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We reappraise the question whether the Standard Model, and Minimal FlavorViolating (MFV) models at large, can simultaneously describe the observed CPviolation in the K- and Bd-systems. We find that CP violation in the Bd-system,measured most precisely through (sin 2 beta)_{J/psi Ks}, implies|epsilon_K^{SM}| = 1.78(25) x 10^{-3} for the parameter epsilon_K, measuringindirect CP violation in the K-system, to be compared with the experimentalvalue |epsilon_K^{exp}| = 2.23(1) x 10^{-3}. To bring this prediction to 1sigma agreement with experiment, we explore then the simplest new-physicspossibility not involving new phases, namely that of MFV scenarios with no neweffective operators besides the Standard Model ones. We emphasize the crucialinput and/or measurements to be improved in order to probe this case. Inparticular we point out that this tension could be removed in this framework,with interesting signatures, e.g. correlated suppression patterns for rare Kdecay branching ratios. On the other hand, MFV contributions from new operatorsappear, in the calculable case of the MSSM, to worsen the situation. We finallyexplore some well-motivated new-physics scenarios beyond MFV, like thoseinvolving generic new contributions in Z-penguins.

On the consistency between the observed amount of CP violation in the K- and Bd-systems within minimal flavor violation