Minimal A4 Type-II Seesaw Realization of Testable Neutrino Mass Sum Rules

Abstract

We propose a flavour model based on an $A_4$ symmetry combined with a type-II seesaw mechanism for neutrino mass generation. The resulting neutrino mass matrix obeys a sum rule that, together with the measured mass-squared differences, fully determines the absolute neutrino mass spectrum. The constrained flavour structure yields correlated predictions for lepton mixing parameters, leads to inverted ordering after imposing mixing constraints, restricts the Majorana phases and implies a neutrinoless double beta decay rate close to its maximal value for inverted ordering. In the charged lepton sector an approximate triality symmetry arises in the seesaw limit, suppressing muon flavour-violating processes and allowing only specific $\tau$ decay channels. The model provides a tightly constrained and experimentally testable framework linking neutrino masses, lepton mixing and lepton-number-violating observables.

arXiv comment17 pages, 5 figures, accepted for publication in Phys. Rev. D

References in corpus (50)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Cosmology and Fundamental Physics with the Euclid Satellite
• Non-Abelian Discrete Symmetries in Particle Physics
• 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
• 2020 Global reassessment of the neutrino oscillation picture
• Neutrino Masses and Leptogenesis with Heavy Higgs Triplets
• General formulae for f1 --> f2 gamma
• An Improved Measurement of Neutrino Oscillation Parameters by the NOvA Experiment
• The Flavor Symmetry
• Type II Leptogenesis and the Neutrino Mass Scale
• Simple Non-Abelian Finite Flavor Groups and Fermion Masses
• The mu - e Conversion in Nuclei, mu --> e gamma, mu --> 3e Decays and TeV Scale See-Saw Scenarios of Neutrino Mass Generation
• Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry
• Measurements of neutrino oscillation parameters from the T2K experiment using $3.6\times 10^{21}$ protons on target
• Direct neutrino-mass measurement based on 259 days of KATRIN data
• Symmetrical Parametrizations of the Lepton Mixing Matrix
• Lepton masses and mixings in a $A_4$ multi-Higgs model with radiative seesaw mechanism
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• $A_4$ Flavour Model for Dirac Neutrinos: Type I and Inverse Seesaw
• Neutrino masses and mixing: a flavour symmetry roadmap
• Linear Seesaw for Dirac Neutrinos with $A_4$ Flavour Symmetry
• Generalized Bottom-Tau unification, neutrino oscillations and dark matter: predictions from a lepton quarticity flavor approach
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• Quark and Lepton Flavor Triality
• A predictive $331$ model with $A_4$ flavour symmetry
• Towards deconstructing the simplest seesaw mechanism
• Affleck-Dine Leptogenesis from Higgs Inflation
• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• Search for Majorana Neutrinos with the Complete KamLAND-Zen Dataset
• The symmetry approach to quark and lepton masses and mixing
• Predictions from scoto-seesaw with $A_4$ modular symmetry
• Type II Seesaw Leptogenesis
• Flavour-Dependent Type II Leptogenesis
• Probing Lepton Flavor Triality with Higgs Boson Decay
• Trimaximal neutrino mixing from scotogenic $A_4$ family symmetry
• Why matter effects matter for JUNO
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Multi-Higgs doublet models: the Higgs-fermion couplings and their sum rules
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• Lepton Flavour Violation Tests of Type II Seesaw Leptogenesis
• Cutting the Scotogenic loop: Adding flavor to Dark Matter
• Neutrino Mass Sum Rules from Modular ${\mathcal{A}}_4$ Symmetry
• Bounded-from-below conditions for $A_4$-symmetric 3HDM
• Absolute neutrino mass scale and dark matter stability from flavour symmetry
• Dirac Scoto Inverse-Seesaw from $A_4$ Flavor Symmetry
• Flavor Imprints on Novel Low Mass Dark Matter
• Exploring the feasibility of the charged lepton flavor violating decay $\mu \to e+\gamma$ in inverse and linear seesaw mechanisms with $A_4$ flavour symmetry
• Exploring dynamics of $A_4$ flavour symmetry using low scale seesaw mechanisms

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