${\alpha }_S$ from Lattice QCD: progresses and perspectives for a realistic full-QCD determination of the running Strong coupling

Abstract

Some very recent computations of ${\alpha }_{\overline{\mathrm{MS}}}(M_Z)$ from $N_f=1+1$ lattice simulations and of the running of the Strong coupling, obtained from the lattice ghost-gluon vertex, over a large momentum window are very briefly reviewed.

Comments: Oral contribution to the 35th ICHEP; Paris, July 22-28, 2010