Neutrino Mass Sum Rules and Symmetries of the Mass Matrix

Abstract

Neutrino mass sum rules have recently gained again more attention as a powerful tool to discriminate and test various flavour models in the near future. A related question which was not yet discussed fully satisfactorily was the origin of these sum rules and if they are related to any residual or accidental symmetry. We will address this open issue here systematically and find previous statements confirmed. Namely, that the sum rules are not related to any enhanced symmetry of the Lagrangian after family symmetry breaking but that they are simply the result of a reduction of free parameters due to skillful model building.

10 pages, no figures, accepted for publication in European Physical Journal C

References in corpus (23)

• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• A model for fermion masses and lepton mixing in SO(10) x A4
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Suitability of A_4 as a Family Symmetry in Grand Unification
• S_4 Flavored CP Symmetry for Neutrinos
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• A SUSY A4 model for fermion masses and mixings
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• Tri-bimaximal neutrino mixing and neutrinoless double beta decay
• Soft L_e-L_mu-L_tau flavour symmetry breaking and sterile neutrino keV Dark Matter
• An A4 flavor model for quarks and leptons in warped geometry
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Fermion Mass Hierarchies and Flavor Mixing from $T^{\prime }$ Symmetry
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• Flavored Peccei-Quinn symmetry
• An SU(5) x A5 Golden Ratio Flavour Model
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Confronting Flavour Symmetries and extended Scalar Sectors with Lepton Flavour Violation Bounds
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Predictivity of Neutrino Mass Sum Rules
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules

Cited by in corpus (8)

• The symmetry approach to quark and lepton masses and mixing
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• Compact model for Quarks and Leptons via flavored-Axions
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase
• The mass ratios parametrization
• Neutrino Oscillations in the Three Flavor Paradigm