Measurement of quarkonium production cross sections in pp collisions at $\sqrt{s}=$ 13 TeV

Differential production cross sections of J/$\psi$ and $\psi$(2S) charmonium and $\mathrm{{\rm Y}}$(nS) (n = 1, 2, 3) bottomonium states are measured in proton-proton collisions at $\sqrt{s}=$ 13 TeV, with data collected by the CMS detector at the LHC, corresponding to an integrated luminosity of 2.3 fb${}^{-1}$ for the J/$\psi$ and 2.7 fb${}^{-1}$ for the other mesons. The five quarkonium states are reconstructed in the dimuon decay channel, for dimuon rapidity $|y| <$ 1.2. The double-differential cross sections for each state are measured as a function of $y$ and transverse momentum, and compared to theoretical expectations. In addition, ratios are presented of cross sections for prompt $\psi$(2S) to J/$\psi$, $\mathrm{{\rm Y}}$(2S) to $\mathrm{{\rm Y}}$(1S), and $\mathrm{{\rm Y}}$(3S) to $\mathrm{{\rm Y}}$(1S) production.