Examination of pairs in neutrino mixing matrix

Abstract

We exam the pairs of neutrino mixing matrix and suggest pairs that can be used in the construction of new mixing patterns, with "pair" denoting the equality of the modulus of a pair of matrix elements. The results show that the tri-maximal mixing in ${\nu }_2$ and the $\mu$-$\tau$ interchange symmetry are good choices under current experimental results. The two cases of bi-pair mixing pattern depend on the mass hierarchy of neutrinos. We also derive constraints on the CP-phase by the pairs. The results are compatible with the maximal CP-violation in most cases that are both self-consistent and consistent with experimental results.

16 latex pages, 3 figures. Final version published in PRD

References in corpus (13)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Observation of Electron Neutrino Appearance in a Muon Neutrino Beam
• CP and Discrete Flavour Symmetries
• S_4 Flavored CP Symmetry for Neutrinos
• How good is μ-τsymmetry after results on non-zero θ_{13}?
• A Supersymmetric Contribution to the Neutrino Mass Matrix and Breaking of mu-tau Symmetry
• Two Categories of Approximately mu-tau Symmetric Neutrino Mass Textures
• Quark-lepton complementarity and self-complementarity in different schemes
• On self-complementarity relations of neutrino mixing
• Bi-pair Neutrino Mixing
• New mixing pattern for neutrinos

Cited by in corpus (1)

• Lepton mixing patterns from combinations of elementary correlations