Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance

Abstract

Recent SNO results strongly favour the large mixing angle (LMA) MSW solar solution. We argue that there are only two technically natural low energy neutrino mass matrix structures consistent with the LMA MSW solution, corresponding to either a hierarchy or an inverted hierarchy with pseudo-Dirac neutrinos. We first present a model-independent analysis in which we diagonalise each of these two mass matrix structures to leading order in ${\theta }_{13}$ and extract the neutrino masses, mixing angles and phases. In this analysis we express the MNS matrix to leading order in the small angle ${\theta }_{13}$ including the neutrino {\em and} charged lepton mixing angles and phases, the latter playing a crucial rôle for allowing the inverted hierarchy case to be consistent with the LMA MSW solution. We then consider the see-saw mechanism with right-handed neutrino dominance and show how the successful neutrino mass matrix structures may be constructed with no tuning and with small radiative corrections, leading to a full, partial or inverted neutrino mass hierarchy. In each case we derive approximate analytic relations between the input see-saw parameters and the resulting neutrino masses, mixing angles and phases, which will provide a useful guide for unified model building. For the hierarchical cases the LMA MSW solution gives a soft lower bound $|U_{e3}|\simgt 0.1$, just below the current CHOOZ limit. Both hierarchical and inverted hierarchical cases predict small $\beta {\beta }_{0\nu }$ with $|m_{ee}|\sim 0.01$ eV within the sensitivity of future proposals such as GENIUS. Successful leptogenesis is possible if the dominant right-handed neutrino is the heaviest one, but the leptogenesis phase is unrelated to the MNS phases.

Version published in JHEP09(2002)011

References in corpus (14)

• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• A lower bound on the right-handed neutrino mass from leptogenesis
• Evidence for Neutrinoless Double Beta Decay
• Neutrino oscillations and signals in beta and 0nu2beta experiments
• A new upper limit on the total neutrino mass from the 2dF Galaxy Redshift Survey
• Leptogenesis, CP violation and neutrino data: What can we learn?
• Comment on "Evidence for Neutrinoless Double Beta Decay"
• Before and After: How has the SNO NC measurement changed things?
• Neutrino Mass Operator Renormalization in Two Higgs Doublet Models and the MSSM
• Imprint of SNO neutral current data on the solar neutrino problem
• Implications of the first neutral current data from SNO for Solar Neutrino Oscillation
• Large Solar Angle and Seesaw Mechanism: a Bottom-up Perspective
• Supergraph Techniques and Two-Loop Beta-Functions for Renormalizable and Non-Renormalizable Operators

Cited by in corpus (162)

