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We review the current status of determinations of the b-quark mass,
mb. We describe the theoretical tools required for
determining mb, with particular emphasis on effective
field theories both in the continuum and on the lattice. We present several
definitions of mb and highlight their advantages and
disadvantages. Finally, we discuss the determinations of
mb from
systems, b-flavored hadrons, and high-energy processes, with careful
attention to the corresponding theoretical uncertainties.
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