Perturbative determination of O(am) improvement on the QCD running coupling
Journal
Physical Review D
Date Issued
October 17, 2025
Author(s)
DOI
10.1103/yyvs-6q5v
Abstract
We present the perturbative results of the discretization errors proportional to the quark mass [OðamÞ] on
the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the twoloop renormalization factor Zg using improved lattice actions for the SUðNcÞ gauge group and Nf
multiplets of fermions with a finite quark mass. We employ the background field method to compute Zg, by
calculating quantum corrections on both the background and quantum gluon propagator, respecting
the OðaÞ improvement. This allows us to evaluate the perturbative OðamÞ lattice errors which affect the
determination of the running coupling. Eliminating these OðamÞ effects is crucial for the nonperturbative
studies of precision determinations of the strong coupling constant using lattice field theory.
the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the twoloop renormalization factor Zg using improved lattice actions for the SUðNcÞ gauge group and Nf
multiplets of fermions with a finite quark mass. We employ the background field method to compute Zg, by
calculating quantum corrections on both the background and quantum gluon propagator, respecting
the OðaÞ improvement. This allows us to evaluate the perturbative OðamÞ lattice errors which affect the
determination of the running coupling. Eliminating these OðamÞ effects is crucial for the nonperturbative
studies of precision determinations of the strong coupling constant using lattice field theory.