Measurement of the total and differential Higgs boson production cross-sections at $\sqrt{s} = 13$ TeV with the ATLAS detector by combining the $H \rightarrow ZZ^* \rightarrow 4\ell$ and $H \rightarrow \gamma \gamma$ decay channels

The total and differential Higgs boson production cross-sections are measured through a combined statistical analysis of the $H \rightarrow ZZ^* \rightarrow 4\ell$ and $H \rightarrow \gamma \gamma$ decay channels. The results are based on a dataset of 139 fb$^{-1}$ of proton-proton collisions at a centre-of-mass energy of 13 TeV, recorded by the ATLAS detector at the Large Hadron Collider. The measured total Higgs boson production cross-section is 55.5$^{+4.0}_{-3.8}$ pb, consistent with the Standard Model prediction of 55.6$\pm$ 2.5 pb. All results from the two decay channels are compatible with each other, and their combination agrees with the Standard Model predictions. A combined statistical interpretation of the measured fiducial cross-sections as a function of the Higgs boson transverse momentum is performed in order to probe the Yukawa couplings to the bottom and charm quarks. A similar interpretation is performed by including also the constraints from the measurements of Higgs boson production in association with a $W$ or $Z$ boson in the $H \rightarrow b\bar{b}$ and $c\bar{c}$ decay channels.