Neutrino observables from predictive flavour patterns

Abstract

We look for predictive flavour patterns of the effective Majorana neutrino mass matrix that are compatible with current neutrino oscillation data. Our search is based on the assumption that the neutrino mass matrix contains equal elements and a minimal number of parameters, in the flavour basis where the charged lepton mass matrix is diagonal and real. Three unique patterns that can successfully explain neutrino observables at the $3\sigma$ confidence level with just three physical parameters are presented. Neutrino textures described by four and five parameters are also studied. The predictions for the lightest neutrino mass, the effective mass parameter in neutrinoless double beta decays and the CP-violating phases in the leptonic mixing are given.

23 pages, 3 figures, 13 tables; references and an appendix added

References in corpus (8)

• Observation of Electron Neutrino Appearance in a Muon Neutrino Beam
• Neutrino oscillations refitted
• Status of three-neutrino oscillation parameters, circa 2013
• Search for Neutrinoless Double-Beta Decay of ${}^{130}$Te with CUORE-0
• Weak Basis Transformations and Texture Zeros in the Leptonic Sector
• Two-zero Majorana textures in the light of the Planck results
• Abelian realization of phenomenological two-zero neutrino textures
• Confronting predictive texture zeros in lepton mass matrices with current data

Cited by in corpus (4)

• Mu-tau reflection symmetry with a texture-zero
• Minimal inverse-seesaw mechanism with Abelian flavour symmetries
• Octant Degeneracy, Quadrant of leptonic CPV phase at Long Baseline Neutrino Experiments and Baryogenesis
• Leptonic Invariants, Neutrino Mass-Ordering and the Octant of ${\theta }_{23}$