Corrections for tribimaximal, bimaximal and democratic neutrino mixing matrices

Abstract

In this work we analyze the corrections to tribimaximal (TBM), bimaximal (BM) and democratic (DC) mixing matrices for explaining large reactor mixing angle ${\theta }_{13}$ and checking the consistency with other neutrino mixing angles. The corrections are parameterized in terms of small orthogonal rotations (R) with corresponding modified PMNS matrix of the form $R_{ij}\cdot U\cdot R_{kl}$ where $R_{ij}$ is rotation in ij sector and U is any one of these special matrices. We showed the rotations $R_{13}\cdot U\cdot R_{23}$, $R_{12}\cdot U\cdot R_{13}$ for BM and $R_{13}\cdot U\cdot R_{13}$ for TBM perturbative case successfully fit all neutrino mixing angles within $1\sigma$ range. The perturbed PMNS matrix $R_{12}\cdot U\cdot R_{13}$ for DC, TBM and $R_{23}\cdot U\cdot R_{23}$ for TBM case is successful in producing mixing angles at 2$\sigma$ level. The other rotation schemes are either excluded or successful in producing mixing angles at $3\sigma$ level.

25 pages, 56 figures; v2: new rotation cases with corresponding discussion and figures included, new references added, accepted for publication in JHEP

References in corpus (11)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Global fit to three neutrino mixing: critical look at present precision
• Possible Alternatives to Tri-bimaximal Mixing
• The Unique Horizontal Symmetry of Leptons
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Deviations from Tri-Bimaximal Neutrino Mixing Using Type II Seesaw
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• CP violating Tri-bimaximal-Cabibbo mixing

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