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Abstract

We study how to incorporate CP violation in the Froggatt--Nielsen (FN) mechanism.
To this end, we introduce non-renormalizable interactions with a flavor democratic
structure to the fermion mass generation sector. It is found that at least two
iso-singlet scalar fields with imposed a discrete symmetry are necessary to generate
CP violation due to the appearance of the relative phase between their vacuum
expectation values.
In the simplest model, ratios of quark masses and the Cabibbo-Kobayashi-Maskawa (CKM)
matrix including the CP violating phase are determined by the CKM element |V_{us}|
and the ratio of two vacuum expectation values R=|R|e^{i*alpha} (a magnitude and
a phase). It is demonstrated how the angles phi_i (i=1--3) of the unitarity triangle
and the CKM off-diagonal elements |V_{ub}| and |V_{cb}| are predicted as a function
of |V_{us}|, |R| and \alpha. Although the predicted value of the CP violating phase
does not agree with the experimental data within the simplest model, the basic idea
of our scenario would be promising to construct a more realistic model of flavor and
CP violation.