CP-Violation parameters in the two Higgs doublets model

The perturbative unitarity constraints on the CP-violation parameters in the neutral scalar mesons sector are examined for the standard model extension involving two scalar Higgs doublets. The top- and bottom-quark condensates approach is employed, but we also use the alternative renormalization group approach based on the assumption that the coupling constants of the hard Yukawa and self-coupling scalar mesons interactions reach approximate infrared fixed points at the electroweak scale. The perturbative unification scale,F X , the charged Higgs bosons mass, the complex CP-violation phase and eventually the ratio of vacuum expectation values of the neutral scalar fields constitute the sole free parameters. We evaluate numerically the CP-violation parameters, Imz i , representing the mixing of scalar and pseudoscalar mesons as a function of these parameters. The allowed ranges for Imz i are found to lie far below the unitarity bounds obtained by Weinberg.