A two-loop application of the threshold expansion: the bottom quark mass from $b\bar{b}$ production

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We use the threshold expansion and non-relativistic effective theory to determine the bottom quark mass from moments of the $b\bar{b}$ production cross section at next-to-next-to-leading order in the (resummed) perturbative expansion, and including a summation of logarithms. For the $\bar{\rm MS}$ mass $\bar{m}_b$, we find $\bar{m}_b(\bar{m}_b)=(4.26\pm 0.12)$ GeV.
12 pages, LaTeX, 2 figures. Talk presented at RADCOR98, Barcelona, September, 1998. The numerical analysis is superseded by hep-ph/9906475. Provides more details on the calculation

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