Determination ofαsfrom the QCD static energy

Determination of α_{s} from the QCD static energy

Precision determination of r₀ΛMS from the QCD static energy.

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 r₀ΛMS by comparison with available lattice data, where r₀ is the lattice scale and ΛMS is the QCD scale. We obtain r₀ΛMS=0.637(+0.032)(-0.030) [corrected] for the zero-flavor case. The procedure we describe can be directly used to obtain r₀Λ...

The QCD static energy at short distances

I review the status of the calculations of the QCD static energy at short distances, including renormalization group and renormalon analysis. Applications to heavy quarkonium physics are briefly discussed. c Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

The logarithmic contribution to the QCD static energy at NLO

Using pNRQCD and known results for the field strength correlator, we calculate the ultrasoft contribution to the QCD static energy of a quark-antiquark pair at short distances at N4LO in αs. At the same order, this provides the logarithmic terms of the singlet static potential in pNRQCD and the logαs terms of the static energy.

Determination of the relativistic corrections to the static inter-quark potential from lattice QCD

We investigate the relativistic corrections to the static potential, i.e. the O(1/m) potential and the O(1/m2) spin-dependent potentials, in SU(3) lattice gauge theory. Utilizing the multilevel algorithm, we obtain a very clean signal for these potentials in the region 0.25 fm . r . 1.2 fm. We confirm long-range nonperturbative contributions in the O(1/m) potential and O(1/m2) spinorbit potenti...