1006.2066 (Nora Brambilla et al.)

Precision determination of r_0Lambda_MS from the QCD static energy    [PDF]

Nora Brambilla, Xavier Garcia i Tormo, Joan Soto, Antonio Vairo

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.

View original: http://arxiv.org/abs/1006.2066