Nearest-Neighbour Interaction from an Abelian Symmetry and Deviations from Hermiticity

Abstract

We show that Nearest-Neighbour Interaction (NNI) textures for the quark mass matrices can be obtained through the introduction of an Abelian flavour symmetry. The minimal realisation requires a Z_4 symmetry in the context of a two Higgs doublet model. It is further shown that the NNI textures can be in agreement with all present experimental data on quark masses and mixings, provided one allows for deviations of Hermiticity in the quark mass matrices at the 20% level.

arXiv comment11 pages, 1 figure; references and minor corrections added

References in corpus (36)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• The four-loop beta-function in Quantum Chromodynamics
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• Updated Values of Running Quark and Lepton Masses
• Updated Estimate of Running Quark Masses
• Averages of b-hadron and c-hadron Properties at the End of 2007
• QCD Corrections to the $e^{+}{e}^{-}$ Cross Section and the $Z$ Boson Decay Rate
• Flavor Symmetries and the Description of Flavor Mixing
• First Evidence of New Physics in b <--> s Transitions
• A Simple Grand Unification View of Neutrino Mixing and Fermion Mass Matrices
• Dihedral Families of Quarks, Leptons and Higgs Bosons
• Texture Zeros and Weak Basis Transformations
• QCD Matching Conditions at Thresholds
• Weak Basis Transformations and Texture Zeros in the Leptonic Sector
• New Physics and Evidence for a Complex CKM
• Grand unified textures for neutrino and quark mixings
• Quark and Lepton Flavor Mixings in the SU(5) Grand Unification Theory
• Flavor Violation in Supersymmetric Q_6 Model
• Exact Parametrization of The Mass Matrices and The KM Matrix
• CP violation and limits on New Physics including recent $B_s$ measurements
• Non-Factorizable Phases, Yukawa Textures and the Size of sin (2 beta)
• Yukawa Textures, New Physics and Nondecoupling
• CKM global fit and constraints on New Physics in the B meson mixing
• Zero Texture Model and SO(10) GUT
• Reconstruction of Quark Mass Matrices with Weak Basis Texture Zeroes from Experimental Input
• 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
• Asymmetry and Minimality of Quark Mass Matrices
• Sweeping the Space of Admissible Quark Mass Matrices
• Calculability of Quark Mixing Parameters from General Nearest Neighbor Interaction Texture Quark Mass Matrices
• A Review of the Magnitudes of the CKM Matrix Elements
• The CKM Matrix from Lattice QCD

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• A 3-3-1 model with right-handed neutrinos based on the $\Delta \left(27\right)$ family symmetry
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• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• Abelian symmetries in the two-Higgs-doublet model with fermions
• Fermion and scalar phenomenology of a 2-Higgs doublet model with $S_3$
• Confronting predictive texture zeros in lepton mass matrices with current data
• Abelian symmetries of the N-Higgs-doublet model with Yukawa interactions
• An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture
• Three generations of Higgses and the cyclic groups
• Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing
• Neutrino masses generation in a Z_4 model
• Adjoint $SU(5)$ GUT model with $T_7$ flavor symmetry
• Super Flavorsymmetry with Multiple Higgs Doublets
• Non-Hermitian Perturbations to the Fritzsch Textures of Lepton and Quark Mass Matrices
• A novel Randall-Sundrum model with $S_3$ flavor symmetry
• Invariants and Flavour in the General Two-Higgs Doublet Model
• The double mass hierarchy pattern: simultaneously understanding quark and lepton mixing
• Viable textures for the fermion sector
• Flavored axion in the UV-complete Froggatt-Nielsen models
• The minimal adjoint-SU(5)xZ_4 GUT model
• Hierarchy spectrum of SM fermions: from top quark to electron neutrino
• Invariants, Alignment and the Pattern of Fermion Masses and Mixing
• Nearest-Neighbour-Interactions from a minimal discrete flavour symmetry within SU(5) Grand Unification
• Z_4 flavor model in Randall-Sundrum model 1
• More about unphysical zeroes in quark mass matrices
• Dipole moments of charged leptons in the THDM-III with Textures
• Off-diagonal terms in Yukawa textures of the Type-III 2-Higgs doublet model and light charged Higgs boson phenomenology
• Texture zeros and hierarchical masses from flavour (mis)alignment
• Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories
• Symmetries for the 4HDM. II. Extensions by rephasing groups
• $Q_6$ As The Flavour Symmetry in a Non-minimal SUSY $SU(5)$ Model
• Phenomenology of the Partially Aligned 2HDM with leptonic decay of mesons
• The mass ratios parametrization
• A comparative study between the modified Fritzsch and nearest neighbor interaction textures
• Invariants and Flavour in the General Two Higgs Doublet Model (Moriond QCD2013)