and mixing
• An $A_4$ realization of inverse seesaw: neutrino masses, ${\theta }_{13}$ and leptonic non-unitarity
• Zeros in the magic neutrino mass matrix
• Neutrino Mixing and the Frobenius Group T13
• Trimaximal mixing with a texture zero
• A new relation between quark and lepton mixing matrices
• On the Vanishing of the CP Asymmetry in Leptogenesis due to Form Dominance
• Remark on the minimal seesaw model and leptogenesis with tri/bi-maximal mixing
• Schizophrenic Neutrinos and $\nu$-less Double Beta Decay
• Triminimal Parametrization of Quark Mixing Matrix
• An A4 x Z4 model for neutrino mixing
• Corrections for tribimaximal, bimaximal and democratic neutrino mixing matrices
• Suppressed FCNC in New Physics with Shared Flavor Symmetry
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Unitarity constraints on trimaximal mixing
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• The Frobenius group T13 and the canonical see-saw mechanism applied to neutrino mixing
• A combination of the neutrino trimaximal mixings and mu-tau reflection symmetry in the type-I seesaw model
• Renormalisation group improved leptogenesis in family symmetry models
• CP violation in neutrino mixing with $\delta =-\pi /2$ in $A_4$ Type-II seesaw model
• Approaching Minimal Flavour Violation from an SU(5) x S4 x U(1) SUSY GUT
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing
• Testing the Bimodal/Schizophrenic Neutrino Hypothesis in Neutrinoless Double Beta Decay and Neutrino Telescopes
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Consistency of perturbed Tribimaximal, Bimaximal and Democratic mixing with Neutrino mixing data
• Implications of texture zeros for a variant of tribimaximal Mixing
• Neutrino phenomenology in the flavored NMSSM without domain wall problems
• Deviations in Tribimaximal Mixing From Sterile Neutrino Sector
• Comment on Reparametrization Invariance of Quark-Lepton Complementarity
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Implications of the Super-K atmospheric data for the mixing angles ${\theta }_{13}$ and ${\theta }_{23}$
• Discrete flavor symmetry and minimal seesaw mechanism
• Non-vanishing $U_{e3}$ under $S_3$ symmetry
• Deviation from Tribimaximal mixing using $A_4$ flavour model with five extra scalars
• Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry
• Neutrino Mass and Flavour Models
• New mixing schemes for (3+1) neutrinos
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• Trimaximal Mixing and Extended Magic Symmetry in a Model of Neutrino Mass Matrix
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Symmetryless Dark Matter
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• Revisiting the Quark-Lepton Complementarity and Triminimal Parametrization of Neutrino Mixing Matrix
• One-loop Type II Seesaw Neutrino Model with Stable Dark Matter Candidates
• SUSY SU(5) $\times S_4$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large ${\theta }_{13}^{PMNS}$
• Quasi-degenerate Neutrino mass models and their significance: A model independent investigation
• A new texture of neutrino mass matrix with three constraints
• Leptogenesis, Fermion Masses and Mixings in a SUSY $SU(5)$ GUT with $D_4$ Flavor Symmetry
• Corrections to Tribimaximal Mixing from Nondegenerate Phases
• Novel Flavon Stabilization with Trimaximal Neutrino Mixing
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• Phenomenology of Trimaximal mixing with one texture equality
• Particular textures of the minimal seesaw model
• Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector
• Renormalization group running triggered tri-resonant leptogenesis within neutrino flavor-symmetry models
• Recent Models of Neutrino Masses and Mixing
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• Rescuing leptogenesis in inverse seesaw models with the help of non-Abelian flavor symmetries
• Investigation of a kind of neutrino mass matrix
• Lepton mixing patterns from combinations of elementary correlations
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture
• Neutrino flavor mixing with approximate $\mu$-$\tau$ symmetry within the low-scale minimal linear seesaw model
• Domain Walls in the $A_4$ Flavored NMSSM
• A general formula by $LD{L}^T$ decomposition for the type-I seesaw mechanism
• New Parametrization of Neutrino Mixing Matrix