Resummation of relativistic corrections to exclusive productions of charmonia in e+ e- collisions

Abstract

We investigate two exclusive processes, e+ e- -> eta_c + gamma and e+ e- -> J/psi + J/psi, at the center-of-momentum energy sqrt{s}=10.58 GeV within the framework of the nonrelativistic QCD factorization approach. A class of relativistic corrections is resummed to all orders in the heavy-quark velocity v and the corrections are large negative. We further improve the prediction by including available QCD next-to-leading-order corrections and the interference between the QCD and relativistic corrections. The prediction for sigma[e+ e- -> eta_c + gamma] is about 50 fb. In the case of e+ e- -> J/psi + J/psi the standard nonrelativistic QCD prediction for the cross section is negative. As an alternative, the vector-meson-dominance approach is employed to compute the photon-fragmentation contribution of the process, which gives the cross section ~1 fb. This is an indication that the uncalculated QCD higher-order corrections may be significant. Our results can be tested against the forthcoming data from Belle II and super B factories.

23 pages, 2 figures, 3 tables

References in corpus (19)

• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Relativistic corrections to $J/\psi$ exclusive and inclusive double charm production at B factories
• QCD corrections to J/psi plus eta_c production in e+e- annihilation at sqrt{s}=10.6 GeV
• Resummation of Relativistic Corrections to e+ e- -> J/psi+eta_c
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
• QCD corrections to double J/ψproduction in e+e- annihilation at \sqrt{s}=10.6 GeV
• NRQCD matrix elements for S-wave bottomonia and Gamma[eta_b(nS) -> gamma gamma] with relativistic corrections
• $O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium
• Higher-order relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium
• $O({\alpha }_s{v}^2)$ correction to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ at $B$ factories
• Factorization in exclusive quarkonium production
• Factorization theorems for exclusive heavy-quarkonium production
• Exclusive Two-Vector-Meson Production from e^+ e^- Annihilation
• Exclusive heavy quarkonium + gamma production from e+ e- annihilation into a virtual photon
• Order-alpha_s corrections to the quarkonium electromagnetic current at all orders in the heavy-quark velocity
• Relativistic corrections to the axial vector and vector currents in the bar{b}c meson system at order alpha_s
• The study of double vector charmonium mesons production at B-factories within light cone formalism
• Reconciling the nonrelativistic QCD prediction and the $J/\psi \to 3\gamma$ data

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• Is the colour-octet mechanism consistent with the double $J/\psi$ production measurement at B-factories?
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• Next-to-next-to-leading-order QCD corrections to double $J/\psi$ production at the $B$ factories
• Dark Matter Production Associated With a Heavy Quarkonium at B Factories