K^0 - bar K^0, B^0 - bar B^0 mixings in the MSSM with explicit CP violation in the Higgs sector

We consider the K^0 - bar K^0 and B^0 - bar B^0 mixings in the MSSM with the two-Higgs-doublet scalar sector featuring explicit CP violation, and the Yukawa sector of type II. In the case of strong mixing between CP-odd and CP-even states the existence of light charged Higgs is allowed in the model. The mass splitting Delta m_{LS} and the amount of indirect CP violation epsilon are calculated. In the limit of effective low-energy approximation the nonstandard effects are shown to be negligibly small in Delta m_{LS} and epsilon for the K^0-mesons, being almost independent on the charged Higgs boson mass. However, for the B_d^0 - bar B_d^0 and B_s^0 - bar B_s^0 systems the effects of nonstandard physics are shown to be larger, limiting the MSSM parameter space.