Implications of the Quark Mass Hierarchy on Flavor Mixings

Abstract

We stress that the observed pattern of flavor mixings can be partly interpreted by the quark mass hierarchy without the assumption of specific quark mass matrices. The quantitatively proper relations between the Kobayashi-Maskawa matrix elements and quark mass ratios, such as $$|V_{cb}|\approx |V_{ts}|\approx \sqrt{2}(\frac{m_s}{m_b}-\frac{m_c}{m_t})[1+3(\frac{m_s}{m_b}+\frac{m_c}{m_t})],$$ are obtainable from a simple {\it Ansatz} of flavor permutation symmetry breaking at the weak scale. We prescribe the same {\it Ansatz} at the supersymmetric grand unified theory scale, and find that its all low-energy consequences on flavor mixings and $CP$ violation are in good agreement with current experimental data.

Latex 19 pages including 5 PS figures

References in corpus (5)

• The ratios of the light quark masses
• Lepton Mass Hierarchy and Neutrino Oscillations
• B Decays and CP Violation
• Getting at the Quark Mass Matrices
• On Testing Unitarity of the Quark Mixing Matrix

Cited by in corpus (35)

• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Flavor structures of charged fermions and massive neutrinos
• Four-Zero Texture of Hermitian Quark Mass Matrices and Current Experimental Tests
• The Light Quark Sector, CP Violation, and the Unitarity Triangle
• 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
• Complete Parameter Space of Quark Mass Matrices with Four Texture Zeros
• Texture 4 zero Fritzsch-like lepton mass matrices
• On the four-zero texture of quark mass matrices and its stability
• Unique Mass Texture for Quarks and Leptons
• Hierarchy and Anarchy in Quark Mass Matrices, or Can Hierarchy Tolerate Anarchy?
• The CP violating phase δ_{13} and the quark mixing angles θ_{13}, θ_{23} and θ_{12} from flavour permutational symmetry breaking
• On the Koide-like Relations for the Running Masses of Charged Leptons, Neutrinos and Quarks
• The double mass hierarchy pattern: simultaneously understanding quark and lepton mixing
• Interplay between $\mu$-$\tau$ reflection symmetry, four-zero texture and universal texture
• Bounds on \sin 2βand |V_{ub}/V_{cb}| from the Light-Quark Triangle
• Correlations between quark mass and flavor mixing hierarchies
• Reconstruction of Quark Mass Matrices with Weak Basis Texture Zeroes from Experimental Input
• The breaking of flavor democracy in the quark sector
• Large Leptonic Dirac CP Phase from Broken Democracy with Random Perturbations
• Patterns in the Fermion Mixing Matrix, a bottom-up approach
• Model-independent access to the structure of quark flavor mixing
• Brane world unification of quark and lepton masses and its implication for the masses of the neutrinos
• Hierarchy spectrum of SM fermions: from top quark to electron neutrino
• Neutrino Masses and Leptonic CP Violation
• Broken $S_{3\mathrm{L}}^{}\times S_{3\mathrm{R}}^{}$ Flavor Symmetry and Leptonic CP Violation
• Analysis of right-handed Majorana neutrino mass in an $SU(4)\times SU(2{)}_L\times SU(2{)}_R$ Pati--Salam model with democratic texture
• Diagonal reflection symmetries and universal four-zero texture
• Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories
• Breaking flavor democracy with symmetric perturbations
• Flavored Gauge-Mediated Supersymmetry Breaking Models with Discrete Non-Abelian Symmetries
• The mass ratios parametrization
• Broken Democracy with Intermediate ${\mathbb{S}}_2\times {\mathbb{S}}_2$ Residual Symmetry and Random Perturbations
• Generating the Cabibbo Angle in Flavored Gauge Mediation Models with Discrete Non-Abelian Symmetries
• Fermion masses and mixing in SO(10) GUT with a universal two-zero texture