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A lattice computation of the B-meson decay constant and the mass of theb-quark to leading order in the heavy quark effective theory is presented. Theinvolved renormalization problems are solved non-perturbatively, and thecontinuum limit is taken. In the quenched approximation the results reportedhere already offer an interesting numerical precision, which will be furtherimproved in the near future.Comment: Invited talk at International Europhysics Conference on High Energy  Physics, EPS-HEP2003, 17-23 July 2003, Aachen, Germany, 5 pages, 7 figures,  latex2e, uses epsfig, svjour and svep

A non-perturbative computation of the B-meson decay constant and the b-quark mass in HQET