A complete NLO calculation of the $J/\psi$ and ${\psi }^{\prime }$ production at hadron colliders

Abstract

A complete next-to-leading order (NLO) calculation in ${\alpha }_s$ for the $\jpsi$ and $\psip$ prompt production at the Tevatron, LHC, and RHIC in nonrelativistic QCD is presented. We argue that the next-to-next-to-leading order (NNLO) color-singlet contribution may not be so important as to resolve the large discrepancy between theory and experiment in $\jpsi$ large $p_T$ production cross sections. Therefore, a complete NLO calculation, including both color-singlet and color-octet contribution, is necessary and essential to give a good description for $\jpsi$ and $\psip$ production. We also study the methods to fit the long-distance matrix elements using either two linear combined matrix elements or three matrix elements, and find these two methods can give consistent results. Compared with the measurements at the LHC and RHIC for prompt $\jpsi$ and $\psip$ production, our predictions are found to agree with all data. In particular, the recently released large $p_T$ data (up to 60-70 GeV) at the LHC are in good agreement with our predictions. Our results imply that the universality of color-octet matrix elements holds approximately in charmonium hadroproduction, when one uses fixed order perturbative calculation to describe data (the data in small $p_T$ region are not included). Our work may provide a new test for the universality of color-octet matrix elements, and the color-octet mechanism in general.

11 pages, 9 figures, title changed, contents substantially expanded, comparison with recent data at the LHC and RHIC made

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• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• Fragmentation contributions to J/psi production at the Tevatron and the LHC
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• Mining for Gluon Saturation at Colliders
• New Observables in Inclusive Production of Quarkonia
• J/$\psi$ production at high transverse momenta in p+p and Au+Au collisions at sqrt(s_{NN}) = 200 GeV
• Impact of ${\eta }_c$ hadroproduction data on charmonium production and polarization within NRQCD framework
• Measurement of forward $J/\psi$ production cross-sections in $pp$ collisions at $\sqrt{s}=13$ TeV
• ${\eta }_c$ production at LHC and indications on the understanding of $J/\psi$ production
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• Next-to-leading-order tests of nonrelativistic-QCD factorization with $J/\psi$ yield and polarization
• Measurement of the $J/\psi$ pair production cross-section in $pp$ collisions at $\sqrt{s}=13\mathrm{TeV}$
• Impact of $J/\psi$ pair production at the LHC and predictions in nonrelativistic QCD
• Quarkonium production in high energy proton-nucleus collisions: CGC meets NRQCD
• Search for millicharged particles in proton-proton collisions at $\sqrt{s}=13$ TeV
• Heavy Quarkonium Production at Low Pt in NRQCD with Soft Gluon Resummation
• Measurement of the production cross section of prompt J/psi mesons in association with a W boson in pp collisions at sqrt{s}=7 TeV with the ATLAS detector
• ${\rm Y}(nS)$ and ${\chi }_b(nP)$ production at hadron colliders in nonrelativistic QCD
• ${\rm Y}(1S)$ prompt production at the Tevatron and LHC in nonrelativistic QCD
• An experimental review of open heavy flavor and quarkonium production at RHIC
• Energy dependence of forward-rapidity J/$\psi$ and $\psi (2S)$ production in pp collisions at the LHC
• J/psi production in NRQCD: A global analysis of yield and polarization
• Impact of heavy quark and quarkonium data on nuclear gluon PDFs
• First measurement of quarkonium polarization in nuclear collisions at the LHC
• Sivers effect in Inelastic $J/\psi$ Photoproduction in $e{p}^{\uparrow }$ Collision in Color Octet Model
• Spin correlations in polarizations of P-wave charmonia ${\chi }_{cJ}$ and impact on $J/\psi$ polarization
• Factorized power expansion for high-$p_T$ heavy quarkonium production
• $J/\psi$ polarization in the CGC+NRQCD approach
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Global analysis of the experimental data on ${\chi }_c$ meson hadroproduction
• The remaining parts for the long-standing J/psi polarization puzzle
• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• Fragmentation functions of polarized heavy quarkonium
• Production and polarization of $S$-wave quarkonia in potential nonrelativistic QCD
• Measurement of $J/\psi$ production in association with a $W^{\pm }$ boson with $pp$ data at 8 TeV
• QCD leading order study of the $J/\psi$ leptoproduction at HERA within the nonrelativistic QCD framework
• ${\alpha }_s{v}^2$ corrections to ${\eta }_c$ and ${\chi }_{cJ}$ production recoiled with a photon at $e^{+}{e}^{-}$ colliders
• Quarkonium measurements in nucleus-nucleus collisions with ALICE
• B-meson Semi-inclusive Decay to $2^{-+}$ Charmonium in NRQCD and X(3872)
• Global analysis of $\psi (2S)$ inclusive hadroproduction at next-to-leading order in nonrelativistic-QCD factorization
• Boosting perturbative QCD stability in quarkonium production
• Resummation of relativistic corrections to exclusive productions of charmonia in e+ e- collisions
• J/psi and Upsilon Polarization in Hadronic Production Processes
• Yields and polarizations of prompt $\jpsi$ and $\psits$ production in hadronic collisions
• The complete study on polarization of ${\rm Y}(nS)$ hadroproduction at QCD next-to-leading order
• Fixed-target charmonium production and pion parton distributions
• Fragmentation contributions to $J/\psi$ photoproduction at HERA
• NRQCD analysis of charmonium production with pion and proton beams at fixed-target energies
• The complete study on the inclusive production of Υ + γ at the LHC
• Double longitudinal-spin asymmetries in $J/\psi$ production at RHIC
• Statistical analysis of the azimuthal asymmetry in the $J/\psi$ leptoproduction in unpolarized $ep$ collisions
• Search for millicharged particles in proton-proton collisions at $\sqrt{s}=13.6$ TeV
• Kinematic distributions of the ${\eta }_c$ photoproduction in $ep$ collisions within the nonrelativistic QCD framework
• NRQCD colour-octet expansion vs LHC quarkonium production: signs of a hierarchy puzzle?
• Polarization and cross section of midrapidity J/$\psi$ production in proton-proton collisions at $\sqrt{s}=510$ GeV
• Quarkonia production in the STAR experiment
• Resolving negative cross section of quarkonium hadroproduction using soft gluon factorization
• Higher-order corrections to exclusive production of charmonia at B factories
• Perturbative QCD for $J/\psi$ Inclusive Production Via Initial State Radiation at $e^{+}{e}^{-}$ collider
• Systematic study of Charmonium production in pp collisions at the LHC energies
• Kinematic distributions of the ${\eta }_c$ leptoproduction in association with light hadrons
• Non-Relativistic Quantum Chromodynamics in Parton Showers
• Exclusive process $\gamma \gamma \to J/\psi +\gamma$ production in ultraperipheral proton and nuclear collisions at the HL-LHC and FCC