Progress in bottom-quark fragmentation

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I review recent progress on bottom-quark fragmentation in e+e- annihilation, top-quark decay and H -> b bbar processes. I discuss the implementation of collinear and soft resummation, and the inclusion of non-perturbative information taken from LEP and SLD data.
7 pages, 5 figures. Talk given at 18th International Workshop on High Energy Physics and Quantum Field Theory (QFTHEP 2004), St.Petersburg, Russia, 17-23 June 2004

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