Search for Higgs boson pair production in association with top-quark pairs using 196 fb⁻¹ of proton-proton collision data at √s= 13 and 13.6 TeV with the ATLAS detector

This paper presents the first search for non-resonant Higgs boson pair production in association with a top-quark pair (tt̄HH) using proton-proton collision data collected with the ATLAS detector at the Large Hadron Collider. The data sample corresponds to an integrated luminosity of 196 fb⁻¹, comprising 140 fb⁻¹ at a centre-of-mass energy of √s=13 TeV and 56 fb⁻¹ at 13.6 TeV. The search targets three distinct final states expected from tt̄HH decays: (i) one lepton (electron or muon) with at least five b-quarks, (ii) at least two b-quarks accompanied by two leptons with the same electric charges or multiple leptons, and (iii) at least three b-quarks with two photons. The tt̄HH production cross-section, relative to its Standard Model prediction, is measured to be μtt̄HH=-3⁺¹¹₋₁₂. This result corresponds to a 95$% $ confidence-level upper limit of 20 times the Standard Model prediction for the tt̄HH production cross-section, with an expected limit of 21. The Higgs effective field theory Wilson coefficient ctt̄HH is also constrained at the same confidence level to the range of $-3.9