CP violation due to multi-Froggatt–Nielsen fields Shinya Kanemura, Koichi Matsuda, Toshihiko Ota, Serguey Petcov, Tetsuo Shindou, Eiichi Takasugi and Koji Tsumura Eur. Phys. J. C, 51 4 (2007) 927-931 Published online: 01 August 2007 DOI: 10.1140/epjc/s10052-007-0343-2