Revisiting the production of $J/\psi +{\eta }_c$ via the $e^{+}{e}^{-}$ annihilation within the QCD light-cone sum rules

Abstract

We make a detailed study on the typical production channel of double charmoniums, $e^{+}{e}^{-}\to J/\psi +{\eta }_c$, at the center-of-mass collision energy $\sqrt{s}=10.58$ GeV. The key component of the process is the form factor $F_{\mathrm{VP}}(q^2)$, which has been calculated within the QCD light-cone sum rules (LCSR). To improve the accuracy of the derived LCSR, we keep the $J/\psi$ light-cone distribution amplitude up to twist-4 accuracy. Total cross sections for $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ at three typical factorization scales are $\sigma {|}_{{\mu }_s}=22.53_{-3.49}^{+3.46}\mathrm{fb}$, $\sigma {|}_{{\mu }_k}=21.98_{-3.38}^{+3.35}\mathrm{fb}$ and $\sigma {|}_{{\mu }_0}=21.74_{-3.33}^{+3.29}\mathrm{fb}$, respectively. The factorization scale dependence is small, and those predictions are consistent with the BABAR and Belle measurements within errors.

arXiv comment8 pages, 3 figures, version to be published in Physical Review D

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Cited by in corpus (5)

• The $D_s$-meson leading-twist distribution amplitude within the QCD sum rules and its application to the $B_s\to D_s$ transition form factor
• Next-to-next-to-leading-order QCD corrections to $J/\psi$ plus ${\eta }_c$ production at the $B$ factories
• Next-to-leading-order study of $J/\psi$ angular distributions in $e^{+}{e}^{-}\to J/\psi +{\eta }_c,{\chi }_{cJ}$ at $\sqrt{s}\approx 10.6$ GeV
• $B_c\to J/\psi$ helicity form factors and the $B_c^{+}\to J/\psi +(P,V,{\ell }^{+}{\nu }_{\ell })$ decays
• Two loop QCD corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ in asymptotic expansion