F. Karbstein,
M. Wagner,
and M. Weber
Determination of ΛMSbar (nf=2) and analytic parametrization of the static quark-antiquark potential
Phys. Rev. D, 98 :114506 (December 2018)
Determination of ΛMSbar (nf=2) and analytic parametrization of the static quark-antiquark potential
Phys. Rev. D, 98 :114506 (December 2018)
Abstract:
While lattice QCD allows for reliable results at small momentum transfers (large quark separations), perturbative QCD is restricted to large momentum transfers (small quark separations). The latter is determined up to a reference momentum scale Λ, which is to be provided from outside, e.g., from experiment or lattice QCD simulations. In this article, we extract ΛMSbar for QCD with nf=2 dynamical quark flavors by matching the perturbative static quark-antiquark potential in momentum space to lattice results in the intermediate momentum regime, where both approaches are expected to be applicable. In a second step, we combine the lattice and the perturbative results to provide a complete analytic parametrization of the static quark-antiquark potential in position space up to the string breaking scale. As an exemplary phenomenological application of our all-distances potential, we compute the bottomonium spectrum in the static limit.