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.Comment: 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 200