Measurements of the Higgs boson production, fiducial and differential cross-sections in the four lepton decay channel using 164 fb-1 of data collected at root s = 13.6 TeV with the ATLAS detector

Inclusive, differential and production-mode cross-section measurements of the Higgs boson are performed in the H -> ZZ∗ -> 4l decay channel. The analysis uses proton- proton collision data produced at the Large Hadron Collider at a centre-of-mass energy of root s = 13.6 TeV and recorded with the ATLAS detector, corresponding to an integrated luminosity of 164 fb-1. The inclusive fiducial cross-section for the H -> ZZ∗ -> 4l process is measured to be sigma_(fid) = 3.65+0.35−0.33 fb, in agreement with the Standard Model prediction of sigmaSM_(fid) = 3.68 +- 0.17 fb. Differential cross-sections are measured as a function of key kinematic observables of the Higgs boson and the four-lepton final state. Cross-sections are measured for the main production-modes in several exclusive regions of the Higgs boson production phase space and combined to measure an overall Higgs boson signal strength, defined as the measured cross-section normalised to the SM prediction, of mu = 0.99 ± 0.13. The results are interpreted in terms of modifications of Higgs boson couplings using the kappa framework, within the Standard Model Effective Field Theory, and in scenarios probing the Higgs boson self-coupling. All the results are consistent with Standard Model expectations.