After the discovery of the Higgs boson at the 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 discuss options to get a handle on the parameters of the Higgs sector, which will help us to understand its nature, in a general framework of parametrizing BSM effects with higher dimensional operators. The focus will be on the Higgs potential and the Yukawa couplings to light quarks.