On the four-zero texture of quark mass matrices and its stability

Abstract

We carry out a new study of quark mass matrices $M_{\mathrm{u}}^{}$ (up-type) and $M_{\mathrm{d}}^{}$ (down-type) which are Hermitian and have four zero entries, and find a new part of the parameter space which was missed in the previous works. We identify two more specific four-zero patterns of $M_{\mathrm{u}}^{}$ and $M_{\mathrm{d}}^{}$ with fewer free parameters, and present two toy flavor-symmetry models which can help realize such special and interesting quark flavor structures. We also show that the texture zeros of $M_{\mathrm{u}}^{}$ and $M_{\mathrm{d}}^{}$ are essentially stable against the evolution of energy scales in an analytical way by using the one-loop renormalization-group equations.

arXiv comment33 pages, 4 figures, minor comments added, version to appear in Nucl. Phys. B

References in corpus (57)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Big-Bang Nucleosynthesis
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Non-Abelian Discrete Symmetries in Particle Physics
• Higgs mass implications on the stability of the electroweak vacuum
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Updated Values of Running Quark and Lepton Masses
• The Strong CP Problem and Axions
• Large Leptonic Flavor Mixing and the Mass Spectrum of Leptons
• Atmospheric Neutrino Oscillation and a Phenomenological Lepton Mass Matrix
• Reconciling Supersymmetry and Left-Right Symmetry
• Flavor Symmetries and the Description of Flavor Mixing
• No Parity Violation without R Parity Violation
• Impacts of the Higgs mass on vacuum stability, running fermion masses and two-body Higgs decays
• Maximal Neutrino Mixing and Maximal CP Violation
• 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
• On the generality of certain predictions for quark mixing
• Precision test of a Fermion mass texture
• On the Parametrization of Flavor Mixing in the Standard Model
• Texture Zeros and Weak Basis Transformations
• Lepton and Quark Mass Matrices
• A complete survey of texture zeros in the lepton mass matrices
• Upper bound on the $W_R$ mass in automatically R-conserving SUSY models
• SO(10) GUT and Quark-Lepton Mass Matrices
• New Class of Quark Mass Matrix and Calculability of Flavor Mixing Matrix
• The breaking of the flavour permutational symmetry: Mass textures and the CKM matrix
• The breaking of the flavour permutational symmetry: Mass textures and the CKM matrix
• Solving the Strong CP and the SUSY Phase Problems with Parity Symmetry
• Complete Parameter Space of Quark Mass Matrices with Four Texture Zeros
• The Breaking of Subnuclear Democracy as the Origin of Flavour Mixing
• Minimal Mixing of Quarks and Leptons in the SU(3) Theory of Flavour
• Where does Flavour Mixing come from?
• Different kind of textures of Yukawa coupling matrices in the two Higgs doublet model type III
• Implications of the Quark Mass Hierarchy on Flavor Mixings
• A partial $\mu$-$\tau$ symmetry and its prediction for leptonic CP violation
• Right Unitarity Triangles, Stable CP-violating Phases and Approximate Quark-Lepton Complementarity
• Possible textures of the fermion mass matrices
• Fritzsch-Xing mass matrices, $V_{td}$ and CP Violating phase $\delta$
• Assignments of Universal Texture Components for Quark and Lepton Mass Matrices
• A String-inspired Ansatz for Quark Masses and Mixing
• Quark Mass Matrices in Superstring Models
• Hierarchy and Anarchy in Quark Mass Matrices, or Can Hierarchy Tolerate Anarchy?
• Phenomenological Analysis of Lepton and Quark Mass Matrices
• Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking
• Exploring the parameter space of texture 4 zero quark mass matrices
• Hermitian quark mass matrices with four texture zeros
• Quark Mass Hierarchy and Flavor Mixing Puzzles
• Bounds on \sin 2βand |V_{ub}/V_{cb}| from the Light-Quark Triangle
• Texture Zeros and WB Transformations in the Quark Sector of the Standard Model
• Implications of CP asymmetry parameter sin2beta on structural features of texture specific mass matrices
• Texture Zeros for the Standard Model Quark Mass Matrices
• Minimal Weak Basis Textures and Quark Mixing Data
• Investigating non-Fritzsch like texture specific quark mass matrices
• Radiative Corrections to the CKM Unitarity Triangles
• New textures for the lepton mass matrices

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• More about quark Yukawa textures from selection rules without group actions
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• Interplay between $\mu$-$\tau$ reflection symmetry, four-zero texture and universal texture
• Lepton mass textures from non-invertible multiplication rules
• Correlations between quark mass and flavor mixing hierarchies
• Occam's Razor in Quark Mass Matrices
• The breaking of flavor democracy in the quark sector
• Evaluation of the Majorana Phases of a General Majorana Neutrino Mass Matrix: Testability of hierarchical Flavour Models
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Almost exact diagonal reflection symmetries and three-zero texture
• Exploring the predictability of symmetric texture zeros in quark mass matrices
• Minimizing the phase structure of quark mass matrices
• Diagonal reflection symmetries and universal four-zero texture
• CKM mixings from mass matrices with five texture zeros
• Sign of CP Violating Phase in Quarks and Leptons
• A minimal axion model for mass matrices with five texture-zeros
• Quark Mass Matrices, textures and CKM precision measurements
• Minimal structure for neutrino mass matrix
• Fermion masses and mixing in SO(10) GUT with a universal two-zero texture
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture
• The Minimal Supersymmetric Standard Model with Non-Invertible Selection Rules