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

I. S. Sogami | Zendy; Kitarō Nishida | Zendy; Hajime Tanaka | Zendy; Tadatomi Shinohara | Zendy

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

Author(s) -

I. S. Sogami,

Kitarō Nishida,

Hajime Tanaka,

Tadatomi Shinohara

Publication year - 1998

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.99.281

Subject(s) - physics , cabibbo–kobayashi–maskawa matrix , eigenvalues and eigenvectors , matrix (chemical analysis) , quark , order (exchange) , perturbation theory (quantum mechanics) , limit (mathematics) , mass spectrum , mass matrix , particle physics , quantum mechanics , mathematical analysis , mass spectrometry , mathematics , chemistry , finance , chromatography , neutrino , economics

To extract sum rules of CKM matrix elements, eigenvalue problems forquasi-democratic mass matrices are solved in the first order perturbationapproximation with respect to small deviations from the democratic limit. Massspectra of up and down quark sectors and the CKM matrix are shown to have clearand distinctive hierarchical structures. Numerical analysis shows that theabsolute values of calculated CKM matrix elements fit the experimental dataquite well. The order of the magnitude of the Jarlskog parameter is estimatedby the relation $|J| \approx \sqrt{2}(m_c/m_t + m_s/m_b)|V_{us}|^2|V_{cb}|/4$.Comment: Latex, 15 pages, no figure

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