# Strong Running Coupling from the Gauge Sector of Domain Wall Lattice QCD with Physical Quark Masses

Zafeiropoulos, S. (Institute for Theoretical Physics, Heidelberg University, Philosophenweg 12, 69120 Heidelberg, Germany) ; Boucaud, Ph. (Laboratoire de Physique Théorique (UMR8627), CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France) ; De Soto, F. (Dpto. Sistemas Físicos, Químicos y Naturales, Univ. Pablo de Olavide, 41013 Sevilla, Spain) (CAFPE, Universidad de Granada, E-18071 Granada, Spain) ; Rodríguez-Quintero, J. (Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, E-21071 Huelva, Spain) (CAFPE, Universidad de Granada, E-18071 Granada, Spain) ; Segovia, J. (Dpto. Sistemas Físicos, Químicos y Naturales, Univ. Pablo de Olavide, 41013 Sevilla, Spain) (CAFPE, Universidad de Granada, E-18071 Granada, Spain)

02 May 2019

Abstract: We report on the first computation of the strong running coupling at the physical point (physical pion mass) from the ghost-gluon vertex, computed from lattice simulations with three flavors of domain wall fermions. We find ${\alpha }_{\overline{\mathrm{MS}}}\left({m}_{Z}^{2}\right)=0.1172\left(11\right)$, in remarkably good agreement with the world-wide average. Our computational bridge to this value is the Taylor-scheme strong coupling, which has been revealed of great interest by itself because it can be directly related to the quark-gluon interaction kernel in continuum approaches to the QCD bound-state problem.

Published in: Physical Review Letters 122 (2019)