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

Abstract

We compute fragmentation corrections to hadroproduction of the quarkonium states $J/\psi$, ${\chi }_{cJ}$, and $\psi (2S)$ at leading power in $m_c^2/p_T^2$, where $m_c$ is the charm-quark mass and $p_T$ 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 ${\alpha }_s$ and corrections to the fragmentation functions through second order in ${\alpha }_s$. We also sum leading logarithms of $p_T^2/m_c^2$ 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 ${\alpha }_s$, we are able to obtain good fits for $p_T\ge 10$ 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 $J/\psi$ polarization, for which the agreement is only fair. In the predictions for the prompt-$J/\psi$ cross sections and polarizations, we take into account feeddown from the ${\chi }_{cJ}$ and $\psi (2S)$ states.

41 pages, 21 figures, minor revisions, Figure 20 corrected, version published in Phys. Rev. D

References in corpus (21)

• J/psi (psi') production at the Tevatron and LHC at O(α_s^4v^4) in nonrelativistic QCD
• Reconciling J/psi production at HERA, RHIC, Tevatron, and LHC with NRQCD factorization at next-to-leading order
• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• QCD radiative corrections to ${\chi }_{cJ}$ production at hadron colliders
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• ${\eta }_c$ production at the LHC challenges nonrelativistic-QCD factorization
• Impact of ${\eta }_c$ hadroproduction data on charmonium production and polarization within NRQCD framework
• Quarkonium production in the LHC era: a polarized perspective
• ${\eta }_c$ production at LHC and indications on the understanding of $J/\psi$ production
• Next-to-leading-order tests of nonrelativistic-QCD factorization with $J/\psi$ yield and polarization
• Measurement of J/psi and psi(2S) prompt double-differential cross sections in pp collisions at sqrt(s) = 7 TeV
• Measurement of the ratio of prompt ${\chi }_c$ to $J/\psi$ production in $pp$ collisions at $\sqrt{s}=7$ TeV
• Production of psi(2S) Mesons in ppbar Collisions at 1.96 TeV
• Measurement of chi_c1 and chi_c2 production with sqrt(s) = 7 TeV pp collisions at ATLAS
• Factorized power expansion for high-$p_T$ heavy quarkonium production
• Determination of chi_c and chi_b polarizations from dilepton angular distributions in radiative decays
• Exclusive heavy quarkonium + gamma production from e+ e- annihilation into a virtual photon
• Fragmentation functions of polarized heavy quarkonium
• Quark fragmentation into spin-triplet $S$-wave quarkonium
• ${\chi }_{cJ}$ production associated with a $c\bar{c}$ pair at hadron colliders
• Fragmentation contributions to $J/\psi$ photoproduction at HERA

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• Fragmentation function of gluon into spin-singlet $P$-wave quarkonium
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• Resummation of threshold double logarithms in hadroproduction of heavy quarkonium
• Statistical analysis of the azimuthal asymmetry in the $J/\psi$ leptoproduction in unpolarized $ep$ collisions
• NRQCD colour-octet expansion vs LHC quarkonium production: signs of a hierarchy puzzle?
• Kinematic distributions of the ${\eta }_c$ photoproduction in $ep$ collisions within the nonrelativistic QCD framework
• Study of charmonium production via the decay to $p\bar{p}$ at $\sqrt{s}=13TeV$
• ${\eta }_c$ production associated with light hadrons at the B-factories and the future super B-factories
• Fragmentation of charm to charmonium in $e^{+}{e}^{-}$ and $pp$ collisions
• Resolving negative cross section of quarkonium hadroproduction using soft gluon factorization
• Resummation and renormalization of kinematical effects in inclusive $P$-wave quarkonium production
• Semi-inclusive jet cross sections within SCET
• Study of charmonium production using decays to hadronic final states with the LHCb experiment
• Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region
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