Non-Hermitian Perturbations to the Fritzsch Textures of Lepton and Quark Mass Matrices

Abstract

We show that non-Hermitian and nearest-neighbor-interacting perturbations to the Fritzsch textures of lepton and quark mass matrices can make both of them fit current experimental data very well. In particular, we obtain θ_{23} \simeq 45^\circ for the atmospheric neutrino mixing angle and predict θ_{13} \simeq 3^\circ to 6^\circ for the smallest neutrino mixing angle when the perturbations in the lepton sector are at the 20% level. The same level of perturbations is required in the quark sector, where the Jarlskog invariant of CP violation is about 3.7 \times 10^{-5}. In comparison, the strength of leptonic CP violation is possible to reach about 1.5 \times 10^{-2} in neutrino oscillations.

arXiv comment14 pages, 4 figures. More discussions added. Accepted for publication in PLB

References in corpus (28)

• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Updated Values of Running Quark and Lepton Masses
• A Simple Grand Unification View of Neutrino Mixing and Fermion Mass Matrices
• Four-Zero Texture of Hermitian Quark Mass Matrices and Current Experimental Tests
• A Symmetry Pattern of Maximal CP-Violation and a Determination of the Unitarity Triangle
• The Light Quark Sector, CP Violation, and the Unitarity Triangle
• Grand unified textures for neutrino and quark mixings
• A Systematic Study of Neutrino Mixing and CP Violation from Lepton Mass Matrices with Six Texture Zeros
• Hierarchical Neutrino Masses and Large Mixing Angles from the Fritzsch Texture of Lepton Mass Matrices
• Quark and Lepton Flavor Mixings in the SU(5) Grand Unification Theory
• Nearest-Neighbour Interaction from an Abelian Symmetry and Deviations from Hermiticity
• Predictions from the Fritzsch-Type Lepton Mass Matrices
• Flavor Violation in Supersymmetric Q_6 Model
• Implications of Fritzsch-like lepton mass matrices
• Isomeric Lepton Mass Matrices and Bi-large Neutrino Mixing
• Exact Parametrization of The Mass Matrices and The KM Matrix
• Non-Factorizable Phases, Yukawa Textures and the Size of sin (2 beta)
• Getting at the Quark Mass Matrices
• Yukawa Textures, New Physics and Nondecoupling
• Zero Texture Model and SO(10) GUT
• Reconstruction of quark mass matrices in the NNI form from the experimental data
• The Unitarity Triangle and Quark Mass Matrices on the NNI Basis
• NNI-Form Quark Mass Matrix Expressed by the Observable Quantities
• Patterns in the Fermion Mixing Matrix, a bottom-up approach
• NNI Quark-Lepton Mass Matrices in SUSY SU(5) GUT
• On the Fukugita-Tanimoto-Yanagida Ansatz with Partially Non-degenerate Right-handed Majorana Neutrinos
• Sweeping the Space of Admissible Quark Mass Matrices
• Calculability of Quark Mixing Parameters from General Nearest Neighbor Interaction Texture Quark Mass Matrices

Cited by in corpus (14)

• Flavor structures of charged fermions and massive neutrinos
• Flavor mixings and textures of the fermion mass matrices
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture
• Possible textures of the fermion mass matrices
• B-L Model with ${\mathbf{S}}_3$ Symmetry: Nearest Neighbor Interaction Textures and Broken $\mu \leftrightarrow \tau$ Symmetry
• Three generations of Higgses and the cyclic groups
• Neutrino masses generation in a Z_4 model
• Quark Mass Hierarchy and Flavor Mixing Puzzles
• Flavored axion in the UV-complete Froggatt-Nielsen models
• Nearest-Neighbour-Interactions from a minimal discrete flavour symmetry within SU(5) Grand Unification
• Z_4 flavor model in Randall-Sundrum model 1
• Theoretical Overview on the Flavor Issues of Massive Neutrinos
• A comparative study between the modified Fritzsch and nearest neighbor interaction textures