Is the tri-bimaximal mixing accidental?

Abstract

The Tri-bimaximal (TBM) mixing is not accidental if structures of the corresponding leptonic mass matrices follow immediately from certain (residual or broken) flavor symmetry. We develop a simple formalism which allows one to analyze effects of deviations of the lepton mixing from TBM on structure of the neutrino mass matrix and on underlying flavor symmetry. We show that possible deviations from the TBM mixing can lead to strong modifications of the mass matrix and strong violation of the TBM mass relations. As a result, the mass matrix may have an "anarchical" structure with random values of elements or it may have some symmetry which differs from the TBM symmetry. Interesting examples include matrices with texture zeros, matrices with certain "flavor alignment" as well as hierarchical matrices with a two-component structure, where the dominant and sub-dominant contributions have different symmetries. This opens up new approaches to understand the lepton mixing.

40 pages, 2 eps figures. Mass matrices are recalculated according to new global fit of oscillation data. One new table, references and comments are added. References are added

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Cited by in corpus (21)

• A review of mu-tau flavor symmetry in neutrino physics
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Breaking Tri-bimaximal Mixing and Large ${\theta }_{13}$
• Common Origin of mu-tau and CP Breaking in Neutrino Seesaw, Baryon Asymmetry, and Hidden Flavor Symmetry
• How good is μ-τsymmetry after results on non-zero θ_{13}?
• Discrete symmetries and models of flavor mixing
• A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}
• Fermion masses and mixing in $\Delta (27)$ flavour model
• Neutrino Masses and Deviation from Tri-bimaximal mixing in Δ(27) model with Inverse Seesaw Mechanism
• Maximal atmospheric neutrino mixing from texture zeros and quasi-degenerate neutrino masses
• Tribimaximal mixing in neutrino mass matrices with texture zeros or vanishing minors
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Dimension-five effective operators in electro-weak SU(4)xU(1) gauge models
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry
• Mass Mixing, the Fourth Generation, and the Kinematic Higgs Mechanism
• The Spectrum of the 4-Generation Dirac-Kaehler Extension of the SM
• Type II seesaw supersymmetric neutrino model for ${\theta }_{13}\ne 0$
• Knitting neutrino mass textures with or without Tri-Bi maximal mixing
• The mixing angle as a function of neutrino mass ratio
• Models for neutrino mass with discrete symmetries