Mass effects on the QCD β-function

2023/11/27 by Marios Costa, Demetrianos Gavriel, Costa, Marios +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2311.15796

openalex publication_date 2023/11/27 · openalex created_date 2023/11/29 · openalex updated_date 2026/07/28

Abstract

In this study we present lattice results on the QCD β-function in the presence of quark masses. The β-function is calculated to three loops in perturbation theory and for improved lattice actions; it is extracted from the renormalization of the coupling constant Z_g. The background field method is used to compute Z_g, where it is simply related to the background gluon field renormalization constant Z_A. We focus on the quark mass effects in the background gluon propagator; the dependence of the QCD β-function on the number of colors N_c, the number of fermionic flavors N_f and the quark masses, is shown explicitly. The perturbative results of the QCD β-function will be applied to the precise determination of the strong coupling constant, calculated by Monte Carlo simulations removing the mass effects from the nonperturbative Green's functions.

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