QCD leading order study of the $J/\psi$ leptoproduction at HERA within the nonrelativistic QCD framework

Abstract

As indicated in our previous paper (Phys.Rev.D96.034002), the existing literatures studying the $J/\psi$ production in deeply inelastic scattering (DIS) in collinear factorization are on the basis of a formalism that will lead to wrong results when the ranges of the transverse momentum or the rapidity of the $J/\psi$ in the laboratory frame do not cover all values possible for them. In this paper, we present the renewed results for the $J/\psi$ production in DIS at HERA within the nonrelativistic QCD framework at QCD leading order (LO). Three different sets of the long-distance matrix elements are employed for comparison. The predictions via the colour-singlet (CS) model at QCD LO are generally below the experimental data especially in the regions where perturbation theory are expected to work well, while the colour-octet contributions are of the same order of magnitude as the CS ones, however, in general make the agreement between theory and experiment better.

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• J/psi (psi') production at the Tevatron and LHC at O(α_s^4v^4) in nonrelativistic QCD
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• Is the colour-octet mechanism consistent with the double $J/\psi$ production measurement at B-factories?
• ${\eta }_c$ production associated with light hadrons at the B-factories and the future super B-factories

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• New Observables in Inclusive Production of Quarkonia
• Transverse momentum dependent shape function for $J/\psi$ production in SIDIS
• Exclusive production of $J/\psi +{\eta }_c$ at the $B$ factories Belle and Babar using the principle of maximum conformality
• The production of the doubly charmed baryon in deeply inelastic $ep$ scattering at the Large Hadron Electron Collider
• Next-to-leading-order QCD corrections to the decay of $Z$ boson into ${\chi }_c({\chi }_b)$
• Statistical analysis of the azimuthal asymmetry in the $J/\psi$ leptoproduction in unpolarized $ep$ collisions
• Kinematic distributions of the ${\eta }_c$ photoproduction in $ep$ collisions within the nonrelativistic QCD framework
• Inclusive productions of ${\rm Y}(1S,2S,3S)$ and ${\chi }_b(1P,2P,3P)$ via the Higgs boson decay
• Kinematic distributions of the ${\eta }_c$ leptoproduction in association with light hadrons
• ${\rm Y}$ electroproduction at HERA, EIC, and LHeC within the nonrelativistic QCD framework
• Automated event generation for S-wave quarkonium and leptonium production in NRQCD and NRQED
• Next-to-leading order analysis of $J/\psi +\gamma$ production in photon-photon collisions at CEPC