A Detailed Analysis of a Modified Fritzsch Scheme of Quark Mass Matrices

Abstract

We investigate in detail a modified version of the Fritzsch scheme where the diagonal entries $(M_{u,d}{)}_{22}$ are introduced as free parameters instead of being zero. We find that $(M_u{)}_{22}$ and $(M_d{)}_{22}$ are restricted to l in the range $m_u-m_c\le (M_u{)}_{22}<m_t-m_c$ and $m_d-m_s\le (M_d{)}_{22}<m_b-m_s$. In the context of this scheme, we obtain the ratio $\frac{|V_{td}|}{|V_{ts}|}\approx \sqrt{\frac{m_d}{m_s}}$ under quite general conditions whereas the ratio $\frac{|V_{ub}|}{|V_{cb}|}$ is sensitive to the values of $(M_u{)}_{22}$ and $(M_d{)}_{22}$. The two independent phases are found to take rather preferred values.

22 pages