Generalized Hidden ${\mathcal{Z}}_2$ Symmetry of Neutrino Mixing

Abstract

We explore the consequences of the neutrino mass matrix having a hidden ${\mathcal{Z}}_2$ symmetry and one zero eigenvalue. When implemented, these two conditions give relations among the mixing angles. In addition, fitting these relations to the existing oscillation data allows limits to be placed on the parameter of the symmetry.

10 pages, 1 table, 5 figures, revised references

References in corpus (6)

• The Unique Horizontal Symmetry of Leptons
• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• Mass Independent Textures and Symmetry
• Common Origin of Soft mu-tau and CP Breaking in Neutrino Seesaw and the Origin of Matter
• Search for muon-neutrino to electron-neutrino transitions in MINOS
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• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry
• Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix
• Large Leptonic Dirac CP Phase from Broken Democracy with Random Perturbations
• Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis
• Predictions for the Dirac CP-Violating Phase from Sum Rules
• Predictions for the Leptonic Dirac CP-Violating Phase
• Breaking flavor democracy with symmetric perturbations
• Rotated $\mu$\,--\,$\tau$ Symmetry for One Generic Neutrino Mixing Angle: An analytical Study
• Broken Democracy with Intermediate ${\mathbb{S}}_2\times {\mathbb{S}}_2$ Residual Symmetry and Random Perturbations
• Reactor and Atmospheric Neutrino Mixing Angles' Correlation as a Probe for New Physics
• Lepton mixing patterns from $PS{L}_2(7)$ with a generalised CP symmetry
• A universal form for quark and neutrino mass matrices
• Nearly right unitarity triangle and CP phase in quark and lepton flavor mixings