Search for non-resonant di-Higgs production in the $HH\rightarrow b\bar{b}\gamma\gamma$ decay channel in $pp$ collisions at $\sqrt{s}= 13$ TeV with the ATLAS experiment

We present a search for non-resonant di-Higgs production in the $HH\rightarrow b\bar{b}\gamma\gamma$ channel. The measurement uses 139 $\mathrm{fb}^{-1}$ of $pp$ collisions recorded by the ATLAS experiment at a center-of-mass energy of 13 TeV. Selected events are separated into multiple regions, targeting both the SM signal and BSM signals with modified Higgs self-couplings. No excess with respect to background expectations are found and upper limits at 95% confidence level are set on the di-Higgs production cross sections. The observed (expected) limit on the Standard Model cross section is 130fb (180fb), corresponding to 4.1 (5.5) times the predicted value. The observed (expected) Higgs trilinear coupling modifier is constrained to be between [-1.5, 6.7] ([2.4, 7.7]).