Measurement of multidifferential cross sections for dijet production in proton–proton collisions at \(\sqrt{s} = 13\,\text {Te}\hspace{-.08em}\text {V} \)

A measurement of the dijet production cross section is reported based on proton–proton collision data collected in 2016 at \(\sqrt{s}=13\,\text {Te}\hspace{-.08em}\text {V} \) by the CMS experiment at the CERN LHC, corresponding to an integrated luminosity of up to 36.3\(\,\text {fb}^{-1}\). Jets are reconstructed with the anti-\(k_{\textrm{T}} \) algorithm for distance parameters of \(R=0.4\) and 0.8. Cross sections are measured double-differentially (2D) as a function of the largest absolute rapidity \(|y |_{\text {max}} \) of the two jets with the highest transverse momenta \(p_{\textrm{T}}\) and their invariant mass \(m_{1,2} \), and triple-differentially (3D) as a function of the rapidity separation \(y^{*} \), the total boost \(y_{\text {b}} \), and either \(m_{1,2} \) or the average \(p_{\textrm{T}}\) of the two jets. The cross sections are unfolded to correct for detector effects and are compared with fixed-order calculations derived at next-to-next-to-leading order in perturbative quantum chromodynamics. The impact of the measurements on the parton distribution functions and the strong coupling constant at the mass of the \({\text {Z}} \) boson is investigated, yielding a value of \(\alpha _\textrm{S} (m_{{\text {Z}}}) =0.1179\pm 0.0019\).