Recent Progress on Perturbative QCD Fragmentation Functions

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The recent development of perturbative QCD (PQCD) fragmentation functions has strong impact on quarkonium production. I shall summarize $B_c$ meson production based on these PQCD fragmentation functions, as well as, the highlights of some recent activities on applying these PQCD fragmentation functions to explain anomalous $J/ψ$ and $ψ'$ production at the Tevatron. Finally, I discuss a fragmentation model based on the PQCD fragmentation functions for heavy quarks fragmenting into heavy-light mesons.
13 pages and 6 Postscript figures, Standard LaTeX. Complete Postscript version can be found at http://www.ph.utexas.edu/~cheung/paper/hopkin/hopkin-hep.ps.gz Invited talk at PASCOS/HOPKINS 1995 Symposium, Johns Hopkins University, Baltimore, Maryland, March 22--25, 1995

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