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arXiv · 2503.00463

Perturbative determination of $\mathcal{O}(am)$ improvement on the QCD running coupling

Marios Costa·Demetrianos Gavriel·Haralambos Panagopoulos·Gregoris Spanoudes
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Abstract

We present the perturbative results of the discretization errors proportional to the quark mass ($\mathcal{O}(a m)$) on the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the 2-loop renormalization factor $Z_g$ using improved lattice actions for the $SU(N_c)$ gauge group and $N_f$ multiplets of fermions with a finite quark mass. We employ the background field method to compute $Z_g$, by calculating quantum corrections on both the background and quantum gluon propagator, respecting the $\mathcal{O}(a)$ improvement. This allows us to evaluate the perturbative $\mathcal{O}(a m)$ lattice errors which affect the determination of the running coupling. Eliminating these $\mathcal{O}(a m)$ effects is crucial for the nonperturbative studies of precision determinations of the strong coupling constant using lattice field theory.

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Marios Costa, Demetrianos Gavriel, Haralambos Panagopoulos, Gregoris Spanoudes. 2025-11-27. Perturbative determination of $\mathcal{O}(am)$ improvement on the QCD running coupling. https://doi.org/10.1103/yyvs-6q5v

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