CP Violation in Higgs-Boson Interactions

We consider a general two-Higgs-doublet model with CP violation in the scalar sector, that leads, at the one-loop level of the perturbation expansion, to CP-violation in the process $e^+e^- \to t\bar{t} \to l^\pm ...$ and $e^+e^- \to t\bar{t} \to b/\bar{b} ...$. The goal of this study is to include {\it consistently} CP-violating effects in distributions of top-quark decay products ($l^\pm$ or $b/\bar{b}$) that emerge {\it both} from $t\bar{t}$ production {\it and} from $t$ or $\bar{t}$ decay processes.