Quark Fragmentation into 3PJ Quarkonium
Abstract
We calculate the functions of parton fragmentation into 3PJ quarkonium at order αs 2, where the parton can be a heavy or light quark. The obtained functions explicitly satisfy the Altarelli-Parisi equation and they are divergent, behaving as z-1 near z=0. However, if one choses the renormalization scale as twice of the heavy quark mass, the fragmentation functions are regular over the whole range of z.
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