Search for rare decays and lepton-flavor-violating decays of the Higgs boson at the ATLAS experiment

The Standard Model predicts several rare Higgs boson decay channels, among which are the decays to a Z boson and a photon, to a low-mass lepton pair and a photon, and to a meson and a photon. The observation of some of these decays could open the possibility of studying the CP and coupling properties of the Higgs boson in a complementary way to other analyses. In addition, lepton-flavor-violating decays of the observed Higgs boson are searched for, where an observation would be a clear sign of physics effects beyond the Standard Model. These proceedings present selected recent results for such decays based on proton-proton collision data at 13 TeV collected by the ATLAS experiment in Run 2 of the LHC.