%0 Journal Article %T The mass of the b-quark from lattice NRQCD and lattice perturbation theory %A A. J. Lee %A C. J. Monahan %A R. R. Horgan %A C. T. H. Davies %A R. J. Dowdall %A J. Koponen %J Physics %D 2013 %I arXiv %R 10.1103/PhysRevD.87.074018 %X We present a determination of the b-quark mass accurate through O(\alpha_s^2) in perturbation theory and including partial contributions at O(\alpha_s^3). Nonperturbative input comes from the calculation of the Upsilon and B_s energies in lattice QCD including the effect of u, d and s sea quarks. We use an improved NRQCD action for the b-quark. This is combined with the heavy quark energy shift in NRQCD determined using a mixed approach of high-beta simulation and automated lattice perturbation theory. Comparison with experiment enables the quark mass to be extracted: in the MS bar scheme we find m_b(m_b) = 4.166(43) GeV. %U http://arxiv.org/abs/1302.3739v2