The production of $\Upsilon$ mesons in $pp$ collisions at $\sqrt=7$ and $8\,\mathrm{TeV}$ is studied with the LHCb detector using data samples corresponding to an integrated luminosity of $1\,\mathrm{fb}^{-1}$ and $2\,\mathrm{fb}^{-1}$ respectively. The production cross-sections and ratios of cross-sections are measured as functions of the meson transverse momentum $p_T$ and rapidity $y$, for $p_T<30\,\mathrm{GeV}/c$} and $2.0<y<4.5$.
The ratio of differential cross-section $\mathrm{d} \sigma ( pp \to ( \Upsilon \to \mu^+ \mu^- ) X ) / \mathrm{d}y$ for $\sqrt{s}=8$ and $\sqrt{s}=7$ TeV and $p_T < 30$ GeV/$c$.
We present results on transverse momentum ($p_{\rm T}$) and rapidity ($y$) differential production cross sections, mean transverse momentum and mean transverse momentum square of inclusive J/$\psi$ and $\psi(2S)$ at forward rapidity ($2.5<y<4$) as well as $\psi(2S)$-to-J/$\psi$ cross section ratios. These quantities are measured in pp collisions at center of mass energies $\sqrt{s}=5.02$ and 13 TeV with the ALICE detector. Both charmonium states are reconstructed in the dimuon decay channel, using the muon spectrometer. A comprehensive comparison to inclusive charmonium cross sections measured at $\sqrt{s}=2.76$, 7 and 8 TeV is performed. A comparison to non-relativistic quantum chromodynamics and fixed-order next-to-leading logarithm calculations, which describe prompt and non-prompt charmonium production respectively, is also presented. A good description of the data is obtained over the full $p_{\rm T}$ range, provided that both contributions are summed. In particular, it is found that for $p_{\rm T}>15$ GeV/$c$ the non-prompt contribution reaches up to 50% of the total charmonium yield.
$J/\psi$ mean transversee momentum vs collision energy. $p_{\rm T}$ integration ranges are 0<$p_{\rm T}$<8 GeV/$c$ at $\sqrt{s}$ =2700 GeV, 0<$p_{\rm T}$<12 GeV/$c$ at $\sqrt{s}$ =5020, 0<$p_{\rm T}$<20 GeV/$c$ at $\sqrt{s}$ =7000, 0<$p_{\rm T}$<20 GeV/$c$ at $\sqrt{s}$ =8000 and 0<$p_{\rm T}$<20 GeV/$c$ at $\sqrt{s}$ =13000.
$J/\psi$ mean transversee momentum square vs collision energy. $p_{\rm T}$ integration ranges are 0<$p_{\rm T}$<8 GeV/$c$ at $\sqrt{s}$ =2700 GeV, 0<$p_{\rm T}$<12 GeV/$c$ at $\sqrt{s}$ =5020, 0<$p_{\rm T}$<20 GeV/$c$ at $\sqrt{s}$ =7000, 0<$p_{\rm T}$<20 GeV/$c$ at $\sqrt{s}$ =8000 and 0<$p_{\rm T}$<20 GeV/$c$ at $\sqrt{s}$ =13000.
$\psi(2S)$ mean transversee momentum vs collision energy. $p_{\rm T}$ integration ranges are 0<$p_{\rm T}$<12 GeV/$c$ at $\sqrt{s}$ =7000, 0<$p_{\rm T}$<12 GeV/$c$ at $\sqrt{s}$ =8000 and 0<$p_{\rm T}$<16 GeV/$c$ at $\sqrt{s}$ =13000.