Radiatively broken symmetries of nonhierarchical neutrinos

Abstract

Symmetry-based ideas, such as the quark-lepton complementarity (QLC) principle and the tri-bimaximal mixing (TBM) scheme, have been proposed to explain the observed mixing pattern of neutrinos. We argue that such symmetry relations need to be imposed at a high scale $\Lambda \sim 10^{12}$ GeV characterizing the large masses of right-handed neutrinos required to implement the seesaw mechanism. For nonhierarchical neutrinos, renormalisation group evolution down to a laboratory energy scale $\lambda \sim 10^3$ GeV tends to radiatively break these symmetries at a significant level and spoil the mixing pattern predicted by them. However, for Majorana neutrinos, suitable constraints on the extra phases ${\alpha }_{2,3}$ enable the retention of those high scale mixing patterns at laboratory energies. We examine this issue within the Minimal Supersymmetric Standard Model (MSSM) and demonstrate the fact posited above for two versions of QLC and two versions of TBM. The appropriate constraints are worked out for all these four cases. Specifically, a preference for ${\alpha }_2\approx \pi$ (i.e. $m_1\approx -m_2$) emerges in each case. We also show how a future accurate measurement of ${\theta }_{13}$ may enable some discrimination among these four cases in spite of renormalization group evolution.

arXiv comment29 pages, 4 figures, revtex4. Minor changes in the Introduction, references added. Final version to be published in Phys. Rev. D

References in corpus (90)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• 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
• Electron Energy Spectra, Fluxes, and Day-Night Asymmetries of ${}^8$B Solar Neutrinos from the 391-Day Salt Phase SNO Data Set
• Bi-Maximal Mixing of Three Neutrinos
• Renormalization of the Neutrino Mass Operator
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Global analysis of three-flavor neutrino masses and mixings
• Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• The Neutrino Mass Window for Baryogenesis
• Neutrino Mass Operator Renormalization Revisited
• A 2-3 Symmetry in Neutrino Oscillations
• Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
• Neutrino Mixing and Quark-Lepton Complementarity
• The Solar Neutrino Puzzle: An Oscillation Solution with Maximal Neutrino Mixing
• Flavor effects on leptogenesis predictions
• General RG Equations for Physical Neutrino Parameters and their Phenomenological Implications
• Can Neutrinos be Degenerate in Mass?
• Relation between the neutrino and quark mixing angles and grand unification
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Planck-Scale Physics and Neutrino Masses
• On Deviations from Bimaximal Neutrino Mixing
• A Redetermination of the Neutrino Mass-Squared Difference in Tri-Maximal Mixing with Terrestrial Matter Effects
• Quantum corrections to neutrino masses and mixing angles
• The Absolute Neutrino Mass Scale, Neutrino Mass Spectrum, Majorana CP-Violation and Neutrinoless Double-Beta Decay
• Neutrino Mass Textures from Oscillations with Maximal Mixing
• Neutrino Mass Operator Renormalization in Two Higgs Doublet Models and the MSSM
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• Implications of neutrino data circa 2005
• Neutrino oscillation data versus minimal supersymmetric SO(10) model
• Deviations from Tribimaximal Neutrino Mixing
• A Flavor Symmetry for quasi-degenerate Neutrinos: L_mu-L_tau
• Nearly degenerate neutrinos, Supersymmetry and radiative corrections
• Twisted Flavors and Tri/bi-Maximal Neutrino Mixing
• High scale mixing unification and large neutrino mixing angles
• S3 x Z2 model for neutrino mass matrices
• Degenerate and Quasi Degenerate Majorana Neutrinos
• On the CP Violation Associated with Majorana Neutrinos and Neutrinoless Double-Beta Decay
• Fixed points in the evolution of neutrino mixings
• Mass and mixing angle patterns in the Standard Model and its Minimal Supersymmetric Extension
• Cabibbo Haze in Lepton Mixing
• Neutrino mixing and see-saw mechanism
• Quark-Lepton Complementarity in Unified Theories
• Possible Gauge Theoretic Origin for Quark-Lepton Complementarity
• Gauge Model for Maximal Neutrino Mixing
• Generation of large flavor mixing from radiative corrections
• Deviation of Neutrino Mixing from Bi-maximal
• Nontrivial Correlation between the CKM and MNS Matrices
• Generalized Tri-bimaximal Neutrino Mixing and Its Sensitivity to Radiative Corrections
• No-go for detecting CP violation via neutrinoless double beta decay
• CP Violation in Bilarge Lepton Mixing
• Reconciling Super-Kamiokande, LSND, and Homestake neutrino-oscillation data
• Quark lepton complementarity and renormalization group effects
• Global fits to neutrino oscillation data
• Majorana CP-Violating Phases, RG Running of Neutrino Mixing Parameters and Charged Lepton Flavour Violating Decays
• Renormalization Effect on Large Neutrino Flavor Mixing in the Minimal Supersymmetric Standard Model
• QLC relation and neutrino mass hierarchy
• Exploring the sensitivity of current and future experiments to ${\theta }_{\odot }$
• Importance of Threshold Corrections in Quark-Lepton Complementarity
• From Hierarchical to Partially Degenerate Neutrinos via Type II Upgrade of Type I See-Saw Models
• Neutrino Masses and Bimaximal Mixing
• Radiative magnification of neutrino mixings and a natural explanation of the neutrino anomalies
• High Precision Measurements of ${\theta }_{\odot }$ in Solar and Reactor Neutrino Experiments
• Quark-lepton complementarity with quasidegenerate Majorana neutrinos
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• Reactor Measurement of theta_12; Principles, Accuracies and Physics Potentials
• The effects of Majorana phases in three-generation neutrinos
• Viewing Lepton Mixing through the Cabibbo Haze
• Breaking of L_mu - L_tau Flavor Symmetry, Lepton Flavor Violation and Leptogenesis
• Lepton Flavor Violation as a Probe of Quark-Lepton Unification
• U(e3) from physics above the GUT scale
• Planck scale effects in neutrino physics
• Minimalistic Neutrino Mass Model
• Radiative Generation of ${\theta }_{13}$ with the Seesaw Threshold Effect
• Can radiative magnification of mixing angles occur for two-zero neutrino mass matrix textures?
• Threshold Effects on Quasi-degenerate Neutrinos with High-scale Mixing Unification
• Running of Low-Energy Neutrino Masses, Mixing Angles and CP Violation
• Predictive Framework with a Pair of Degenerate Neutrinos at a high scale
• Gravitationally violated U(1) symmetry and neutrino anomalies
• Quasi-degenerate neutrinos and leptogenesis from L_mu-L_tau
• Quark-Lepton universality and large leptonic mixing
• Predicting the Seesaw Scale in a Minimal Bottom-Up Extension of MSSM
• Can The Majorana neutrino CP-violating phases be restricted ?
• "Bimaximal + Democratic" type neutrino mass matrix in view of quark-lepton complementarity
• Neutrino masses and mixing

