After the discovery of the Higgs boson at the CERN
Large Hadron Collider (LHC), we want to access its properties
as exact as possible in order to further improve our understanding of
how electroweak symmetry is broken in nature.
In particular, we hope to find signs for physics beyond the
Standard Model (BSM) that can address its shortcomings.
In this talk I will on the one hand discuss options to get a
handle on the parameters of the Higgs sector, such as its self interactions
and Yukawa couplings, that will help us to understand its nature
in a general framework.
On the other hand, I will study the impact of concrete BSM Higgs models,
like setups where the Higgs boson is a composite state,
on LHC observables and vice versa, addressing options to
resolve emerging tensions of such models with LHC data.