Fermion Mass Matrices in term of the Cabibbo-Kobayashi-Maskawa Matrix and Mass Eigenvalues

Abstract

A parameter free, model independent analysis of quark mass matrices is carried out. We find a representation in terms of a diagonal mass matrix for the down (up) quarks and a suitable matrix for the up (down) quarks, such that the mass parameters only depend on the six quark masses and the three angles and phase appearing in the Cabibbo-Kobayashi-Maskawa matrix. The results found may also be applied to the Dirac mass matrices of the leptons.

7 pages LaTeX, no figures. Title changed, Particle Data Group parametrization of CKM matrix used in equation (8), numerical values in table 1 evaluated using the quark mass values at the Z^o mass scale, equation (21) eliminated and 2 references changed