Search for rare decays of the Standard Model Higgs boson with the ATLAS detector

The Standard Model predicts several rare Higgs boson decay channels, among which are decays to a Z boson and a photon, H to Zgamma, and to a low-mass lepton pair and a photon H to llgamma, and a pair of muon. The observation of Zgamma 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, the search for Higgs decays into a vector quarkonium state and a photon provides access to charm- and bottom-quark couplings alternative to the direct H->bb/cc search. Several results for decays based on pp collision data collected at 13 TeV will be presented.