$\mathcal{O}({\alpha }_s{v}^2)$ correction to $J/\psi$ plus ${\eta }_c$ production in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=10.6GeV

Abstract

Based on the nonrelativistic QCD factorization approach, $\mathcal{O}({\alpha }_s{v}^2)$ corrections to $\jpsi$ plus ${\eta }_c$ production in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=10.6 \gev$ is calculated in this work. The numerical results show that the correction at ${\alpha }_s{v}^2$ order is only about a few percent for the total theoretical result. It indicates that the perturbative expansions for the theoretical prediction become convergence and higher order correction will be smaller. The uncertainties from the long-distance matrix elements, renormalization scale and the measurement in experiment are also discussed. Our result is in agreement with previous result in ref [1].

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Cited by in corpus (12)

• Relativistic Correction to J/psi and Upsilon Pair Production
• ${\alpha }_s{v}^2$ corrections to ${\eta }_c$ and ${\chi }_{cJ}$ production recoiled with a photon at $e^{+}{e}^{-}$ colliders
• 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
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• One-loop corrections to the processes $e^{+}{e}^{-}\to \gamma ,Z\to J/\psi {\eta }_c$ and $e^{+}{e}^{-}\to Z\to J/\psi J/\psi$
• Associated charmonium-bottomonium production in a single boson $e^{+}{e}^{-}$ annihilation
• Photoproduction of the double $J/\psi$ (${\rm Y}$) at the LHC with forward proton tagging
• Analyzing the semileptonic and nonleptonic $B_c\to J/\psi ,{\eta }_c$ decays
• Relativistic corrections to ${\rm Y}$ exclusive decay into double $S-$wave charmonia
• Next-to-next-to-leading-order QCD corrections to double $J/\psi$ production at the $B$ factories
• Some recent progress in understanding exclusive double charmonium production at $B$ factories