<Emphasis Type="Italic">CP</Emphasis> violation due to multi-Froggatt–Nielsen fields |
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| Authors: | Shinya Kanemura Koichi Matsuda Toshihiko Ota Serguey Petcov Tetsuo Shindou Eiichi Takasugi Koji Tsumura |
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| Institution: | (1) Department of Physics, Osaka University, Toyonaka Osaka, 560-0043, Japan;(2) Department of Physics, University of Toyama, 3190 Gofuku, Toyama 930-8555, Japan;(3) Center for High Energy Physics, Tsinghua University, Beijing, 100084, China;(4) Max-Planck-Institut für Kernphysik, Postfach 10 39 80, 69029 Heidelberg, Germany;(5) Scuola Internazionale Superiore di Studi Avanzati, via Beirut, 34014 Trieste, Italy;(6) Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, via Beirut, 34014 Trieste, Italy |
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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 a
discrete symmetry imposed are necessary to generate CP violation due to the appearance of the relative phase between their vacuum expectation values. In the simplest model, the
ratios of quark masses and the Cabibbo–Kobayashi–Maskawa (CKM) matrix including the CP violating phase are determined by the CKM element |Vus| and the ratio of two vacuum expectation values of FN fields, R=|R|eiα (a magnitude and a phase). It is demonstrated how the angles φi (i=1,...,3) of the unitarity triangle and the CKM off-diagonal elements |Vub| and |Vcb| are predicted as a function of |Vus|, |R| and α. 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 if one wants to construct a more realistic model of flavor and CP violation.
PACS 11.30.Er; 12.60.-i |
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