1998/07/31 by J. I. Silva-Marcos · 11 citations
Chemistry · Mathematics · Physics and Astronomy · #Cabibbo–Kobayashi–Maskawa matrix #Chemistry #Flavour #Geometry #Mathematics #Matrix (chemical analysis) #Mixing (physics) #Neutrino Physics Research #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Symmetry (geometry) #Yukawa potential #hep-ph
paper · pdf · doi:10.1016/s0370-2693(98)01345-8
published in Physics Letters B 443(1-4), 276-284 (Elsevier BV) · 13 pages, LaTex
arxiv created 1998/10/20 · openalex publication_date 1998/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We give a procedure to construct a special class of symmetric quark mass matrices near the democratic limit of equal Yukawa couplings for each sector. It is shown that within appropriate weak-bases, the requirements of symmetry and arg(det[M])=0 are very strong conditions, that necessarily lead to a Cabibbo angle given by |Vus|=Sqrt[md/ms], and to |Vcb|~ms/mb, in first order. In addition, we prove that the recently classified ansatze, which also reproduce these mixing relations, and which were based on the hypothesis of the Universal Strength for Yukawa couplings, where all Yukawa couplings have equal moduli while the flavour dependence is only in their phases, are, in fact, particular cases of the generalized symmetric quark mass matrix ansatze we construct here. In an excellent numerical example, the experimental values on all quark mixings and masses are accommodated, and the CP violation phase parameter is shown to be crucially dependent on the values of mu and Vus.