Next-to-Leading-Order QCD Corrections to e+ e- --> J/psi c c_bar at the B Factories

Abstract

We calculate the next-to-leading-order (NLO) QCD correction to $e^{+}{e}^{-}\to J/\psi c\bar{c}$ at the B factories, and present theoretical predictions on the momentum and production angular distribution for $J/\psi$ production, and momentum distribution for $J/\psi$ polarization at NLO for the first time. By applying Brodsky, Lepage and Mackenzie scale setting for the renormalization scale, it is found that the QCD perturbative expansion is significantly improved with the unique scale choice ${\mu }^{\ast }=1.65$GeV. Together with the ${\psi }^{\prime }$ feed-down contribution, the total cross section and momentum distribution can account for the recent experimental measurement by the Belle collaboration. The total cross section and momentum distribution are also found to be consistent with the experimental measurement in the previous study on $e^{+}{e}^{-}\to J/\psi gg$. However, the production angular distribution of $J/\psi$ production for either the $J/\psi c\bar{c}$ or the $J/\psi gg$ channel has a quite different shape in contrast with the new experimental data, although it fits with the experimental data when the two channels are added together. This situation is difficult to explain. To clarify the puzzle of $J/\psi$ polarization, further experimental measurements are strongly expected to testify our predictions on the momentum distribution for $J/\psi$ polarization. Our total cross section agrees with that given in the previous study of Zhang and Chao by using their renormalization scheme and input parameters.

arXiv comment9 pages, 14 figures, The last version appeared in Phys. Rev. D

References in corpus (45)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Color-Octet Fragmentation and the psi' Surplus at the Tevatron
• The two cutoff phase space slicing method
• Observation of Double cc bar Production in e+ e- Annihilation at sqrt{s} ~ 10.6 GeV
• QCD corrections to J/psi and Upsilon production at hadron colliders
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into a Virtual Photon
• Polarizations of J/psi and psi(2S) Mesons Produced in ppbar Collisions at 1.96 TeV
• J/psi, psi' and Upsilon Production at Hadron Colliders: a review
• Measurement of Double Charmonium Production in $e^{+}{e}^{-}$ Annihilations at $\sqrt{s}=10.6$ GeV
• Next-to-Leading Order QCD Correction to ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi }+{\mathbf{\eta }}_{\mathbf{c}}$ at $\sqrt{s}=10.6$GeV}
• QCD corrections to J/psi polarization of hadronproduction at Tevatron and LHC
• Problems of Double Charm Production in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=10.6$ GeV
• Study of double charmonium production in e^+ e^- annihilation at \sqrt{s} ~ 10.6 GeV
• Hadroproduction of J/psi and Upsilon in association with a heavy-quark pair
• Progress in FDC Project
• QCD corrections to J/psi production via color octet states at Tevatron and LHC
• Relativistic corrections to $J/\psi$ exclusive and inclusive double charm production at B factories
• Exclusive J/ψProductions at e^+ e^- Colliders
• QCD corrections to J/psi plus eta_c production in e+e- annihilation at sqrt{s}=10.6 GeV
• Double charm production e^+ e^- \to J/ψ+ c \bar{c} at B factories with next-to-leading order QCD corrections
• Signature for Color-Octet Production of $J/\psi$ in $e^{+}{e}^{-}$ Annihilation
• Prompt J/psi production at e^+e^- colliders
• Resumming the color-octet contribution to e+ e- -> J/psi + X
• QCD corrections to ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi gg}$ at B Factories
• Next-to-Leading-Order QCD Corrections to e^ + e^- -> J/ψ+gg at the B Factories
• QCD corrections to polarization of J/ψand Υat Fermilab Tevatron and CERN LHC
• Next-to-Leading-Order QCD corrections to J/ψ(Υ)+γproduction at the LHC
• Color-Singlet ${\psi }_Q$ Production at $e^{+}{e}^{-}$ Colliders
• e^+ e^- Annihilation into J/psi + J/psi
• Production of Prompt Charmonia in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}\approx 10.6$ GeV
• Measurement of $J/\psi$ production in continuum $e^{+}{e}^{-}$ annihilations near $\sqrt{s}=10.6$ GeV
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into Two Virtual Photons
• Possible solution of the J/psi production puzzle
• QCD corrections to double J/ψproduction in e+e- annihilation at \sqrt{s}=10.6 GeV
• Color Transfer in Associated Heavy-Quarkonium Production
• J/ψpolarization in photo-production up-to the next-to-leading order of QCD
• Relativistic Corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ in a Potential Model
• Production of $J/\psi +c\bar{c}$ through two photons in $e^{+}{e}^{-}$ annihilation
• Exclusive Two-Vector-Meson Production from e^+ e^- Annihilation
• Color Transfer Enhancement for Heavy Quarkonium Production
• Testing factorization of charmonium production
• Polarized J/psi production at CLEO
• J/ψElectromagnetic Production at e^+e^- colliders
• Charm Physics - A Field Full with Challenges and Opportunities
• The J/ψProduction Associated with a Hard Photon and the Color-Octet Singnature in e^+e^- Annihilation

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