A low-energy determination of ${\alpha }_s$ at three loops

Abstract

We review one of the most accurate low-energy determinations of ${\alpha }_s$. Comparing at short distances the QCD static energy at three loops and resummation of the next-to-next-to leading logarithms with its determination in 2+1-flavor lattice QCD, we obtain ${\alpha }_s(1.5\mathrm{GeV})=0.336_{-0.008}^{+0.012}$, which corresponds to ${\alpha }_s(M_Z)=0.1166_{-0.0008}^{+0.0012}$. We discuss future perspectives.

Comments: 9 pages, 8 figures, 4th International Conference on New Frontiers in Physics, Crete, August 2015 and XLV International Symposium on Multiparticle Dynamics, Wildbad Kreuth, October 2015