Heavy Quark Effective Theory computation of the mass of the bottom quark

We present a fully non-perturbative computation of the mass of the b-quark in the quenched approximation. Our strategy starts from the matching of HQET to QCD in a finite volume and finally relates the quark mass to the spin averaged mass of the $\rm B_\mrm{s}$ meson in HQET. All steps include the terms of order $\Lambda^2/\mbeauty$.