1998/01/19 by I. S. Sogami, K. Nishida, H. Tanaka +1 · 7 citations
Computer Science · Physics and Astronomy · #Cabibbo–Kobayashi–Maskawa matrix #Eigenvalues and eigenvectors #Mass matrix #Matrix (chemical analysis) #Matrix Theory and Algorithms #Neutrino Physics Research #Order (exchange) #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Quark #hep-ph
paper · pdf · doi:10.1143/ptp.99.281
published in Progress of Theoretical Physics 99(2), 281-291 (Oxford University Press) · Latex, 15 pages, no figures
arxiv created 1998/01/19 · openalex publication_date 1998/02/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
To extract sum rules of CKM matrix elements, eigenvalue problems for quasi-democratic mass matrices are solved in the first order perturbation approximation with respect to small deviations from the democratic limit. Mass spectra of up and down quark sectors and the CKM matrix are shown to have clear and distinctive hierarchical structures. Numerical analysis shows that the absolute values of calculated CKM matrix elements fit the experimental data quite well. The order of the magnitude of the Jarlskog parameter is estimated by the relation .