Effects of CP violation on Rb in the two Higgs doublet model

Effects from the CP-violating Higgs sector in the two Higgs doublet model on the electroweak observable Rb are analyzed. The CP violating one-loop corrections on Rb are presented in terms of two categories of unknown parameters: the Higgs boson masses and their mixing angles. We investigate how much the one-loop radiative corrections SRb can be deviated from the CP conserving case for fixed Higgs boson masses when the mixing angles associated with CP violation are turned on. The dependence of SRb on the Higgs boson masses is also discussed.