Inclusive quarkonium production in \pp collisions at $\sqrt{s} = 5.02$ TeV

This article reports on the inclusive production cross section of several quarkonium states, $\mathrm{J}/\psi$, $\psi {\rm (2S)}$, $\Upsilon\rm(1S)$, $\Upsilon\rm(2S)$, and $\Upsilon\rm(3S)$, measured with the ALICE detector at the LHC, in pp collisions at $\sqrt{s} = 5.02$ TeV. The analysis is performed in the dimuon decay channel at forward rapidity ($2.5 < y < 4$). The measured cross sections, assuming unpolarized quarkonia, are: $\sigma_{\mathrm{J}/\psi} = 5.88 \pm 0.03 \pm 0.34\ \mu$b, $\sigma_{\psi {\rm (2S)}} = 0.87 \pm 0.06 \pm 0.10\ \mu$b, $\sigma_{\Upsilon\rm(1S)} = 45.5 \pm 3.9 \pm 3.5$ nb, $\sigma_{\Upsilon\rm(2S)} = 22.4 \pm 3.2 \pm 2.7$ nb, and $\sigma_{\Upsilon\rm(3S)} = 4.9 \pm 2.2 \pm 1.0$ nb, where the first (second) uncertainty is the statistical (systematic) one. The transverse-momentum ($p_{\rm T}$) and rapidity ($y$) differential cross sections for $\mathrm{J}/\psi$, $\psi {\rm (2S)}$, $\Upsilon\rm(1S)$, and the $\psi {\rm (2S)}$-to-$\mathrm{J}/\psi$ cross section ratios are presented. For the first time, the cross sections of the three $\Upsilon$ states, as well as the $\psi {\rm (2S)}$ one as a function of $p_{\rm T}$ and $y$, are measured at $\sqrt{s} = 5.02$ TeV at forward rapidity. These measurements also significantly extend the $\mathrm{J}/\psi$ $p_{\rm T}$ reach with respect to previously published results. A comparison with ALICE measurements in pp collisions at $\sqrt{s} = 2.76, 7, 8,$ and $13$ TeV is presented and the energy dependence of quarkonium production cross sections is discussed. Finally, the results are compared with the predictions from several production models.