We use the recently obtained theoretical expression for the complete QCD static energy at next-to-next-to-next-to leading-logarithmic accuracy to determine r_0Lambda_MS by comparison with available lattice data, where r_0 is the lattice scale and Lambda_MS is the QCD scale. We obtain r_0Lambda_MS=0.637^{+0.032}_{-0.030} for the zero-flavor case. The procedure we describe can be directly used to obtain r_0Lambda_MS in the unquenched case, when unquenched lattice data for the static energy at short distances becomes available. Using the value of the strong coupling alpha_s as an input, the unquenched result would provide a determination of the lattice scale r_0.
@article{arxiv.1006.2066,
title = {Precision determination of r_0Lambda_MS from the QCD static energy},
author = {Nora Brambilla and Xavier Garcia i Tormo and Joan Soto and Antonio Vairo},
journal= {arXiv preprint arXiv:1006.2066},
year = {2012}
}
Comments
5 pages, 2 figures. v2: Minor changes. One reference added. Journal version. v3: Mistake in the numerical implementation corrected. v4: Abstract in metadata corrected