Determination of α_{s} from the QCD static energy

Bazavov, Alexei; Brambilla, Nora; Garcia i Tormo, Xavier; Petreczky, Péter; Soto, Joan; Vairo, Antonio (2012). Determination of α_{s} from the QCD static energy. Physical review. D - particles, fields, gravitation, and cosmology, 86(11), pp. 1-8. Melville, N.Y.: American Physical Society 10.1103/PhysRevD.86.114031

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We compare lattice data for the short-distance part of the static energy in 21 flavor quantum chromodynamics (QCD) with perturbative calculations, up to next-to-next-to-next-to leading-logarithmic accuracy. We show that perturbation theory describes very well the lattice data at short distances, and exploit this fact to obtain a determination of the product of the lattice scale r0 with the QCD scale ΛMS. With the input of the value of r0, this provides a determination of the strong coupling αs at the typical distance scale of the lattice data. We obtain αs1.5  GeV0.3260.019, which provides a novel determination of αs with three-loop accuracy (including resummation of the leading ultrasoft logarithms), and constitutes one of the few low-energy determinations of αs available. When this value is evolved to the Z-mass scale MZ, it corresponds to αsMZ0.11560.00220.0021.

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