Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-04-10
Phys.Rev.D53:1185-1190,1996
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages+2 Figs, postscript file format, uuencoded and compressed
Scientific paper
10.1103/PhysRevD.53.1185
We calculate the functions of parton fragmentation into $^3P_J$ quarkonium at order $\alpha_s ^2$, 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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