2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197516We apply an improved renormalization group analysis for pure Yang-Mills theory at one loop order and obtained the result that a non-perturbatively generated pole mass of gluon emerges as $M_P^2/Λ^2 \simeq 0.66$, where $Λ$ is the $MS$-bar scale.1+16 pages, 3 figures; ver 2, typos corrected, and some comments and references added; ver 3, some sentences corrected, a figure replaced and a number corrected; ver 4, in sec 2, the derivation of the main formula is refined, final version to appear in Prog.Theor.PhysHigh Energy Physics - Theorytext