Abstract
We use lattice QCD simulations, with MILC configurations (including vacuum polarization from $u$, $d$, and $s$ quarks), to update our previous determinations of the QCD coupling constant. Our new analysis uses results from 6 different lattice spacings and 12 different combinations of sea-quark masses to significantly reduce our previous errors. We also correct for finite-lattice-spacing errors in the scale setting, and for nonperturbative chiral corrections to the 22 short-distance quantities from which we extract the coupling. Our final result is ${\ensuremath{\alpha}}_{V}(7.5\text{ }\text{ }\mathrm{GeV},{n}_{f}=3)=0.2120(28)$, which is equivalent to ${\ensuremath{\alpha}}_{\overline{\mathrm{MS}}}({M}_{Z},{n}_{f}=5)=0.1183(8)$. We compare this with our previous result from Wilson loops, which differs by one standard deviation.
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