A Systematic Study of Neutrino Mixing and CP Violation from Lepton Mass Matrices with Six Texture Zeros

Abstract

We present a systematic study of 400 combinations of the charged lepton and neutrino mass matrices with six vanishing entries or texture zeros. Only 24 of them, which can be classified into a few distinct categories, are found to be compatible with current neutrino oscillation data at the $3\sigma$ level. A peculiar feature of the lepton mass matrices in each category is that they have the same phenomenological consequences. Taking account of a simple seesaw scenario for six parallel patterns of the charged lepton and Dirac neutrino mass matrices with six zeros, we show that it is possible to fit the experimental data at or below the $2\sigma$ level. In particular, the maximal atmospheric neutrino mixing can be reconciled with a strong neutrino mass hierarchy in the seesaw case. Numerical predictions are also obtained for the neutrino mass spectrum, flavor mixing angles, CP-violating phases and effective masses of the tritium beta decay and the neutrinoless double beta decay.

35 pages, 15 figures, minor changes

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• μ-τSymmetry and Maximal CP Violation
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• Multiple seesaw mechanisms of neutrino masses at the TeV scale
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• Fritzsch neutrino mass matrix from S3 symmetry
• Possible Deviation from the Tri-bimaximal Neutrino Mixing in a Seesaw Model
• A New Type of Complex Neutrino Mass Texture and mu-tau Symmetry
• Stability of Texture Zeros under Radiative Corrections in See-Saw Models
• Implications of Fritzsch-like lepton mass matrices
• Texture specific mass matrices with Dirac neutrinos and their implications
• Abelian family symmetries and the simplest models that give theta13=0 in the neutrino mixing matrix
• Possible textures of the fermion mass matrices
• Determination of Neutrino Mass Texture for Maximal CP Violation
• Hybrid textures in minimal seesaw mass matrices
• Minimal Textures in Seesaw Mass Matrices and their low and high Energy Phenomenology
• Lepton Mass Hierarchy and Neutrino Mixing
• Neutrino mass ordering and μ-τreflection symmetry breaking
• Non-Hermitian Perturbations to the Fritzsch Textures of Lepton and Quark Mass Matrices
• General Property of Neutrino Mass Matrix and CP Violation
• Majorana neutrino mass matrices with three texture zeros and the sterile neutrino
• Parallel Texture Structures with Cofactor Zeros in Lepton Sector
• Neutrino Mixing Angles from Texture Zeros of the Lepton Mass Matrices
• Neutrino Mass Textures with Maximal CP Violation
• Investigating non-Fritzsch like texture specific quark mass matrices
• Implications of theta_13 on Fritzsch-like lepton mass matrices
• Predicting leptonic CP violation in the light of Daya Bay result
• On the Fukugita-Tanimoto-Yanagida Ansatz with Partially Non-degenerate Right-handed Majorana Neutrinos
• CP violating phase from minimal texture neutrino mass matrix: Test of the phase relevant to leptogenesis
• Theoretical Overview on the Flavor Issues of Massive Neutrinos
• Five texture zeros in the lepton sector and neutrino oscillations at DUNE
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Leptonic CP Violation Phases, Quark-Lepton Similarity and Seesaw Mechanism
• Leptonic mixing angle ${\theta }_{13}$ and ruling out of minimal texture for Dirac neutrinos
• Investigating texture six zero lepton mass matrices
• Inverted neutrino mass hierarchies from U(1) symmetries
• Leptogenesis in a seesaw model with Fritzsch type lepton mass matrices
• A new class of invariants in the lepton sector