• Leptogenesis
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Theory of Neutrinos: A White Paper
• Neutrino Mass and Mixing: from Theory to Experiment
• Flavour physics of leptons and dipole moments
• Neutrino Mass Models
• Neutrino Phenomenology -- the case of two right handed neutrinos
• Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
• Unified Models of Neutrinos, Flavour and CP Violation
• A4 family symmetry and quark-lepton unification
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
• Charged Lepton Corrections to Neutrino Mixing Angles and CP Phases Revisited
• A review of mu-tau flavor symmetry in neutrino physics
• Modular $S_4$ and $A_4$ Symmetries and Their Fixed Points: New Predictive Examples of Lepton Mixing
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Broken mu-tau Symmetry and Leptonic CP Violation
• Multiple modular symmetries as the origin of flavour
• Flavour-Dependent Leptogenesis with Sequential Dominance
• Spontaneous CP violation and Non-Abelian Family Symmetry in SUSY
• Correlated Hierarchy, Dirac Masses and Large Mixing Angles
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Naturalness, Vacuum Stability and Leptogenesis in the Minimal Seesaw Model
• Can Neutrino Mixings Arise from the Charged Lepton Sector?
• Quark-Lepton Complementarity in Unified Theories
• Impact of ${\theta }_{13}$ on Lepton Flavour Violating processes within SUSY Seesaw
• Tri-bimaximal-Cabibbo Mixing
• Structure of Cosmological CP Violation via Neutrino Seesaw
• Bi-large Neutrino Mixing and CP violation in an SO(10) SUSY GUT for Fermion Masses
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• Double Covering of the Modular $A_5^{}$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model
• A4 models of tri-bimaximal-reactor mixing
• Quark and lepton masses at the GUT scale including SUSY threshold corrections
• Flavor Symmetry L_e - L_mu - L_tau, Atmospheric Neutrino Mixing and CP Violation in the Lepton Sector
• Leptogenesis-MNS Link in Unified Models with Natural Neutrino Mass Hierarchy
• Neutrino Mixing Sum Rules and Oscillation Experiments
• Models of Neutrino Masses: Anarchy versus Hierarchy
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Phased Breaking of mu-tau symmetry and Leptogenesis
• Minimal see-saw model predicting best fit lepton mixing angles
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Neutrino mass matrix: inverted hierarchy and CP violation
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• Neutrino masses in a 331 model with right-handed neutrinos without doubly charged Higgs
• From Hierarchical to Partially Degenerate Neutrinos via Type II Upgrade of Type I See-Saw Models
• Littlest Seesaw
• Tri-bimaximal Neutrino Mixing and ${\theta }_{13}$
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• Large U_{e3} and Tri-bimaximal Mixing
• The Dark Side of the Littlest Seesaw: freeze-in, the two right-handed neutrino portal and leptogenesis-friendly fimpzillas
• The minimal seesaw and leptogenesis models
• A model of quark and lepton mixing
• Charged lepton contributions to the solar neutrino mixing and theta_13
• Neutrino Masses and Mixings from String Theory Instantons
• A Minimal Model of Neutrino Flavor
• Neutrinoless Double Beta Decay and Future Neutrino Oscillation Precision Experiments
• A fuller flavour treatment of N_2-dominated leptogenesis
• A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2)
• Type II See-Saw Mechanism, Deviations from Bimaximal Neutrino Mixing and Leptogenesis
• Towards a complete $\Delta (27)\times SO(10)$ SUSY GUT
• Spontaneous CP violation in A4xSU(5) with Constrained Sequential Dominance 2
• An SU(5) x A5 Golden Ratio Flavour Model
• Is there maximal mixing in the lepton sector?
• Solving the Flavour Problem in Supersymmetric Standard Models with Three Higgs Families
• Minimal Seesaw extension for Neutrino Mass and Mixing, Leptogenesis and Dark Matter: FIMPzillas through the Right-Handed Neutrino Portal
• Kahler corrections and softly broken family symmetries
• Neutrino Mixing from the Charged Lepton Sector with Sequential Right-Handed Lepton Dominance
• Flavour from accidental symmetries
• Precision neutrino experiments vs the Littlest Seesaw
• Perturbative Estimates of Lepton Mixing Angles in Unified Models
• Reconstructing the two right-handed neutrino model
• Measurable Neutrino Mass Scale in A4 x SU(5)
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Tri-hypercharge: a separate gauged weak hypercharge for each fermion family as the origin of flavour
• Tri-bi-maximal mixing in viable family symmetry unified model with extended seesaw
• Leptogenesis and Neutrino Oscillations Within A Predictive G(224)/SO(10)-Framework
• Study of theory and phenomenology of some classes of family symmetry and unification models
• The symmetry approach to quark and lepton masses and mixing
• Patterns of Lepton-Flavour Violation Motivated by Decoupling and Sneutrino Inflation
• Quark mixing sum rules and the right unitarity triangle
• A Unified Model of Quarks and Leptons with a Universal Texture Zero
