2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/177951We present the elements of three applications of resummation methods in non-Abelian gauge theories: (1), QED X QCD exponentiation and shower/ME matching for LHC physics; (2), IR improvement of DGLAP theory; (3), resummed quantum gravity and the final state of Hawking radiation. In all cases, the extension of the YFS approach, originally introduced for Abelian gauge theory, to non-Abelian gauge theories, QCD and quantum general relativity, leads to new results and solutions which we briefly summarize.6 pages, 2 figures, presented at RADCOR05, Kanagawa, Japan, Oct., 2005High Energy Physics - Phenomenologytext