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• A review of mu-tau flavor symmetry in neutrino physics
• Golden Ratio Prediction for Solar Neutrino Mixing
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• Leptogenesis in the Exceptional Supersymmetric Standard Model: flavour dependent lepton asymmetries
• The Seesaw Mechanism in Quark-Lepton Complementarity
• Large U_{e3} and Tri-bimaximal Mixing
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• 'Mu-Tau' symmetry, tribimaximal mixing and four zero neutrino Yukawa textures
• Four Zero Neutrino Yukawa Textures in the Minimal Seesaw Framework
• Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Renormalization group evolution of neutrino masses and mixing in the Type-III seesaw mechanism
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• Hybrid textures in minimal seesaw mass matrices
• Tri-bimaximal Mixing from Cascades
• Renormalization group evolution of neutrino masses and mixing in seesaw models: A review
• Scaling ansatz, four zero Yukawa textures and large ${\theta }_{13}$
• ${\theta }_{13}$, $\mu \tau$ symmetry breaking and neutrino Yukawa textures
• Threshold effects on renormalization group running of neutrino parameters in the low-scale seesaw model
• Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix
• Tri-Bimaximal Mixing from Twisted Friedberg-Lee Symmetry
• Renormalization group evolution of neutrino mixing parameters near ${\theta }_{13}=0$ and models with vanishing ${\theta }_{13}$ at the high scale
• Neutrino masses, cosmological bound and four zero Yukawa textures
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry
• Dependence of the Quark-Lepton Complementarity on Parametrizations of the CKM and PMNS Matrices
• Deviations from tri-bimaximal mixing
• Normal versus inverted hierarchical models within $\mu -\tau$ symmetry
• Texture of Single Vanishing Subtrace in Neutrino Mass Matrix
• Threshold effects and renormalization group evolution of neutrino parameters in TeV scale seesaw models
• Nonzero ${\theta }_{13}$ in $SO(3)\to A_4$ lepton models
• Neutrino Mixing and Leptogenesis in $\mu -\tau$ Symmetry
• Rotated $\mu$\,--\,$\tau$ Symmetry for One Generic Neutrino Mixing Angle: An analytical Study
• Neutrino Yukawa textures within type-I see-saw