Quarkonium production: velocity-scaling rules and long-distance matrix elements

Details Quarkonium production: velocity-scaling rules and long-distance matrix elements Quarkonium production: velocity-scaling rules and long-distance matrix elements

1997-02-03

arxiv.org/abs/hep-ph/9702230v1

Int.J.Mod.Phys.A12:3951-3964,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, Latex, uses 12pt.sty and epsfig.sty, 2 figures

Scientific paper

10.1142/S0217751X97002103

The hierarchy of long-distance matrix elements (MEs) for quarkonium production depends on their scaling with the velocity $v$ of the heavy quark in the bound state. Ranges for the velocities in various bound states and uncertainties of colour-singlet MEs are estimated in a quark-potential model. Different possibilities for the scaling with $v$ of the MEs are discussed; they depend on the actual values of $v$ and the QCD scale. As an application, J/psi polarization in e^+e^- annihilation is discussed. The first non-perturbative estimates of colour-octet MEs are presented and compared with phenomenological determinations. Finally, various predictions of prompt quarkonium production at LEP are compared.

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