Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-05-10
Phys.Lett. B408 (1997) 373-380
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex 13 pages
Scientific paper
10.1016/S0370-2693(97)00832-0
In this letter we address issues involved in quarkonium production near the boundaries of phase space. It is shown that higher-order non-perturbative contributions are enhanced in this kinematic region and lead to a breakdown of the non-relativistic (NRQCD) expansion. This breakdown is a consequence of sensitivity to the kinematics of soft gluon radiation and to the difference between partonic and hadronic phase space. We show how these large corrections can be resummed giving the dominant contribution to the cross section. The resummation leads to the introduction of non-perturbative, universal distribution functions. We discuss the importance of these shape functions for several observables, in particular the energy distribution of photo-produced $J/\psi$ close to the endpoint.
Beneke Martin
Rothstein Ira Z.
Wise Mark B.
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