Fragmentation contributions to hadroproduction of prompt $J/\psi$, $\chi_{cJ}$, and $\psi(2S)$ states

We compute leading-power fragmentation corrections to hadroproduction of charmonium states J/ψ, χcJ , and ψ(2S) in the nonrelativistic QCD factorization formalism. We include fragmentation functions through order α 2 s and parton production cross sections through order α 3 s . We also resum leading logarithms of the transverse momentum divided by the charm-quark mass to all orders in αs . We find that the fragmentation corrections have a significant impact on the hadroproduction cross section of charmonia. We obtain good fits to the hadroproduction cross sections measured at the Tevatron and the LHC. Using the long-distance matrix elements obtained from the fits, we make predictions for prompt J/ψ polarization that are in good agreement with the LHC data.