New Class of Quark Mass Matrix and Calculability of Flavor Mixing Matrix

Abstract

We discuss a new general class of mass matrix ansatz that respects the fermion mass hierarchy and calculability of the flavor mixing matrix. This is a generalization and justification of the various specific forms of the mass matrix by successive breaking of the maximal permutation symmetry. By confronting the experimental data, a large class of the mass matrices are shown to survive, while certain specific cases are phenomenologically ruled out. Also the CP-violation turns out to be maximal, when the phase of the (1,2) element of the mass matrix is $\pi /2$.