Quark mass matrices inspired by a numerical relation

Abstract

In 1981, Yoshio Koide noticed that the square root values of the charged lepton masses satisfy the relation \[ Q=\frac{m_e+m_μ+m_τ}{(\sqrt{m_e}+\sqrt{m_μ}+\sqrt{m_τ})^2} \approx \frac{2}{3} \] Inspired by this relation, we introduce tentative mass matrices, using numerical values, and find matrices that display an underlying democratic texture.

References in corpus (105)

• Particle Dark Matter: Evidence, Candidates and Constraints
• Light-Front Holographic QCD and Emerging Confinement
• Final model independent result of DAMA/LIBRA-phase1
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• The QCD Axion and Moduli Stabilisation
• Light-Front Holography: A First Approximation to QCD
• Early-Universe Simulations of the Cosmological Axion
• Dark Matter particles in the galactic halo: results and implications from DAMA/NaI
• Minimal Walking Technicolor: Set Up for Collider Physics
• Towards Working Technicolor: Effective Theories and Dark Matter
• Black holes and the multiverse
• Systematic Scale-Setting to All Orders: The Principle of Maximum Conformality and Commensurate Scale Relations
• Composite dark matter from a model with composite Higgs boson
• Universality of Generalized Parton Distributions in Light-Front Holographic QCD
• Setting the Renormalization Scale in QCD: The Principle of Maximum Conformality
• Accelerating early massive galaxy formation with primordial black holes
• Big Bang Nucleosynthesis with Long Lived Charged Massive Particles
• Strong Interactive Massive Particles from a Strong Coupled Theory
• Inhomogeneous baryogenesis, cosmic antimatter, and dark matter
• Threefold Complementary Approach to Holographic QCD
• Fundamental Particle Structure in the Cosmological Dark Matter
• Baryon Spectrum from Superconformal Quantum Mechanics and its Light-Front Holographic Embedding
• Superconformal Baryon-Meson Symmetry and Light-Front Holographic QCD
• Kinematical and Dynamical Aspects of Higher-Spin Bound-State Equations in Holographic QCD
• Looking at the NANOGrav Signal Through the Anthropic Window of Axion-Like Particles
• Systematics of nucleon density distributions and neutron skin of nuclei
• Inelastic Dark Matter and DAMA/LIBRA: An Experimentum Crucis
• Model independent result on possible diurnal effect in DAMA/LIBRA-phase1
• Supersymmetry Across the Light and Heavy-Light Hadronic Spectrum
• The NSVZ beta-function in supersymmetric theories with different regularizations and renormalization prescriptions
• Connecting the Hadron Mass Scale to the Fundamental Mass Scale of Quantum Chromodynamics
• Axion Dark Matter in the Time of Primordial Black Holes
• QCD Running Couplings and Effective Charges
• Antimatter and antistars in the universe and in the Galaxy
• Investigating Earth shadowing effect with DAMA/LIBRA-phase1
• Earth as a transducer for dark-photon dark-matter detection
• Hadronic Superpartners from Superconformal and Supersymmetric Algebra
• Supersymmetry Across the Light and Heavy-Light Hadronic Spectrum II
• Footprints of Axion-Like Particle in Pulsar Timing Array Data and James Webb Space Telescope Observations
• On the origin of families of fermions and their mass matrices
• Unified Description of Polarized and Unpolarized Quark Distributions in the Proton
• New physics of strong interaction and Dark Universe
• Friction on ALP domain walls and gravitational waves
• Sphalerons in composite and non-standard Higgs models
• An induced annual modulation signature in COSINE-100 data by DAMA/LIBRA's analysis method
• Baryon properties from light-front holographic QCD
• Measurements of ZnWO${}_4$ anisotropic response to nuclear recoils for the ADAMO project
• PMC${}_{\infty }$: Infinite-Order Scale-Setting using the Principle of Maximum Conformality, A Remarkably Efficient Method for Eliminating Renormalization Scale Ambiguities for Perturbative QCD
• A Hunt for Magnetic Signatures of Hidden-Photon and Axion Dark Matter in the Wilderness
• The Light-Front Schrödinger Equation and Determination of the Perturbative QCD Scale from Color Confinement
• Novel Method for the Precise Determination of the QCD Running Coupling from Event Shapes Distributions in Electron-Positron Annihilation
• Post-inflationary axions: a minimal target for axion haloscopes
• Double charged heavy constituents of dark atoms and superheavy nuclear objects
