Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-04-05
Eur.Phys.J.C51:927-931,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, no figure
Scientific paper
10.1140/epjc/s10052-007-0343-2
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.
Kanemura Shinya
Matsuda Koichi
Ota Toshihiko
Petcov Serguey
Shindou Tetsuo
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