We compute the so called residual mass in Lattice Heavy Quark Effective
Theory to alpha^3 order in the n_f=2 (unquenched) case. The control of this
additive mass renormalization is crucial for the determination of the heavy
quark mass from lattice simulations. We discuss the impact on an unquenched
determination of the b-quark mass.Comment: Lattice2004(heavy), 3 pages, 1 figur