ATLAS searches for di-Higgs production at 13 TeV and prospects for HL-LHC

The latest results on production of Higgs boson pairs at 13 TeV by the ATLAS experiment are reported, including a combination of six different decay modes. Results include bbtautau, bbbb, bbγγ, bbWW, WWWW and WWγγ final states, and they are interpreted both in terms of sensitivity to the SM and as limits on kappa_lambda, a scaling of the triple-Higgs interaction strength. A new search dedicated to the Vector-Boson-Fusion production was performed in the bbbb final state. Future prospects of testing the Higgs self-couplings at the High Luminosity LHC (HL-LHC) will also be presented.