Mixings and CP violations of the $$B^0 - \bar B^0 $$ system in the four-generation model

Abstract

We study the mixings and CP violations in the\(B^0 - \bar B^0 \) system together with the\(K^0 - \bar K^0 \) one in the four-generation model, taking into account the ARGUS data for the\(B_d^0 - \bar B_d^0 \) mixing. We take typical six cases of the mixing hierarchy and search for the allowed regions of three phases in the 4×4KM matrix. The CP violating parameter ɛ K in the\(K^0 - \bar K^0 \) system gives a severe constraint for the phases, and the smaller mixing than that in the three-generation model is predicted for the\(B_s^0 - \bar B_s^0 \) system. The asymmetry parameters for the two-body non-leptonic decays of theB0 and\(\bar B^0 \) mesons are also predicted.