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We review CP properties of the Two-Higgs-Doublet model. In particular, weshow that spontaneous CP violation occurs in the parameter space on the borderbetween regions allowing explicit CP violation and those where there is anotherminimum, deeper than the one corresponding to v=246 GeV. We discuss weak-basisinvariants which describe CP violation and express them through measurablequantities like coupling constants and masses. Also, we discuss how CPviolation is constrained by the LHC Higgs data. Finally, we identify effectiveoperators that could be adopted to measure CP-invariants.

Testing the presence of CP violation in the 2HDM