We compute fragmentation corrections to hadroproduction of the quarkonium states J/ψ, χcJ, and ψ(2S) at leading power in mc2/pT2, where mc is the charm-quark mass and pT is the quarkonium transverse momentum. The computation is carried out in the framework of nonrelativistic QCD. We include corrections to the parton-production cross sections through next-to-leading order in the strong coupling αs and corrections to the fragmentation functions through second order in αs. We also sum leading logarithms of pT2/mc2 to all orders in perturbation theory. We find that, when we combine these leading-power fragmentation corrections with fixed-order calculations through next-to-leading order in αs, we are able to obtain good fits for pT≥10 GeV to hadroproduction cross sections that were measured at the Tevatron and the LHC. Using values for the nonperturbative long-distance matrix elements that we extract from the cross-section fits, we make predictions for the polarizations of the quarkonium states. We obtain good agreement with measurements of the polarizations, with the exception of the CDF Run II measurement of the prompt J/ψ polarization, for which the agreement is only fair. In the predictions for the prompt-J/ψ cross sections and polarizations, we take into account feeddown from the χcJ and ψ(2S) states.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)