Searches for h(125) properties beyond the Standard Model at the CMS experiment

The discovered Higgs boson with a mass of 125 GeV exhibits properties which are all in agreement with Standard Model predictions. However, the corresponding measurements still allow for a considerable non-Standard Model behavior of the h(125). Beyond Standard Model properties can show up in non-Standard Model decays of the h(125) or in anomalous couplings of the Higgs boson. This article presents four different analyses done at the CMS experiment with 2012 and 2016 data that search for properties of the discovered Higgs boson beyond the Standard Model. These include a search for lepton flavor violating Higgs decays, a search for decays of the h(125) to light Higgs bosons, a search for anomalous contributions to the Higgs trilinear self-coupling, and finally a search for anomalous couplings of the h(125) to vector bosons.