• Spherical Domain Wall Collapse in a Dust Universe
• Neutrino Mass and Mixing in the Seesaw Playground
• Gravitational focusing effects on streaming dark matter as a new detection concept
• Massless and massive representations in the spinor technique
• Searching for Magnetic Monopoles with the Earth's Magnetic Field
• Light-Front Holography and Superconformal Quantum Mechanics: A New Approach to Hadron Structure and Color Confinement
• Composite Dark Matter and its Charged Constituents
• Stable quarks of the 4th family?
• Curl up with a good $\mathbf{B}$: Detecting ultralight dark matter with differential magnetometry
• Measuring the Energy Scale of Inflation with Large Scale Structures
• On the origin of the rhythmic Sun's radius variation
• Discrete symmetries in the Kaluza-Klein-like theories
• Can we predict the fourth family masses for quarks and leptons?
• Composite dark matter from 4th generation
• Remarkable Relation from Minimal Imaginary Action Model
• Massive Primordial Black Holes in Contemporary and Young Universe (old predictions and new data)
• How does Clifford algebra show the way to the second quantized fermions with unified spins, charges and families, and with vector and scalar gauge fields beyond the {\it standard model}
• Light-Front Holography and Supersymmetric Conformal Algebra: A Novel Approach to Hadron Spectroscopy, Structure, and Dynamics
• A remark on the Koide relation for quarks
• Numerical simulation of dark atom interaction with nuclei
• Search for Double Charged Particles as Direct Test for Dark Atom Constituents
• Radiative Corrections, Divergences, Regularization, Renormalization, Renormalization Group and All That in Examples in Quantum Field Theory
• Complex Action Support from Coincidences of Couplings
• Searches for Particle Dark Matter: An Introduction
• New way of second quantized theory of fermions with either Clifford or Grassmann coordinates and spin-charge-family theory
• Anihelium flux from antimatter globular cluster
• The spin-charge-family theory is explaining the origin of families, of the Higgs and the Yukawa couplings
• Project of Virtual Institute of Astroparticle Physics
• How Clifford algebra can help understand second quantization of fermion and boson fields
• Novel String Field Theory and Bound State, Projective Line, and sharply 3-transitive group
• What Physics Does The Charged Lepton Mass Relation Tell Us?
• How Clifford algebra helps understand second quantized quarks and leptons and corresponding vector and scalar boson fields, {\it opening a new step beyond the standard model}
• Clifford odd and even objects offer the description of the internal space of fermions and bosons, respectively, opening new insight into the second quantization of fields
• Deriving Locality, Gravity as Spontaneous Breaking of Diffeomorphism Symmetry
• Numerical simulation of Bohr-like and Thomson-like dark atoms with nuclei
• Researching of magnetic cutoff for local sources of charged particles in the halo of the Galaxy
• Atmospheric Temperature anomalies as manifestation of the dark Universe
• Seeking a Game in which the standard model Group shall Win
• Virtual Institute of Astroparticle physics - science and education online
• VIA Discussions at XIV Bled Workshop
• A trial to understand the supersymmetry relations through extension of the second quantized fermion and boson fields, either to strings or to odd dimensional spaces
• Reality from maximizing overlap in the future-included theories
• Approximate SU(5), Fine Structure Constants
• Minimal SU(5) theory on the edge: the importance of being effective
• Higher $\epsilon$-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group
• Domain Walls and Hubble Constant Tension
• Scheme-independent determination of the QCD running coupling at all scales from jet observables using the principle of maximum conformality and infinite-order scale setting
• Can the "basis vectors", describing the internal spaces of fermion and boson fields with the Clifford odd (for fermion) and Clifford even (for boson) objects, explain interactions among fields, with gravitons included?
• String Invention, Viable 3-3-1 Model, Dark Matter Black Holes
• Remarkable Scale Relation, Approximate SU(5), Fluctuating Lattice
• Introduction to String Theory
• Quantum-mechanical numerical model of interaction between dark atom and nucleus of substance