Rare Higgs decays, Higgs BSM and di-Higgs

The discovery of the Higgs boson with the mass of 125 GeV completed the particle content predicted by the Standard Model. Even though this model is well established and consistent with many measurements, it is not capable of explaining some observations. Many extensions of the Standard Model addressing such shortcomings introduce new decays of the Higgs boson, as well as additional Higgs-like particles which can be either neutral or charged. Also, the observation and measurement of the Higgs boson self-coupling and thereby the shape of the Higgs potential are essential for a complete characterization of the Standard Model. These can be probed through the production of Higgs boson pairs. This talk presents the latest experimental results by ATLAS and CMS regarding searches for Higgs boson pairs, exotic decays of the Standard Model Higgs boson, and new Higgs-like particles.