Approximate Sum Rules of CKM Matrix Elements from Quasi-Democratic Mass Matrices

Abstract

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 $|J|\approx \sqrt{2}(m_c/m_t+m_s/m_b)|V_{us}{|}^2|V_{cb}|/4$.

Latex, 15 pages, no figures

Cited by in corpus (5)

• Special Symmetric Quark Mass Matrices
• A Unified Yukawa Interaction for the Standard Model of Quarks and Leptons
• The Minimal Flavor Structure from Decomposition of the Fermion Mass Matrix
• The common origin of the family mass hierarchy and CP violation from flavour-dependent vacuum for quarks and leptons
• Unified theory for external and internal attributes and symmetries of fundamental fermions