Testing the presence of CP violation in the 2HDM

Abstract

We review CP properties of the Two-Higgs-Doublet model. In particular, we show that sponta- neous CP violation occurs in the parameter space on the border between regions allowing explicit CP violation and those where there is another minimum, deeper than the one corresponding to v = 246 GeV. We discuss weak-basis invariants which describe CP violation and express them through measurable quantities like coupling constants and masses. Also, we discuss how CP vi- olation is constrained by the LHC Higgs data. Finally, we identify effective operators that could be adopted to measure CP-invariants.