Description
In 2012, the discovery of a particle compatible with a Higgs boson of a mass of roughly 125 GeV was announced. This great success is now being followed by the identification of the nature of this particle and the particle's properties are being measured. After a short overview of the status of this identification process from a theorist's point of view I will discuss improvements on the calculation of the Higgs boson mass in the Minimal Supersymmetric Standard Model in the light of the experimental results from the LHC. In the second part I will continue the discussion on the Higgs mass in the context of the Next-to Minimal Supersymmetric Standard Model (NMSSM). Some aspects of the renormalization of the Higgs sector will be discussed and a new tool, NMSSMCalc, for the evaluation of the Higgs mass spectrum and the partial decay widths in the NMSSM will be introduced.