Resummed quarkonium fragmentation functions are derived to all orders in perturbation theory, resolving threshold singularities without nonperturbative model functions.
Fragmentation contributions to J/psi production at the Tevatron and the LHC
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abstract
We compute leading-power fragmentation corrections to $J/\psi$ production at the Tevatron and the LHC. We find that, when these corrections are combined with perturbative corrections through next-to-leading order in the strong coupling constant $\alpha_s$, we obtain a good fit to high-$p_T$ cross section data from the CDF and CMS Collaborations. The fitted long-distance matrix elements lead to predictions of near-zero $J/\psi$ polarization in the helicity frame at large $p_T$.
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Resummation of threshold double logarithms in quarkonium fragmentation functions
Resummed quarkonium fragmentation functions are derived to all orders in perturbation theory, resolving threshold singularities without nonperturbative model functions.