Abstract
We calculate the partonic asymmetries for the processes relevant to large-transverse-momentum quarkonium production in hadron collisions. We use these to evaluate the spin-spin asymmetries in large-${p}_{T}$ charmonium production in polarized proton-proton collisions using two different sets of polarized gluon distributions. The sensitivity of this process to the polarized gluon distribution is then compared to low-${p}_{T}$ $\ensuremath{\psi}$ production.
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