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We review the direct measurements of the top quark mass Mt
using the sample of
events collected by the DØ and CDF experiments at Fermilab. Measurements
using events in the lepton plus jets, dilepton, and all-hadronic
decay modes are reviewed, as is the combination of the results to yield the
current world average Mt = 174.3 ± 3.2 (stat.)
± 4.0 (syst.) GeV/c2. We close by estimating the
precision attainable with future data sets at Fermilab and the Large Hadron
Collider.
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