Phenomenological tests of the Two-Higgs-Doublet Model with MFV and flavour-blind phases

In the context of a Two-Higgs-Doublet Model in which Minimal Flavour Violation (MFV) is imposed, one can allow the presence of flavour-blind CP-violating phases without obtaining electric dipole moments that overcome the experimental bounds. This choice permits to accommodate the hinted large phase in the $B_s$ mixing and, at the same time, to soften the observed anomaly in the relation between $\epsilon_K$ and $S_{\psi K_S}$.