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Next-to-next-to-leading-order QCD corrections to $e^+e^-\to J/\psi+\eta_c$ at $B$ factories
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abstract
Within the nonrelativistic QCD (NRQCD) factorization framework, we compute the long-awaited ${\mathcal O}(\alpha_s^2)$ correction for the exclusive double charmonium production process at $B$ factories, {\it i.e.}, $e^+e^-\to J/\psi+\eta_c$ at $\sqrt{s}=10.58$ GeV. For the first time, we confirm that NRQCD factorization does hold at next-to-next-to-leading-order (NNLO) for exclusive double charmonium production. It is found that including the NNLO QCD correction considerably reduces the renormalization scale dependence, and also implies the reasonable perturbative convergence behavior for this process. Our state-of-the-art prediction is consistent with the BaBar measurement within errors.
Forward citations
Cited by 2 Pith papers
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Analytical two-loop amplitudes of $e^{+} e^{-} \longrightarrow \boldsymbol{J} / \boldsymbol{\psi}+\boldsymbol{\eta}_c$ at $B$ factories
The authors present the first analytical two-loop NRQCD amplitude for e+e- to J/psi+eta_c as an expansion in m_c^2/s, with cross-section predictions consistent (within uncertainties) with B-factory data.
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Revisiting relativistic corrections to inclusive $J/\psi$ production at B factories: Complete expansion for three-body quarkonium production
Full final-state kinematic expansion yields scheme-independent O(v²) corrections of about −14.6% (cc̄) and +12% (non-cc̄) for inclusive J/ψ at B factories, yet tension with Belle data remains.
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