A Precise Determination of $α_s$ from Lattice QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages (LaTeX), OHSTPY-HEP-T-94-013, FSU-SCRI-94-79 (includes minor corrections in tables, additional references)

Scientific paper

10.1016/0370-2693(94)01598-7

We present a new determination of the QCD strong coupling constant based on precise lattice calculations of the $\Upsilon$ spectrum. The largest systematic uncertainty in previous such determinations resulted from the absence of vacuum polarization from light quarks. We substantially reduce this error by including two flavors of dynamical light quarks and extrapolating to three. We find $\alphathree_\V(8.2~\GeV) = 0.196(3)$ for three light flavors, corresponding to $\alphafive_\msbar(M_Z) = 0.115(2)$. This is significantly more accurate than previous determinations using this or any other technique.

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