Repressing Anarchy in Neutrino Mass Textures

Abstract

The recent results that ${\theta }_{13}$ is relatively large, of the order of the previous upper bound, and the indications of a sizable deviation of ${\theta }_{23}$ from the maximal value are in agreement with the predictions of Anarchy in the lepton sector. The quark and charged lepton hierarchies can then be reproduced in a SU(5) GUT context by attributing non-vanishing $U(1{)}_{FN}$ charges, different for each family, only to the SU(5) tenplet states. The fact that the observed mass hierarchies are stronger for up quarks than for down quarks and charged leptons supports this idea. As discussed in the past, in the flexible context of $SU(5)\otimes U(1{)}_{FN}$, different patterns of charges can be adopted going from Anarchy to various types of hierarchy. We revisit this approach by also considering new models and we compare all versions to the present data. As a result we confirm that, by relaxing the extreme ansatz of equal $U(1{)}_{FN}$ charges for all SU(5) pentaplets and singlets, better agreement with the data than for Anarchy is obtained without increasing the model complexity. We also present the distributions obtained in the different models for the Dirac CP-violating phase. Finally we discuss the relative merits of these simple models.

v1: 12 pages, 3 figures; v2: 13 pages, 3 figures, text improved, matches version accepted for publication; v3: submitted to add an acknowledgment to a network

References in corpus (9)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Quark-Lepton Complementarity in Unified Theories
• Golden Ratio Prediction for Solar Neutrino Mixing
• Different SO(10) Paths to Fermion Masses and Mixings
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Quark-lepton complementarity, neutrino and standard model data predict $({\theta }_{13}^{PMNS}=9_{-2}^{+1}{)}^{\circ }$
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• Deviations from Tri-Bimaximality and Quark-Lepton Complementarity

Cited by in corpus (40)

• Neutrino Mass and Mixing: from Theory to Experiment
• Baryogenesis from the weak scale to the grand unification scale
• Looking forward to Lepton-flavor-violating ALPs
• Cosmology in Mirror Twin Higgs and Neutrino Masses
• Pieces of the Flavour Puzzle
• Finite Symmetry of Leptonic Mass Matrices
• The Minimal Flavour Violating Axion
• Lepton Flavor Violation in Flavored Gauge Mediation
• Lepton flavor at the electroweak scale: A complete A4 model
• Leptonic Dynamical Yukawa Couplings
• A Bayesian comparison of U(1) lepton flavour models
• Neutrino Masses and Hubble Tension via a Majoron in MFV
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Theta(13) and charged Lepton Flavor Violation in "warped" A(4) models
• Distinguishing A Higgs-Like Dilaton Scenario With A Complete Bosonic Effective Field Theory Basis
• Order and Anarchy hand in hand in 5D SO(10)
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Neutrino textures and charged lepton flavour violation in light of theta13, MEG and LHC data
• Predictive Leptogenesis from Minimal Lepton Flavour Violation
• Quasidegeneracy of Majorana Neutrinos and the Origin of Large Leptonic Mixing
• Anarchy with Hierarchy: A Probabilistic Appraisal
• A New bound on CP Violation in the $\tau$ Lepton Yukawa Coupling and electroweak baryogenesis
• Baryonic violation of R-parity from anomalous $U(1{)}_H$
• Neutrino Anarchy and Renormalization Group Evolution
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• Dark matter production through a non-thermal flavon portal
• Leptonic CP Violation from a New Perspective
• Searching for BSM Physics in Yukawa Couplings and Flavour Symmetries
• Data Driven Flavour Model
• Gravitational waves from cosmic strings in Froggatt-Nielsen flavour models
• Implications of the Muon g-2 result on the flavour structure of the lepton mass matrix
• Leptogenesis and $CP$ violation in $SU(5)$ models with lepton flavor mixing originating from the right-handed sector
• Generic lepton mass matrices and neutrino oscillations
• Sterile Neutrino Anarchy
• Fermion mass hierarchies from supersymmetric gauged flavour symmetry in 5D
• Minimal lepton flavour structures lead to non-maximal 2-3 mixing
• Degenerate spectrum in the neutrino mass anarchy with Wishart matrices and implications for $0\nu \beta \beta$ and ${\delta }_{\mathrm{CP}}$
• Double Froggatt--Nielsen Mechanism
• Aspects of Leptonic Flavour Mixing
• A Bottom-Up Approach: The Data Driven Flavour Model