Relativistic correction to $e^{+}{e}^{-}\to J/\psi +gg$ at $B$ factories and constraint on color-octet matrix elements

Abstract

We calculate the relativistic correction to $J/\psi$ production in the color-singlet process $e^{+}{e}^{-}\to J/\psi +gg$ at B-factories. We employ the non-relativistic QCD (NRQCD) factorization approach, where the short-distance coefficients are calculated perturbatively and the long-distance matrix elements are extracted from the decays of $J/\psi$ into $e^{+}{e}^{-}$ and light hadrons. We find that the $O(v^2)$ relativistic correction can enhance the cross section by a factor of 20-30%, comparable to the enhancement due to the $O({\alpha }_s)$ radiative correction obtained earlier. Combining the relativistic correction with the QCD radiative correction, we find that the color-singlet contribution to $e^{+}{e}^{-}\to J/\psi +gg$ can saturate the latest observed cross section $\sigma (e^{+}{e}^{-}\to J/\psi +X_{\mathrm{non}-\mathrm{c}\bar{\mathrm{c}}})=0.43\pm 0.09\pm 0.09$ pb by Belle, thus leaving little room to the color-octet contributions. This gives a very stringent constraint on the color-octet contribution, and may imply that the values of color-octet matrix elements are much smaller than expected earlier by using the naive velocity scaling rules or extracted from fitting experimental data with the leading-order calculations.

15 pages, 2 figures, version published in PRD

References in corpus (11)

• 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
• Double charm production e^+ e^- \to J/ψ+ c \bar{c} at B factories with next-to-leading order QCD corrections
• Potential-model calculation of an order-v^2 NRQCD matrix element
• 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
• Measurement of the e+e- -> J/psi ccbar cross section at \sqrt{s} ~10.6 GeV
• The study of leading twist light cone wave function of η_c meson
• Next-to-Leading-Order QCD Corrections to e+ e- --> J/psi c c_bar at the B Factories
• Relativistic Correction to J/ψProduction at Hadron Colliders

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