QCD corrections to e^+ e^- to J/ψ(ψ(2S))+χ_{cJ} (J=0,1,2) at B Factories

Abstract

We analytically calculate the cross sections of double charmonium production in $e^{+}{e}^{-}\to J/\psi (\psi (2S)){\chi }_{cJ}$ (J=0,1,2) at next-to-leading order (NLO) in ${\alpha }_s$ in nonrelativistic QCD, and confirm factorization of these processes. In contrast to ${\chi }_{c0}$ production, for which the NLO correction is large and positive, the NLO corrections for ${\chi }_{c1,2}$ production can be negative, resulting in decreased $K$ factors of 0.91 and 0.78 for J=1 and 2 respectively when $\mu =2m_c$. Consequently, the NLO QCD corrections markedly enlarge the difference between cross sections of ${\chi }_{c0}$ and ${\chi }_{c1,2}$. This may explain why $e^{+}{e}^{-}\to J/\psi (\psi (2S)){\chi }_{c0}$ but not $e^{+}{e}^{-}\to J/\psi (\psi (2S)){\chi }_{c1,2}$ is observed experimentally. Moreover, for $J/\psi (\psi (2S)){\chi }_{c1,2}$, the NLO QCD corrections substantially reduce the $\mu$ dependence and lead to predictions with small theoretical uncertainties.

Version published in PRD, 6 pages, 3 figures, 2 tables, one reference added

References in corpus (24)

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• Double charm production e^+ e^- \to J/ψ+ c \bar{c} at B factories with next-to-leading order QCD corrections
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• Potential-model calculation of an order-v^2 NRQCD matrix element
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• Relativistic effects in the production of pseudoscalar and vector doubly heavy mesons from e^+e^- annihilation
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• Perturbative QCD analysis of exclusive J/ψ+η_c production in e^+e^- annihilation
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Cited by in corpus (23)

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• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• Pair double heavy diquark production in high energy proton-proton collisions
• $J/\psi +{\chi }_{cJ}$ Production at the $B$ Factories under the Principle of Maximum Conformality
• QCD leading order study of the $J/\psi$ leptoproduction at HERA within the nonrelativistic QCD framework
• Exclusive decay of ${\rm Y}$ into $J/\psi +{\chi }_{c0,1,2}$
• Search for double charmonium decays of the P-wave spin-triplet bottomonium states
• Next-to-leading order QCD corrections for the charmonium production via the channel $e^{+}{e}^{-}\to H(|c\bar{c}⟩)+\gamma$ round the $Z^0$ peak
• Evidence of ${\rm Y}(1S)\to J/\psi +{\chi }_{c1}$ and search for double-charmonium production in ${\rm Y}(1S)$ and ${\rm Y}(2S)$ decays
• 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
• 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
• NLO corrections to ${\chi }_{bJ}$ to two-$J/\psi$ exclusive decay processes
• Photoproduction of the double $J/\psi$ (${\rm Y}$) at the LHC with forward proton tagging
• Statistical analysis of the azimuthal asymmetry in the $J/\psi$ leptoproduction in unpolarized $ep$ collisions
• Next-to-next-to-leading-order QCD corrections to double $J/\psi$ production at the $B$ factories
• NLO QCD Corrections to ${\eta }_c+h_c(1P)/{\psi }_{1,2}(1D)$ Production at B-factories
• NLO QCD Corrections for ${\chi }_{cJ}$ Inclusive Production at $B$ Factories
• Heavy quarkonium decay $V\to ggg$ with both relativistic and QCD radiative corrections
• $\mathcal{O}({\alpha }_s)$ corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_{c2}({\chi }_{c1}^{\prime })$ at $B$ factories
• $X(3860)$ production in association with $J/\psi$ via $e^{+}{e}^{-}$ annihilation at Belle