Relations among Elements of the Quark Mass Matrices

Abstract

Current experimental data suggest some relations between the Kobayashi-Maskawa Matrix and the quark mass ratios, namely $|V_{us}|\sim \sqrt{m_d/m_s}$, $|V_{ub}/V_{cb}|\sim \sqrt{m_u/m_c}$ and $|V_{cb}|\sim m_s/m_b$. We consider these relations seriously in this paper. As a result, they offer us some attractive relations among the elements of the mass matrices and bring us a problem. They might give us informations about the origin of Yukawa couplings.

13 pages