Measurement of the dependence of inclusive jet production cross sections on the anti- $k_{\mathrm{T}}$ distance parameter in proton-proton collisions at sqrt(s) 13 TeV

The dependence of inclusive jet production cross sections on the anti-$k_{\mathrm{T}}$ distance parameter in proton-proton collisions with a center-of-mass energy of 13 TeV is studied using $35.9~\mathrm{fb}^{-1}$ data collected by the CMS experiment. The ratio of the inclusive cross sections as a function of transverse momentum $p_{\mathrm{T}}$ and rapidity $y$ for distance parameters ranging from $0.1$ to $1.2$ to that using a distance parameter of $0.4$ is presented in the region $84 < p_{\mathrm{T}} < 1588$ GeV and $|y|<2.0$. The results are compared to calculations at leading order and next-to-leading order in the strong coupling constant using different parton shower models. The shape of the variation of ratio of cross sections with distance parameter is described well by calculations including a parton shower model, but not by a pure leading order QCD calculation including only nonperturbative effects. The descriptions of the ratios of cross sections are significantly improved when both next-to-leading order QCD calculations and nonperturbative effects are included.