Consistency of perturbed Tribimaximal, Bimaximal and Democratic mixing with Neutrino mixing data

Abstract

We scrutinize corrections to tribimaximal (TBM), bimaximal (BM) and democratic (DC) mixing matrices for explaining recent global fit neutrino mixing data. These corrections are parameterized in terms of small orthogonal rotations (R) with corresponding modified PMNS matrices of the forms \big($R_{ij}^l\cdot U,U\cdot R_{ij}^r,U\cdot R_{ij}^r\cdot R_{kl}^r,R_{ij}^l\cdot R_{kl}^l\cdot U$\big ) where $R_{ij}^{l,r}$ is rotation in ij sector and U is any one of these special matrices. We showed that for perturbative schemes dictated by single rotation, only \big($R_{12}^l\cdot U_{BM},R_{13}^l\cdot U_{BM},U_{TBM}\cdot R_{13}^r$ \big ) can fit the mixing data at $3\sigma$ level. However for $R_{ij}^l\cdot R_{kl}^l\cdot U$ type rotations, only \big ($R_{23}^l\cdot R_{13}^l\cdot U_{DC}$\big ) is successful to fit all neutrino mixing angles within $1\sigma$ range. For $U\cdot R_{ij}^r\cdot R_{kl}^r$ perturbative scheme, only \big($U_{BM}\cdot R_{12}^r\cdot R_{13}^r$,~$U_{DC}\cdot R_{12}^r\cdot R_{23}^r$,~$U_{TBM}\cdot R_{12}^r\cdot R_{13}^r$\big ) are consistent at $1\sigma$ level. The remaining double rotation cases are either excluded at 3$\sigma$ level or successful in producing mixing angles only at $2\sigma -3\sigma$ level. We also updated our previous analysis on PMNS matrices of the form \big($R_{ij}\cdot U\cdot R_{kl}$\big ) with recent mixing data. We showed that the results modifies substantially with fitting accuracy level decreases for all of the permitted cases except \big($R_{12}\cdot U_{BM}\cdot R_{13}$, $R_{23}\cdot U_{TBM}\cdot R_{13}$ and $R_{13}\cdot U_{TBM}\cdot R_{13}$\big ) in this rotation scheme.

41 pages, 102 figures, References Added. arXiv admin note: substantial text overlap with arXiv:1308.3054

References in corpus (16)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• The Unique Horizontal Symmetry of Leptons
• Possible Alternatives to Tri-bimaximal Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Predicting the Values of the Leptonic CP Violation Phases
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• Relatively Large Theta13 from Modification to the Tri-bimaximal, Bimaximal and Democratic Neutrino Mixing Matrices
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• CP violating Tri-bimaximal-Cabibbo mixing
• Democratic Neutrino Theory

Cited by in corpus (10)

• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• Neutrino Phenomenology and Dark matter in an $A_4$ flavour extended B-L model
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Next-to-tribimaximal mixing against CP violation and baryon asymmetry signs
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• Generating CP violation from a modified Fridberg-Lee model
• The special Two zeros texture based on $A_4$ symmetry and perturbation method