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Using nonrelativistic QCD (NRQCD) factorization, we calculate the yields for$J/\psi$, $\psi(2S)$ and $\Upsilon(1S)$ hadroproduction at $\sqrt{s}=$ 72 GeVand 115 GeV including the next-to-leading order QCD corrections. Both thesecenter-of-mass energies correspond to those obtained with 7~TeV and 2.76~TeVnucleon beam impinging a fixed target. We study the cross section integrated in$p_t$ as a function of the rapidity as well as the $p_t$ differential crosssection in the central rapidity region. Using different NLO fit results of theNRQCD long-distance matrix elements, we evaluate a theoretical uncertaintywhich is certainly much larger than the projected experimental uncertaintieswith the expected 20 fb$^{-1}$ to be collected per year with AFTER@LHC.

advances in high energy physics

Next-To-Leading Order Differential Cross-Sections for $J/\psi$,  $\psi(2S)$ and $\Upsilon$ Production in Proton-Proton Collisions at a  Fixed-Target Experiment using the LHC Beams (AFTER@LHC)