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 $\alpha _\textrm{S} (m_{{\text {Z}}}) =0.1179\pm 0.0019$.