Accurate Determinations of $\alpha_s$ from Realistic Lattice QCD
  We obtain a new value for the QCD coupling constant by combining lattice QCD simulations with experimental data for hadron masses. Our lattice analysis is the first to: 1) include vacuum polarization effects from all three light-quark flavors (using MILC configurations); 2) include third-order terms in perturbation theory; 3) systematically estimate fourth and higher-order terms; 4) use an unambiguous lattice spacing; and 5) use an $\order(a^2)$-accurate QCD action. We use 28~different (but related) short-distance quantities to obtain $\alpha_{\bar{\mathrm{MS}}}^{(5)}(M_Z) = 0.1170(12)$. 
Q. Mason, H.D. Trottier, C.T.H. Davies, K. Foley, A. Gray, G. P.   Lepage, M. Nobes, J. Shigemitsu