for production of the Higgs boson in collisions at $\sqrt{s}=8$in the diphoton [@Aad2014; @Khachatryan2016], four-lepton [@2014234; @Khachatryan:2118088], and $\PW\PW$ [@Aad:2145362; @Khachatryan:2158105] decay channels. Both Collaborations have also presented measurements of inclusive and differential production cross sections in the four-lepton final state at $\sqrt{s}=13$[@Aaboud:2277731; @Sirunyan:2272260].

Production of the Higgs boson in collisions at the LHC occurs via four main mechanisms: gluon-gluon fusion ($\Pg\Pg\PH$), vector boson fusion (VBF), associated production with a / boson (V), and associated production with a top quark-antiquark pair ([$\ttbar\PH$]{}). At the center-of-mass energy of $13$, $\Pg\Pg\PH$ production is about one order of magnitude larger than the sum of the other production mechanisms. The SM prediction of the branching fraction for the [$\PH\to\Pgg\Pgg$]{}decay is only about 0.2% [@LHCHXSWG:YR4] but this channel has a clean signature and it is possible to reconstruct the diphoton invariant mass with high precision. The most precise measurements of differential cross sections of Higgs boson production can be made in this decay channel. The dominant sources of background are irreducible prompt diphoton production, and the reducible processes $\Pp\Pp\to \gamma + \text{jets}$ and $\Pp\Pp\to \text{multijets}$, where the jets are misidentified as photons.

In this paper we report the measurement of the inclusive and differential cross 