$O({\alpha }_s{v}^2)$ correction to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ at $B$ factories

Abstract

We investigate the $\mathcal{O}({\alpha }_s{v}^2)$ correction to the $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ process in the nonrelativistic QCD (NRQCD) factorization approach. Within some reasonable choices of the relative order-$v^2$ NRQCD matrix elements, we find that including this new ingredient of correction only mildly enhances the existing NRQCD predictions. We have also deduced the asymptotic expressions for the $\mathcal{O}({\alpha }_s{v}^2)$ short-distance coefficients, and reconfirm the early speculation that at next-to-leading order in ${\alpha }_s$, the double logarithm of type ${\ln }^2(s/m_c^2)$ appearing in various NRQCD short-distance coefficients is always associated with the helicity-suppressed channels.

v3, 6 pages, 2 figures, 1 table; matching the published version

References in corpus (10)

• Heavy quarkonium: progress, puzzles, and opportunities
• Algorithm FIRE -- Feynman Integral REduction
• 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
• $O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium
• Factorization theorems for exclusive heavy-quarkonium production
• Relativistic description of the double charmonium production in $e^{+}{e}^{-}$ annihilation
• Possible contributions to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ due to intermediate meson rescatterings

Cited by in corpus (6)

• Next-to-leading order QCD corrections to paired $B_c$ production in $e^{+}{e}^{-}$ annihilation
• Exclusive double $B_c$ meson production from $e^{+}{e}^{-}$ annihilation into two virtual photons
• 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
• Double Logarithms in $e^{+}{e}^{-}\to J/\psi +{\eta }_c$
• Reconciling the nonrelativistic QCD prediction and the $J/\psi \to 3\gamma$ data
• 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