• Discrete Symmetries and Neutrino Mass Perturbations for θ_{13}
• $\mu -\tau$ Symmetry and Radiatively Generated Leptogenesis
• Neutrino mu-tau reflection symmetry and its breaking in the minimal seesaw
• Fitting high-energy Littlest Seesaw parameters using low-energy neutrino data and leptogenesis
• On the Vanishing of the CP Asymmetry in Leptogenesis due to Form Dominance
• A to Z of Flavour with Pati-Salam
• Invariant see-saw models and sequential dominance
• Exceptional Supersymmetric Standard Models with non-Abelian Discrete Family Symmetry
• Leptogenesis and a Jarlskog Invariant
• A natural $S_4\times SO(10)$ model of flavour
• Large and Almost Maximal Neutrino Mixing within the Type II See-Saw Mechanism
• Hierarchical Matrices in the See-Saw Mechanism, large Neutrino Mixing and Leptogenesis
• Matter inflation with A_4 flavour symmetry breaking
• Twin Pati-Salam theory of flavour with a TeV scale vector leptoquark
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Neutrino masses, mixing and leptogenesis in a two Higgs doublet model for the third generation
• Sufficient and Necessary Conditions for CP Conservation in the Case of Degenerate Majorana Neutrino Masses
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Calculable lepton masses, seesaw relations and four neutrino mixings in a 3-3-1 model with extra U(1) symmetry
• ${\theta }_{13}^{}$ and The Flavor Ring
• Cosmic string gravitational waves from global $U(1{)}_{B-L}$ symmetry breaking as a probe of the type I seesaw scale
• Littlest Seesaw model from S4 x U(1)
• Predictivity of Neutrino Mass Sum Rules
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• On expansions in neutrino effective field theory
• Minimal seesaw and leptogenesis with the smallest modular finite group
• Hierarchical Neutrino Mass Matrices, CP violation and Leptogenesis
• Global Analysis of a Supersymmetric Pati-Salam Model
• A New Littlest Seesaw Model
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Lepton Flavour Violation in the Constrained MSSM with Constrained Sequential Dominance
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Tri-Direct CP in the Littlest Seesaw Playground
• Minimal complete tri-hypercharge theories of flavour
• Naturally Degenerate Right Handed Neutrinos
• Lepton Flavour Violation from Yukawa Operators, Supergravity and the See-Saw mechanism
• Low scale type I seesaw model for lepton masses and mixings
• Littlest mu-tau seesaw
• Muon anomalies and the $SU(5)$ Yukawa relations
• CP and Lepton-Number Violation in GUT Neutrino Models with Abelian Flavour Symmetries
• New Weinberg operator for neutrino mass and its seesaw origin
• A Comprehensive Renormalisation Group Analysis of the Littlest Seesaw Model
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing
• Effective alignments as building blocks of flavour models
• Generalized perturbations in neutrino mixing
• Effective alignments and the landscape of $S_4$ flavour models
• Large Lepton Mixings from Continuous Symmetries
• An expansion for Neutrino Phenomenology
• Deviations from tri-bimaximal mixing
• 5D seesaw, flavor structure, and mass textures
• Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry
• Predicting ${\delta }^{\text{PMNS}}$, ${\theta }_{23}^{\text{PMNS}}$ and fermion mass ratios from flavour GUTs with CSD2
• Neutrino mixing sum rules and the Littlest Seesaw
• Dark Sector extensions of the Littlest Seesaw in the presence of Primordial Black Holes
• Constraints on Natural MNS Parameters from |U_e3|
• Neutrino Mixing by modifying the Yukawa coupling structure of constrained sequential dominance
• The Smallest Neutrino Mass Revisited
• $Z$ mediated Flavour Changing Neutral Currents with a Fourth Vector-Like Family
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Neutrino properties in E6 x SU(2)F SUSY GUT with spontaneous CP violation
• Bridging flavour violation and leptogenesis in SU(3) family models
• Quasi-degenerate Neutrino mass models and their significance: A model independent investigation
• Implications of the Zero 1-3 Flavour Mixing Hypothesis: Predictions for ${\theta }_{23}^{\mathrm{PMNS}}$ and ${\delta }^{\mathrm{PMNS}}$
• Low scale leptogenesis under neutrino $\mu$-$\tau$ reflection symmetry
• A model of cosmology and particle physics at an intermediate scale
• Revisiting the Universal Texture Zero of Flavour: a Markov Chain Monte Carlo Analysis
• Non-diagonal Charged Lepton Yukawa Matrix: Effects on Neutrino Mixing in Supersymmetry
• Progress on Models of Neutrino Masses and Mixings
• A split seesaw model with hidden neutrinoless double beta decay but successful leptogenesis
• Lepton Flavor Violating Decays as Probes of Neutrino Mass Spectra and Heavy Majorana Neutrino Masses
• Natural neutrino mass hierarchy in a theory of gauge flavour deconstruction
• 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
• Hilbert Series for Leptonic Flavor Invariants in the Minimal Seesaw Model
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry
• Exact parametrization of a minimal seesaw model