Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c

Abstract

It has been suggested in Ref. [A. E. Bondar and V. L. Chernyak, Phys. Lett. B 612, 215 (2005)] that the disagreement between theoretical calculations and experimental observations for the rate for the process e+ e- -> J/psi + eta_c at the B factories might be resolved by using the light-cone method to take into account the relative momentum of the heavy-quark and antiquark in the quarkonia. The light-cone result for the production cross section in Ref. [A. E. Bondar and V. L. Chernyak, Phys. Lett. B 612, 215 (2005)] is almost an order of magnitude larger than existing NRQCD factorization results. We investigate this apparent theoretical discrepancy. We compute light-cone distribution functions by making use of quarkonium wave functions from the Cornell potential model. Our light-cone distribution functions are similar in shape to those of Ref. [A. E. Bondar and V. L. Chernyak, Phys. Lett. B 612, 215 (2005)] and yield a similar cross section. However, when we subtract parts of the light-cone distribution functions that correspond to corrections of relative-order alpha_s in the NRQCD approach, we find that the cross section decreases by about a factor of three. When we set certain renormalization factors Z_i in the light-cone calculation equal to unity, we find a further reduction in the cross section of about a factor of two. The resulting light-cone cross section is similar in magnitude to the NRQCD factorization cross sections and shows only a modest enhancement over the light-cone cross section in which the relative momentum of the heavy-quark and antiquark is neglected.

arXiv comment39 pages, 7 eps figures, typos corrected, references updated, version published in Phys. Rev. D

References in corpus (22)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Asymptotic expansion of Feynman integrals near threshold
• Potential NRQCD: an effective theory for heavy quarkonium
• QCD forces and heavy quark bound states
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into a Virtual Photon
• Measurement of Double Charmonium Production in $e^{+}{e}^{-}$ Annihilations at $\sqrt{s}=10.6$ GeV
• Next-to-Leading Order QCD Correction to ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi }+{\mathbf{\eta }}_{\mathbf{c}}$ at $\sqrt{s}=10.6$GeV}
• Problems of Double Charm Production in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=10.6$ GeV
• Is the BELLE result for the cross section e+e- -> J/psi+eta_c a real difficulty for QCD ?
• Order-v^4 Corrections to S-wave Quarkonium Decay
• Fragmentation, NRQCD and NNLO Factorization Analysis in Heavy Quarkonium Production
• Study of double charmonium production in e^+ e^- annihilation at \sqrt{s} ~ 10.6 GeV
• The Running Coupling from SU(3) Lattice Gauge Theory
• Fragmentation, Factorization and Infrared Poles in Heavy Quarkonium Production
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Predictions for $e^{+}{e}^{-}\to J/\psi {\eta }_c$ with Light-Cone Wave-Functions
• Light Quark Masses from Lattice QCD
• Excited charmonium mesons production in e^+e^- annihilation at \sqrt{s}=10.6 GeV
• NRQCD Factorization and Velocity-dependence of NNLO Poles in Heavy Quarkonium Production
• The processes $e^{+}{e}^{-}\to J/\Psi {\chi }_{c0},\Psi (2S){\chi }_{c0}$ at $\sqrt{s}=10.6$GeV in the framework of light cone formalism
• Quenched KS light hadron mass at β=6.5 on a 64\times 48^3 lattice
• NRQCD: Fundamentals and Applications to Quarkonium Decay and Production

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