The CMS experiment has measured the cross section of inclusive jets in proton-proton collisions with center-of-mass (COM) energies of $7$, $8$, and $13$ TeV after the precise calibration of jet momentum. At $7$ TeV COM energy, the ratio of the double-differential cross section of inclusive anti-$k_{\mathrm{T}}$ jets with distance parameter $R$ of $0.5$ to that of anti-$k_{\mathrm{T}}$ jets with $R$ of $0.7$ was measured as a function of transverse momentum $p_{\mathrm{T}}$ and rapidity $y$ of the jet.
This was followed by the measurement of the ratio of the inclusive anti-$k_{\mathrm{T}}$ jet cross sections as a function of jet $p_{\mathrm{T}}$ and $y$, for values of $R$ ranging from $0.1$ to $1.2$ to that using a $R$ of $0.4$, and the study of the dependence of the inclusive jet production cross section on the parameter $R$ using $35.9~\mathrm{fb}^{-1}$ data collected at $13$ TeV COM energy. The results are compared to calculations at leading order (LO) and next-to-leading order (NLO) in the strong coupling constant using different parton shower models. The variation of the ratio of cross sections with the distance parameter is described well by calculations including a parton shower model, but not by a pure leading order QCD calculation including nonperturbative effects. The descriptions of the ratios of cross sections are significantly improved when NLO QCD calculations with nonperturbative effects are used.