t -> c H⁰ decay in the general two Higgs doublet model

We study the flavor changing t -> c H^0 decay in the framework of the general two Higgs doublet model, so called model III. Here, we take the Yukawa couplings complex and switch on the CP violating effects. We predict the branching ratio six orders larger compared to the one calculated in the SM, namely BR ~ 10^{-7}, and observe a measurable CP asymmetry, at the order of 10^{-2}.