Precision determination of r_0Lambda_MS from the QCD static energy

Details Precision determination of r_0Lambda_MS from the QCD static energy Precision determination of r_0Lambda_MS from the QCD static energy

2010-06-10

arxiv.org/abs/1006.2066v2

Phys.Rev.Lett.105:212001,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 2 figures. v2: Minor changes. One reference added. Journal version

Scientific paper

10.1103/PhysRevLett.105.212001

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=0.622^{+0.019}_{-0.015} 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.

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