Matching perturbative and non-perturbative physics with power accuracy in heavy-quark effective theory

I discuss a scheme to match perturbative and non-perturbative physics with power accuracy in the heavy-quark effective theory. I elaborate on two important aspects of the scheme: 1) a multi-loop subtraction of soft contributions from the perturbation series in the pole mass, 2) a perturbative regularization of the linearly-divergent heavy-quark self-energy in the lattice formulation of the heavy-quark effective theory