Measurements of the Higgs boson inclusive, differential and production cross sections in the 4$\ell$ decay channel at $\sqrt{s}$ = 13 TeV with the ATLAS detector

Inclusive, differential and production mode cross sections of the Higgs boson are measured in the $H \to ZZ^{*} \to 4\ell$ decay channel. Additionally, cross sections are measured for the main production modes in several exclusive regions of the Higgs boson production phase space. The dataset used corresponds to proton-proton collision data produced at the Large Hadron Collider at a centre-of-mass energy of 13 TeV and recorded by the ATLAS detector from 2015 to 2018, equivalent to an integrated luminosity of 139 fb$^{-1}$. The inclusive fiducial cross section for the process $H \to ZZ^{*} \to 4\ell$ is measured to be 3.35 $\pm$ 0.32 fb, while the Standard Model prediction is 3.41 $\pm$ 0.18 fb. The cross-section times $H \to ZZ^{*}$ branching ratio with $|y_H|<$~2.5 for gluon fusion and vector-boson fusion production are measured to be $1.14~ \pm ~0.13~$ pb and $0.13 ~\pm ~0.04~$ pb, respectively. All measurements are in agreement with the Standard Model prediction.