Models of Neutrino Masses: Anarchy versus Hierarchy

Abstract

We present a quantitative study of the ability of models with different levels of hierarchy to reproduce the solar neutrino solutions, in particular the LA solution. As a flexible testing ground we consider models based on SU(5)xU(1)_F. In this context, we have made statistical simulations of models with different patterns from anarchy to various types of hierachy: normal hierarchical models with and without automatic suppression of the 23 (sub)determinant and inverse hierarchy models. We find that, not only for the LOW or VO solutions, but even in the LA case, the hierarchical models have a significantly better success rate than those based on anarchy. The normal hierachy and the inverse hierarchy models have comparable performances in models with see-saw dominance, while the inverse hierarchy models are particularly good in the no see-saw versions. As a possible distinction between these categories of models, the inverse hierarchy models favour a maximal solar mixing angle and their rate of success drops dramatically as the mixing angle decreases, while normal hierarchy models are far more stable in this respect.

arXiv commentv1: 28 pages, 12 figures; v2: 34 pages, 14 figures, updated previous analysis with the inclusion of recent SNO results

References in corpus (83)

• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Limits on Neutrino Oscillations from the CHOOZ Experiment
• Latest Results from the Heidelberg-Moscow Double Beta Decay Experiment
• Evidence for Neutrinoless Double Beta Decay
• Fermion masses and mixing angles from gauge symmetries
• Mass Matrix Models: The Sequel
• Mass Matrix Models
• The Igex 76ge Neutrinoless Double-Beta Decay Experiment: Prospects for Next Generation Experiments
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Neutrino Mass Anarchy
• Search for Neutrino Oscillations at the Palo Verde Nuclear Reactors
• Yukawa Textures and Anomalies
• Predictions from an Anomalous U(1) Model of Yukawa Hierarchies
• Atmospheric and Solar Neutrinos with a Heavy Singlet
• A Minimality Condition and Atmospheric Neutrino Oscillations
• Anarchy and Hierarchy
• Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance
• Oscillations of solar and atmospheric neutrinos
• Neutrino oscillations and signals in beta and 0nu2beta experiments
• Yukawa matrices from a spontaneously broken abelian symmetry
• Yukawa textures with an anomalous horizontal abelian symmetry
• Global Analysis of Solar Neutrino Oscillations Including SNO CC Measurement
• Atmospheric and Solar Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• See-saw Enhancement of Lepton Mixing
• Model-dependent and independent implications of the first Sudbury Neutrino Observatory results
• Quark Lepton Mass Hierarchies and the Baryon Asymmetry
• Large Lepton Mixing in a Coset-space Family Unification on $E_7/SU(5)\times U(1{)}^3$
• Neutrino Mass Textures from Oscillations with Maximal Mixing
• Before and After: How has the SNO NC measurement changed things?
• Comment on "Evidence for Neutrinoless Double Beta Decay"
• Softly broken lepton numbers and maximal neutrino mixing
• Family Symmetry and Neutrino Mixing
• A Simple Grand Unification View of Neutrino Mixing and Fermion Mass Matrices
• Imprint of SNO neutral current data on the solar neutrino problem
• Type II Seesaw and a Gauge Model for the Bimaximal Mixing Explanation of Neutrino Puzzles
• Neutrinos on Earth and in the Heavens
• Bi-Maximal Neutrino Mixing in the MSSM with a Single Right-Handed Neutrino
• Implications of the first neutral current data from SNO for Solar Neutrino Oscillation
• From Minimal to Realistic Supersymmetric SU(5) Grand Unification
• Anomalous Flavor U(1): Predictive Texture For Bi-maximal Neutrino Mixing
• Models of Neutrino Masses from Oscillations with Maximal Mixing
• Large Neutrino Mixing from Small Quark and Lepton Mixings
• Fermion masses in SO(10) with a single adjoint Higgs field
• Neutrino mixing and see-saw mechanism
• Quasi-degenerate neutrinos from an abelian family symmetry
• Predictive Schemes for Bimaximal Neutrino Mixings
• Neutrino Masses in E_6 Unification
• Large Solar Angle and Seesaw Mechanism: a Bottom-up Perspective
• Neutrino Mixings and Fermion Masses in Supersymmetric SU(5)
• New model for the neutrino mass matrix
• Neutrino masses from U(1) symmetries and the Super-Kamiokande data
• Anomalous U(1) symmetry and missing doublet SU(5) model
• Atmospheric and Solar Neutrino Masses from Horizontal U(1) Symmetry
• A neutrino mass matrix with seesaw mechanism and two-loop mass splitting
• Large Mixing and Large Hierarchy Between Neutrinos with Abelian Flavor Symmetries
• Grand unified textures for neutrino and quark mixings
• Textures for Atmospheric and Solar Neutrino Oscillations
• Inverted Hierarchy Models of Neutrino Masses
• Robust signatures of solar neutrino oscillation solutions
• Soft lepton-flavor violation in a multi-Higgs-doublet seesaw model
• Nonabelian Discrete Symmetries, Fermion Mass Textures and Large Neutrino Mixing
• E_6 Unification with Bi-Large Neutrino Mixing
• Three-flavor solar neutrino oscillations with terrestrial neutrino constraints
• Expected Properties of Massive Neutrinos for Mass Matrices with a Dominant Block and Random Coefficients Order Unity
• Which solar neutrino data favour the LMA solution?
• Quark and Lepton Flavor Mixings in the SU(5) Grand Unification Theory
• Super-Kamiokande atmospheric neutrinos: Status of subdominant oscillations
• Seesaw model with softly broken L_e - L_μ- L_τ
• Latest Results of the KARMEN2 Experiment
• Neutrino Masses and Mixing Angles in a Realistic String-Inspired Model
• Neutrino masses and mixings from an SMG \times U(1)^2 model
• New fermion mass textures from anomalous U(1) symmetries with baryon and lepton number conservation
• Neutrino Masses and Mixing with Non-Anomalous Abelian Flavor Symmetries
• Hierarchy and Anarchy in Quark Mass Matrices, or Can Hierarchy Tolerate Anarchy?
• Non anomalous U(1)_H gauge model of flavor
• The problem of neutrino masses in extensions of the Standard Model
• Vacuum Solutions of Neutrino Anomalies Through a Softly Broken U(1) symmetry
• A Two Parameter Texture of Nearly Bi-maximal Neutrino Mixing
• Neutrino masses from operator mixing
• Discriminating Neutrino See-Saw Models
• Large Mixing Angle MSW Solution in U(1) Flavor Symmetry
• A Predictive Minimal Model for Neutrino Masses and Mixings
• Neutrino masses and non abelian horizontal symmetries

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• Bilarge neutrino mixing from supersymmetry with high-scale nonrenormalizable interactions
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