Neutrino Mass Sum-rules in Flavor Symmetry Models

Abstract

Four different neutrino mass sum-rules have been analyzed: these frequently arise in flavor symmetry models based on the groups A_4, S_4 or T', which are often constructed to generate tri-bimaximal mixing. In general, neutrino mass can be probed in three different ways, using beta decay, neutrino-less double beta decay and cosmology. The general relations between the corresponding three neutrino mass observables are well known. The sum-rules lead to relations between the observables that are different from the general case and therefore only certain regions in parameter space are allowed. Plots of the neutrino mass observables are given for the sum-rules, and analytical expressions for the observables are provided. The case of deviations from the exact sum-rules is also discussed, which can introduce new features. The sum-rules could be used to distinguish some of the many models in the literature, which all lead to the same neutrino oscillation results.

22 pages, 10 figures; matches the version published in Nuclear Physics B

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Cited by in corpus (22)

• Higgs $\to \mu \tau$ in Abelian and Non-Abelian Flavor Symmetry Models
• S_4 Flavored CP Symmetry for Neutrinos
• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• Relating quarks and leptons with the T7 flavour group
• Flavored Peccei-Quinn symmetry
• An SU(5) x A5 Golden Ratio Flavour Model
• The symmetry approach to quark and lepton masses and mixing
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Type III seesaw under $A_4$ modular symmetry with leptogenesis
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Reactor mixing angle from hybrid neutrino masses
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• The quest for neutrinoless double beta decay: Pseudo-Dirac, Majorana and sterile neutrinos
• Neutrino Mass Sum Rules from Modular ${\mathcal{A}}_4$ Symmetry
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• Renormalization Group Running of Lepton Mixing Parameters in See-Saw Models with $S_4$ Flavor Symmetry
• Broken Democracy with Intermediate ${\mathbb{S}}_2\times {\mathbb{S}}_2$ Residual Symmetry and Random Perturbations
• Minimal A4 Type-II Seesaw Realization of Testable Neutrino Mass Sum Rules
• Cosmic Dark Energy Emerging from Gravitationally Effective Vacuum Fluctuations
• Status and Perspectives of Neutrino Physics
• Neutrino Oscillations in the Three Flavor Paradigm