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The European Physical Journal C

, Volume 51, Issue 4, pp 927–931 | Cite as

CP violation due to multi-Froggatt–Nielsen fields

  • Shinya Kanemura
  • Koichi Matsuda
  • Toshihiko Ota
  • Serguey Petcov
  • Tetsuo ShindouEmail author
  • Eiichi Takasugi
  • Koji Tsumura
Regular Article - Theoretical Physics

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|e (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.

Keywords

Yukawa Coupling Mass Hierarchy Vacuum Expectation Value Yukawa Matrice Yukawa Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2007

Authors and Affiliations

  • Shinya Kanemura
    • 1
    • 2
  • Koichi Matsuda
    • 1
    • 3
  • Toshihiko Ota
    • 4
  • Serguey Petcov
    • 5
    • 6
  • Tetsuo Shindou
    • 5
    • 6
    Email author
  • Eiichi Takasugi
    • 1
  • Koji Tsumura
    • 1
  1. 1.Department of PhysicsOsaka UniversityToyonakaJapan
  2. 2.Department of PhysicsUniversity of ToyamaToyamaJapan
  3. 3.Center for High Energy PhysicsTsinghua UniversityBeijingChina
  4. 4.Max-Planck-Institut für KernphysikHeidelbergGermany
  5. 5.Scuola Internazionale Superiore di Studi AvanzatiTriesteItaly
  6. 6.Istituto Nazionale di Fisica NucleareSezione di TriesteTriesteItaly

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