Effective heavy-light meson energies in small-volume quenched QCD

We study effective energies of heavy-light meson correlation functions inlattice QCD and a small volume of (0.2 fm)^4 to non-perturbatively calculatetheir dependence on the heavy quark mass in the continuum limit. Our quenchedresults obtained here constitute an essential intermediate step of a firstfully non-perturbative computation of the b-quark's mass in the staticapproximation that has recently been presented as an application of a newproposal to non-perturbatively renormalize the Heavy Quark Effective Theory.The renormalization constant and the improvement coefficients relating therenormalized current and subtracted quark mass are determined in the relevantparameter region at weak couplings, which allows to perform the numericalsimulations at several, precisely fixed values of the renormalization groupinvariant heavy quark mass in a range from 3 GeV to 15 GeV.Comment: 24 pages including figures and tables, latex2e; version published in JHEP, small additions, results unchange