Ecker-Grimus-Neufeld model and the parametrization of KM matrix

Ecker, Grimus and Neufeld proposed a model of spontaneous CP violation with the neutral flavor conservation. They found eight kinds of phenomenologically acceptable KM matrices with four generations and discussed qualitative features of them. In this paper, we further investigate their properties, such as the number of the independent parameters, the form of KM matrices. Then, we construct the Wolfenstein-type parametrization of these KM matrices and give a quantitative analysis of them. We found that four of them are excluded because of no CP or too small violation or predicting too small value of (KL)cb. Resultantly, four kinds of KM matrices in EGN model survive from our evaluation. (author)