Quarkonium momentum distributions in photoproduction and B decay
arXiv:hep-ph/0001062 · doi:10.1103/PhysRevD.62.034004
Abstract
According to our present understanding many production processes proceed through a coloured state followed by the emission of soft particles in the quarkonium rest frame. The kinematic effect of soft particle emission is usually a higher-order effect in the non-relativistic expansion, but becomes important near the kinematic endpoint of quarkonium energy (momentum) distributions. In an intermediate region a systematic resummation of the non-relativistic expansion leads to the introduction of so-called `shape functions'. In this paper we provide an implementation of the kinematic effect of soft gluon emission which is consistent with the non-relativistic shape function formalism in the region where it is applicable and which models the extreme endpoint region. We then apply the model to photoproduction of and production in meson decay. A satisfactory description of decay data is obtained. For inelastic charmonium photoproduction we conclude that a sensible comparison of theory with data requires a transverse momentum cut larger than the currently used 1 GeV.
latex, 45 pages; (v2) some typos corrected, version to appear in PRD
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