Accurate Determinations of $α_s$ from Realistic Lattice QCD

Physics – High Energy Physics – High Energy Physics - Lattice

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4 pages, 2 figures, 1 table. The revised version differs from the original because we now use 4-loop beta functions (rather th

Scientific paper

10.1103/PhysRevLett.95.052002

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 $\alpha_{\bar{\mathrm{MS}}}^{(5)}(M_Z) = 0.1170(12)$.

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