Generalized Tri-bimaximal Neutrino Mixing and Its Sensitivity to Radiative Corrections

Abstract

We argue that the tri-bimaximal neutrino mixing pattern $V_0$ or its generalized form $V_0^{\prime }$, which includes two arbitrary Majorana phases of CP violation, may result from an underlying flavor symmetry at a superhigh energy scale close to the seesaw scale ($\sim 10^{14}$ GeV). Taking the working assumption that three neutrino masses are nearly degenerate, we calculate radiative corrections to $V_0$ and $V_0^{\prime }$ in their evolution down to the electroweak scale ($\sim 10^2$ GeV). Three mixing angles of $V_0$ or $V_0^{\prime }$ are essentially stable against radiative corrections in the standard model (SM). In the minimal supersymmetric standard model (MSSM), however, $V_0$ is in general disfavored and $V_0^{\prime }$ can be compatible with current neutrino oscillation data if its two Majorana phases ${\alpha }_1^{}$ and ${\alpha }_2^{}$ are properly fine-tuned. We also find that it is possible to radiatively generate the CP-violating phase $\delta$ from ${\alpha }_1^{}$ and ${\alpha }_2^{}$, and δmay keep on staying at its fixed point in either the SM or the MSSM.

arXiv commentRevTex 14 pages, 2 figures. Table I corrected. Minor changes made. More discussions added

References in corpus (49)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• 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
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Renormalization of the Neutrino Mass Operator
• Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences
• Running Neutrino Mass Parameters in See-Saw Scenarios
• Some Simple Mixing and Mass Matrices for Neutrinos
• Renormalization Group Equations for Seesaw Neutrino Masses
• A_4 Symmetry and Neutrinos with Very Different Masses
• Neutrino Mass Models
• Neutrino Mass Operator Renormalization Revisited
• Search for Neutrino Oscillations at the Palo Verde Nuclear Reactors
• Lepton Mass Hierarchy and Neutrino Oscillations
• Models of Neutrino Masses and Mixings
• General RG Equations for Physical Neutrino Parameters and their Phenomenological Implications
• Large Leptonic Flavor Mixing and the Mass Spectrum of Leptons
• Quantum corrections to neutrino masses and mixing angles
• Flavor Mixing and CP Violation of Massive Neutrinos
• Neutrino Mass Matrix Running for Non-Degenerate See-Saw Scales
• Neutrino Mass Operator Renormalization in Two Higgs Doublet Models and the MSSM
• Implications of neutrino data circa 2005
• Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$
• Naturalness of nearly degenerate neutrinos
• Maximal Neutrino Mixing and Maximal CP Violation
• Nearly degenerate neutrinos, Supersymmetry and radiative corrections
• Non-vanishing $U_{e3}$ and $\cos 2{\theta }_{23}$ from a broken $Z_2$ symmetry
• S3 x Z2 model for neutrino mass matrices
• Running Neutrino Masses, Leptonic Mixing Angles and CP-Violating Phases: From $M_{\mathrm{Z}}$ to ${\Lambda }_{\mathrm{GUT}}$
• How to Describe Neutrino Mixing and CP Violation
• Non-Abelian Discrete Symmetries and Neutrino Masses: Two Examples
• Renormalization Effect on Large Neutrino Flavor Mixing in the Minimal Supersymmetric Standard Model
• Parametrization of Neutrino Mixing Matrix in Tri-bimaximal Mixing Pattern
• On a model with two zeros in the neutrino mass matrix
• The renormalization group analysis of the large lepton flavor mixing and the neutrino mass
• Form Invariance of the Neutrino Mass Matrix
• The effect of Majorana phase in degenerate neutrinos
• The effects of Majorana phases in three-generation neutrinos
• Democratic Neutrino Mixing Reexamined
• Radiative Generation of ${\theta }_{13}$ with the Seesaw Threshold Effect
• Radiative Generation of Leptonic CP Violation
• Wolfenstein-like Parametrization of the Neutrino Mixing Matrix

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• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• CP Violation and Neutrino Oscillations
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• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Tribimaximal Neutrino Mixing from a Supersymmetric Model with A_4 Family Symmetry
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
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• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
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• On the origin of neutrino flavour symmetry
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• Renormalization group running of neutrino parameters
• Tri-Bimaximal Lepton Mixing and Leptogenesis
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• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Tri-bimaximal Neutrino Mixing and ${\theta }_{13}$
• A model realizing the Harrison-Perkins-Scott lepton mixing matrix
• Large U_{e3} and Tri-bimaximal Mixing
• Tri-bimaximal lepton mixing from symmetry only
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• A_4xSU(5) SUSY GUT of Flavour in 8d
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• The T2K Indication of Relatively Large theta_13 and a Natural Perturbation to the Democratic Neutrino Mixing Pattern
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• Radiative corrections and explicit perturbations to the tetra-maximal neutrino mixing with large theta_13
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• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Radiatively broken symmetries of nonhierarchical neutrinos
• Deviations from Tri-bimaximal Neutrino Mixing in Type-II Seesaw and Leptogenesis
• Renormalization Group Evolution in the type I + II seesaw model
• Measurable Neutrino Mass Scale in A4 x SU(5)
• The symmetry approach to quark and lepton masses and mixing
• Two Categories of Approximately mu-tau Symmetric Neutrino Mass Textures
• A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}
• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$
• On the Vanishing of the CP Asymmetry in Leptogenesis due to Form Dominance
• A new relation between quark and lepton mixing matrices
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Remark on the minimal seesaw model and leptogenesis with tri/bi-maximal mixing
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Suppressed FCNC in New Physics with Shared Flavor Symmetry
• Threshold effects on renormalization group running of neutrino parameters in the low-scale seesaw model
• Distinguishable RGE running effects between Dirac neutrinos and Majorana neutrinos with vanishing Majorana CP-violating phases
• Recent Neutrino Data and a Realistic Tribimaximal-like Neutrino Mixing Matrix
• Leptonic CP Violation Induced by Approximately mu-tau Symmetric Seesaw Mechanism
• Dirac Lepton Angle Matrix v.s. Majorana Lepton Angle Matrix and Their Renormalization Group Running Behaviours
• Quasi-degenerate neutrinos and tri-bi-maximal mixing
• Theory of the Neutrino Mass
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• Quasi-Dirac neutrinos in a model with local $B-L$ symmetry
• On the Quasi-fixed Point in the Running of CP-violating Phases of Majorana Neutrinos
• Integral solutions to the one-loop renormalization-group equations for lepton flavor mixing parameters and the Jarlskog invariant
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
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• Theoretical Models of Neutrino Mixing: Recent Developments
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• Revisiting the Quark-Lepton Complementarity and Triminimal Parametrization of Neutrino Mixing Matrix
• Corrections to Tribimaximal Mixing from Nondegenerate Phases
• Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector