Next-to-next-to-leading-order QCD corrections to double $J/\psi$ production at the $B$ factories

Abstract

In this paper, we study the next-to-next-to-leading-order (NNLO) QCD corrections for the process $e^{+}{e}^{-}\to J/\psi +J/\psi$ at the $B$ factories. By including the NNLO corrections, the cross section turns negative due to the poor convergence of perturbative expansion. Consequently, to obtain a reasonable estimation for the cross section, the square of the amplitude up to NNLO is used. In addition, the contributions from the bottom quark and the light-by-light part, which are usually neglected, are also included. The final cross section is obtained as $1.76_{-1.66}^{+2.42}\mathrm{fb}$ at a center-of-mass energy of $\sqrt{s}=10.58$ GeV. Our result for total cross section and differential cross section could be compared with precise experimental measurement in future at the $B$ factories.

arXiv comment15 pages, 3 figures, matches published version

References in corpus (48)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• New Developments in FeynCalc 9.0
• Quarkonium Wave Functions at the Origin
• Integral Reduction with Kira 2.0 and Finite Field Methods
• Version 3 of {\tt RunDec} and {\tt CRunDec}
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• A Systematic and Efficient Method to Compute Multi-loop Master Integrals
• Two-loop Correction to the Leptonic Decay of Quarkonium
• Two-loop QCD corrections to the heavy quark pair production cross section in e+e- annihilation near the threshold
• QCD Corrections to Inelastic $J/\psi$ Photoproduction
• Problems of Double Charm Production in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=10.6$ GeV
• Potential model calculations and predictions for heavy quarkonium
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Heavy-quark production in gluon fusion at two loops in QCD
• Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections
• Heavy-quark production in massless quark scattering at two loops in QCD
• Exclusive J/ψProductions at e^+ e^- Colliders
• Properties of $Q\bar{Q}$ mesons in non-relativistic QCD formalism
• Resummation of Relativistic Corrections to e+ e- -> J/psi+eta_c
• Multiloop corrections for collider processes using auxiliary mass flow
• Determining Feynman integrals with only input from linear algebra
• e^+ e^- Annihilation into J/psi + J/psi
• Light quark mass effects in the on-shell renormalization constants
• Charmonium decays: J/psi --> e+e- and eta_c --> gamma gamma
• Factorization and NLO QCD correction in e^+ e^- \to J/ψ(ψ(2S))+ χ_{c0} at B Factories}
• Leptonic decay of the Upsilon(1S) meson at third order in QCD
• QCD corrections to double J/ψproduction in e+e- annihilation at \sqrt{s}=10.6 GeV
• Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow
• Relativistic Corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ in a Potential Model
• $O({\alpha }_s{v}^2)$ correction to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ at $B$ factories
• Two-Loop Matching Coefficients for Heavy Quark Currents
• Quenched charmonium spectrum
• Exclusive Two-Vector-Meson Production from e^+ e^- Annihilation
• Exact results for $Z_m^{\mathrm{OS}}$ and $Z_2^{\mathrm{OS}}$ with two mass scales and up to three loops
• QCD corrections to e^+ e^- to J/ψ(ψ(2S))+χ_{cJ} (J=0,1,2) at B Factories
• Heavy Pair Production Currents with General Quantum Numbers in Dimensionally Regularized NRQCD
• $\overline{\mathrm{MS}}$ renormalization of $S$-wave quarkonium wavefunctions at the origin
• Wave Function Based Characteristics of Hybrid Mesons
• Higher Hybrid Bottomonia in an Extended Potential Model
• $J/\psi +{\chi }_{cJ}$ Production at the $B$ Factories under the Principle of Maximum Conformality
• $\mathcal{O}({\alpha }_s{v}^2)$ correction to $J/\psi$ plus ${\eta }_c$ production in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=10.6GeV
• Next-to-next-to-leading order matching of beauty-charmed meson $B_c$ and $B_c^{\ast }$ decay constants
• Next-to-next-to-leading-order QCD corrections to $J/\psi$ plus ${\eta }_c$ production at the $B$ factories
• Further studies on the exclusive productions of $J/\psi +{\chi }_{cJ}$ ($J=0,1,2$) via $e^{+}{e}^{-}$ annihilation at the $B$ factories
• Resummation of relativistic corrections to exclusive productions of charmonia in e+ e- collisions
• $\mathcal{O}({\alpha }_s^2)$ corrections to $J/\psi +{\chi }_{c0,1,2}$ production at $B$ factories
• Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the ${\rm Y}(1S)$ meson

Cited by in corpus (1)

• Automated event generation for S-wave quarkonium and leptonium production in NRQCD and NRQED