Correlations between quark mass and flavor mixing hierarchies
Harald Fritzsch, Zhi‐zhong Xing, Di Zhang
Abstract
We calculate the quark flavor mixing matrix V based on the Hermitian quark mass matrices Mu and Md with vanishing (1,1), (1,3) and (3,1) entries. The popular leading-order prediction |Vub/Vcb|≃mu/mc is significantly modified, and the result agrees with the current experimental value. We find that behind the strong mass hierarchy of up- or down-type quarks is the weak texture hierarchy of Mu or Md characterized by an approximate seesaw-like relation among its (2,2), (2,3) and (3,3) elements.
Topics & Concepts
Seesaw molecular geometryQuarkParticle physicsPhysicsMixing (physics)Mass matrixFlavorHermitian matrixHierarchyMatrix (chemical analysis)Order (exchange)Texture (cosmology)Cabibbo–Kobayashi–Maskawa matrixNeutrinoComputer scienceQuantum mechanicsChemistryBiochemistryEconomicsImage (mathematics)FinanceMarket economyArtificial intelligenceChromatographyParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsNeutrino Physics Research