Kinematic Effects in Radiative Quarkonia Decays

Details Kinematic Effects in Radiative Quarkonia Decays Kinematic Effects in Radiative Quarkonia Decays

2000-10-19

arxiv.org/abs/hep-ph/0010217v1

Phys.Rev. D63 (2001) 074020

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 17 pages, 5 figures. The complete paper is also available via the www at http://www-ttp.physik.uni-karlsruhe.de/Preprin

Scientific paper

10.1103/PhysRevD.63.074020

Non-relativistic QCD (NRQCD) predicts colour octet contributions to be significant not only in many production processes of heavy quarkonia but also in their radiative decays. We investigate the photon energy distributions in these processes in the endpoint region. There the velocity expansion of NRQCD breaks down which requires a resummation of an infinite class of colour octet operators to so-called shape functions. We model these non-perturbative functions by the emission of a soft gluon cluster in the initial state. We found that the spectrum in the endpoint region is poorly understood if the values for the colour octet matrix elements are taken as large as indicated from NRQCD scaling rules. Therefore the endpoint region should not be taken into account for a fit of the strong coupling constant at the scale of the heavy quark mass.

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