  We give a brief overview of beyond the Standard Model (BSM) theories with an
extended scalar sector and their phenomenological status in the light of recent
experimental results. We discuss the relevant theoretical and experimental
constraints, and show their impact on the allowed parameter space of two
specific models: the real scalar singlet extension of the Standard Model (SM)
and the Inert Doublet Model. We emphasize the importance of the LHC
measurements, both the direct searches for additional scalar bosons, as well as
the precise measurements of properties of the Higgs boson of mass 125 GeV. We
show the complementarity of these measurements to electroweak and dark matter
observables.
