Study on perturbation schemes for achieving the real PMNS matrix from various symmetric textures

Abstract

The PMNS matrix displays an obvious symmetry, but not exact. There are several textures proposed in literature, which possess various symmetry patterns and seem to originate from different physics scenarios at high energy scales. To be consistent with the experimental measurement, all of the regularities slightly decline, i.e. the symmetry must be broken. Following the schemes given in literature, we modify the matrices (9 in total) to gain the real PMNS matrix by perturbative rotations. The transformations may provide hints about the underlying physics at high energies and the breaking mechanisms which apply during the evolution to the low energy scale, especially the results may be useful for the future model builders.

81 pages, 60 figures, 22 tables

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
• Possible Alternatives to Tri-bimaximal Mixing
• The golden ratio prediction for the solar neutrino mixing
• Zero minors of the neutrino mass matrix
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Group Theory and Dynamics of Neutrino Mixing
• Quark and lepton mixing angles with a dodeca-symmetry
• Tetra-maximal Neutrino Mixing and Its Implications on Neutrino Oscillations and Collider Signatures

Cited by in corpus (8)

• Deviation from Bimaximal Mixing and Leptonic CP Phases in $S_4$ Family Symmetry and Generalized CP
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Quasidegeneracy of Majorana Neutrinos and the Origin of Large Leptonic Mixing
• Leptonic CP Violation from a New Perspective
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• An underlying symmetry determines all elements of CKM and PMNS up to a universal constant?
• One-parameter Neutrino Mass Matrix and Symmetry Realization