Do quark masses run?

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The importance of measuring the b-quark mass at different scales is emphasized. The recent next-to-leading order calculation of three jet heavy quark production at LEP and its use to measure $m_b(m_Z)$ is discussed.
Talk given in the workshop Valencia97 "Physics Beyond the Standard Model", Oct 13-17, 1997, 7 pages, LaTeX with sprocl.sty

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