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The search is based on a data sample of proton--proton collisions at $\\sqrt{s}$ = 13 TeV recorded with the ATLAS detector during Run 2 of the Large Hadron Collider, corresponding to an integrated luminosity of 140 fb$^{-1}$. No evidence of the signal is found and the observed (expected) upper limit on the cross-section for non-resonant Higgs boson pair production is determined to be 17 (11) times the Standard Model predicted cross-section at 95% confidence level under the background-only hypothesis. The observed (expected) constraints on the HHH coupling modifier, $\\kappa_{\\lambda}$, are determined to be -6.2 &lt; $\\kappa_{\\lambda}$ &lt; 11.6 (-4.5 &lt; $\\kappa_{\\lambda}$ &lt; 9.6) at 95% confidence level,assuming the Standard Model for the expected limits and that new physics would only affect $\\kappa_{\\lambda}$.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t1","@type":"Dataset","description":"Number of ggF and VBF SM HH signal events satisfying the preselection requirements from the targeted HH decay modes and...","name":"Multi-leptons ggF and VBF signal events after preselection"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t2","@type":"Dataset","description":"Number of ggF and VBF SM HH signal events satisfying the preselection requirements from the targeted HH decay modes and...","name":"$\\gamma\\gamma$ + ML and VBF signal events after preselection"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t3","@type":"Dataset","description":"Distribution of the BDT output score in the 4l+2b channel signal region.","name":"4l+2b channel, BDT output, SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t4","@type":"Dataset","description":"Distribution of the BDT output score in the the 3l channel signal region.","name":"3l channel BDT output, SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t5","@type":"Dataset","description":"Distribution of the BDT output score in the 2lSC channel signal region.","name":"2lSC channel BDT output, SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t6","@type":"Dataset","description":"Distribution of the BDT output score in the 2lSC+$\\tau_{had}$ channel signal region.","name":"2lSC+$\\tau$ channel BDT output, SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t7","@type":"Dataset","description":"Distribution of the BDT output score in the the 2l+2$\\tau_{had}$ channel signal region.","name":"2l+2$\\tau$ channel BDT output, SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t8","@type":"Dataset","description":"Distribution of the BDT output score in the l+2$\\tau_{had}$ channel signal region.","name":"l+2$\\tau$ channel BDT output, SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t9","@type":"Dataset","description":"Invariant mass of the diphoton system in the $\\gamma\\gamma$+2(l,$\\tau_{had}$) channel signal region.","name":"m$_{\\gamma\\gamma}$, $\\gamma\\gamma$+2(l,$\\tau$) channel, SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t10","@type":"Dataset","description":"Invariant mass of the diphoton system in the $\\gamma\\gamma$+$e/\\mu$ channel in the loose BDT signal region.","name":"m$_{\\gamma\\gamma}$, $\\gamma\\gamma$+l channel, BDT loose SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t11","@type":"Dataset","description":"Invariant mass of the diphoton system in the $\\gamma\\gamma$+$e/\\mu$ channel in the medium BDT signal region.","name":"m$_{\\gamma\\gamma}$, $\\gamma\\gamma$+l channel, BDT medium SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t12","@type":"Dataset","description":"Invariant mass of the diphoton system in the $\\gamma\\gamma$+$e/\\mu$ channel in the tight BDT signal region.","name":"m$_{\\gamma\\gamma}$, $\\gamma\\gamma$+l channel, BDT tight SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t13","@type":"Dataset","description":"Invariant mass of the diphoton system in the $\\gamma\\gamma$+$\\tau$ channel in the loose BDT signal region.","name":"m$_{\\gamma\\gamma}$, $\\gamma\\gamma$+$\\tau$ channel, BDT loose SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t14","@type":"Dataset","description":"Invariant mass of the diphoton system in the $\\gamma\\gamma$+$\\tau$ channel in the medium BDT signal region.","name":"m$_{\\gamma\\gamma}$, $\\gamma\\gamma$+$\\tau$ channel, BDT medium SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t15","@type":"Dataset","description":"Invariant mass of the diphoton system in the $\\gamma\\gamma$+$\\tau$ channel in the tight BDT signal region.","name":"m$_{\\gamma\\gamma}$, $\\gamma\\gamma$+$\\tau$ channel, BDT tight SR"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t16","@type":"Dataset","description":"Observed and expected 95% CL upper limits on the signal strength for the ML channels and the $\\gamma\\gamma$+ML channels.","name":"signal strength limits"},{"@id":"https://doi.org/10.17182/hepdata.152622.v1/t17","@type":"Dataset","description":"Expected values of -2ln$\\Lambda$ as a function of $\\kappa_\\lambda$ for the combination. 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