  We discuss the phenomenology of several Beyond the Standard Model (SM)
extensions that include extended Higgs sectors. The models discussed are: the
SM extended by a complex singlet field (CxSM), the 2-Higgs-Doublet Model with a
CP-conserving (2HDM) and a CP-violating (C2HDM) scalar sector, the singlet
extension of the 2-Higgs-Doublet Model (N2HDM), and the Next-to-Minimal
Supersymmetric SM extension (NMSSM). All the above models have at least three
neutral scalars, with one being the 125 GeV Higgs boson. This common feature
allows us to compare the production and decay rates of the other two scalars
and therefore to compare their behaviour at future electron-positron colliders.
Using predictions on the expected precision of the 125 GeV Higgs boson
couplings at these colliders we are able to obtain the allowed admixtures of
either a singlet or a pseudoscalar to the observed 125 GeV scalar. Therefore,
even if no new scalar is found, the expected precision at future
electron-positron colliders, such as CLIC, will certainly contribute to a
clearer picture of the nature of the discovered Higgs boson.
