$\mathcal{O}({\alpha }_s)$ corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_{c2}({\chi }_{c1}^{\prime })$ at $B$ factories

Abstract

We investigate the $\mathcal{O}({\alpha }_s)$ correction to $e^{+}{e}^{-}\to J/\psi +{\eta }_{c2}$ in the NRQCD factorization approach. A detailed comparative study between $e^{+}{e}^{-}\to J/\psi +{\eta }_{c2}$ and $e^{+}{e}^{-}\to J/\psi +{\chi }_{c1}^{\prime }$ at $B$ factory energy is also carried out. After incorporating the $\mathcal{O}({\alpha }_s)$ correction, we predict the cross section for the former process to be around 0.3 fb, while that of the latter about 6 times greater. The outgoing $J/\psi$ is found to be dominantly transversely-polarized in the former process, while longitudinally-polarized in the latter. These features may provide valuable guidance for the future experiment to examine the ${}^3{P}_1$ or ${}^1{D}_2$ charmonium option of the X(3872) meson through the exclusive double-charmonium production processes. The observation potential of $e^{+}{e}^{-}\to J/\psi +{\chi }_{c1}^{\prime }$ looks bright for the current data sample of the \textsc{Belle} experiment, provided that the ${\chi }_{c1}^{\prime }$ is indeed the narrow X(3872) state. In the appendix, we also identify the coefficients of the double logarithms of form ${\ln }^2(s/m_c^2)$ associated with all the relevant next-to-leading order Feynman diagrams, for the helicity-suppressed double-charmonium production channels $e^{+}{e}^{-}\to J/\psi +{\eta }_{c2}({\eta }_c,{\chi }_{c0,1,2})$.

18 pages, 6 figures, 4 tables

References in corpus (21)

• Heavy quarkonium: progress, puzzles, and opportunities
• Algorithm FIRE -- Feynman Integral REduction
• Determination of the X(3872) meson quantum numbers
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
• $Apart: A Generalized Mathematica Apart Function
• 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
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Measurement of the e+e- -> J/psi ccbar cross section at \sqrt{s} ~10.6 GeV
• NRQCD Factorization for Twist-2 Light-Cone Wave-Functions of Charmonia
• Lattice study on ${\eta }_{c2}$ and X(3872)
• $O({\alpha }_s{v}^2)$ correction to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ at $B$ factories
• X(3872) as a 1D2 charmonium state
• Refactorizing NRQCD short-distance coefficients in exclusive quarkonium production
• Factorization theorems for exclusive heavy-quarkonium production
• Exclusive $et{a}_b$ decay to double $J/\psi$ at next-to-leading order in $alph{a}_s$
• Exclusive Double Charmonium Production from ${\rm Y}$ Decay
• Hyperfine splitting and the experimental candidates for η_b(2S)
• Double Logarithms in $e^{+}{e}^{-}\to J/\psi +{\eta }_c$

Cited by in corpus (1)

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