On self-complementarity relations of neutrino mixing

Abstract

With the latest results of a large mixing angle ${\theta }_{13}$ for neutrinos by the T2K, MINOS and Double Chooz experiments, we find that the self-complementarity (SC) relations agree with the data in some angle-phase parametrizations of the lepton mixing matrix. There are three kinds of self-complementarity relations: (1) ${\vartheta }_i+{\vartheta }_j={\vartheta }_k=45^{\circ }$; (2) ${\vartheta }_i+{\vartheta }_j={\vartheta }_k$; (3) ${\vartheta }_i+{\vartheta }_j=45^{\circ }$ (where $i$, $j$, $k$ denote the mixing angles in the angle-phase parametrizations). We present a detailed study on the self-complementarity relations in nine different angle-phase parametrizations, and also examine the explicit expressions in reparametrization-invariant form, as well as their deviations from global fit. These self-complementarity relations may lead to new perspective on the mixing pattern of neutrinos.

11 pages, no figure, 3 tables. Version for publication in PLB

References in corpus (33)

• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Observation of electron-antineutrino disappearance at Daya Bay
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Precision measurement of the 7Be solar neutrino interaction rate in Borexino
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Bi-Maximal Mixing of Three Neutrinos
• Some Simple Mixing and Mass Matrices for Neutrinos
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• Evidence of theta(13)>0 from global neutrino data analysis
• Neutrino Mixing and Quark-Lepton Complementarity
• The Solar Neutrino Puzzle: An Oscillation Solution with Maximal Neutrino Mixing
• Relation between the neutrino and quark mixing angles and grand unification
• A Redetermination of the Neutrino Mass-Squared Difference in Tri-Maximal Mixing with Terrestrial Matter Effects
• Neutrinos on Earth and in the Heavens
• On the Parametrization of Flavor Mixing in the Standard Model
• L/E-Flatness of the Electron-Like Event Ratio in Super-Kamiokande and a Degeneracy in Neutrino Masses
• Search for Differences in Oscillation Parameters for Atmospheric Neutrinos and Antineutrinos at Super-Kamiokande
• Parametrization of Neutrino Mixing Matrix in Tri-bimaximal Mixing Pattern
• A study of the scenario with nearly degenerate Majorana neutrinos
• RENO: An Experiment for Neutrino Oscillation Parameter theta_13 Using Reactor Neutrinos at Yonggwang
• Unified Parametrization of Quark and Lepton Mixing Matrices
• Re-evaluation of neutrino mixing pattern according to latest T2K result
• A New Parametrization of the Neutrino Mixing Matrix
• A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}
• Dependence of the Quark-Lepton Complementarity on Parametrizations of the CKM and PMNS Matrices
• Comment on Reparametrization Invariance of Quark-Lepton Complementarity
• NOvA: Present and Future
• Double Chooz: Searching for theta13 with reactor neutrinos

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• Exponential parameterization of the neutrino mixing matrix - comparative analysis with different data sets and CP violation
• An $S_4$ model inspired from self-complementary neutrino mixing
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