  One Higgs was found. Are there more? In this work we discuss simple extension
of the scalar sector of the Standard Model (SM) used as benchmark models by
ATLAS and CMS in the searches for new scalars at the LHC. We discuss how much
the discovered 125 GeV Higgs at the LHC resembles the SM Higgs and how will our
understanding of the Higgs nature improve at future electron-positron
colliders. Models with extended Higgs sectors provide very interesting
scenarios, from the existence of charged Higgs bosons to CP-violating scalars
that can be probed by the experimental collaborations at the LHC. Comparison
between the rates in the different models show that in some cases the models
could be distinguished.
