Paper
Gluon Fragmentation into Heavy Quarkonium
Authors
Eric Braaten, Tzu Chiang Yuan
Abstract
The dominant production mechanism for heavy quark-antiquark bound states in very high energy processes is fragmentation, the splitting of a high energy parton into a quarkonium state and other partons. We show that the fragmentation functions describing these processes can be calculated using perturbative QCD. We calculate the fragmentation functions for a gluon to split into S-wave quarkonium states to leading order in the QCD coupling constant. The leading logarithms of , where is the factorization scale and is the heavy quark mass, are summed up using Altarelli-Parisi evolution equations.