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Physical Review D

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Color-singlet contribution to $e^{+} e^{-} \to J / ψ + X$ at the endpoint

Adam K. Leibovich^* and Xiaohui Liu^†

Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA

^*akl2@pitt.edu
^†xil41@pitt.edu

Phys. Rev. D 76, 034005 – Published 7 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.034005

Abstract

Recent observations of the $J / ψ$ spectrum produced in $e^{+} e^{-}$ collisions at the $Υ (4 S)$ resonance are in conflict with fixed-order calculations using the nonrelativsitic QCD effective theory (NRQCD). One problem is an enhancement in the cross section when the $J / ψ$ has maximal energy, due to large perturbative corrections (Sudakov logarithms). In a recent paper, the Sudakov logarithms in the color-octet contribution were summed by combining NRQCD with the soft-collinear effective theory. However, to be consistent, the color-singlet contributions must also be summed in the endpoint region which was not done in that paper. In this paper, we sum the leading logarithms in the color-singlet contribution to the $J / ψ$ production cross section. We find that the color-singlet cross section is suppressed near the endpoint compared to the fixed-order NRQCD prediction.

Article Text

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