2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/205390We present the recent developments in exact amplitude-based resummation methods for non-Abelian gauge theories as they relate to precision LHC physics. We discuss QEDXQCD exponentiation, shower/ME matching, IR-improved DGLAP-CS theory and implications, as developed by one of us (BFLW), for a UV finite theory of quantum general relativity.8 pages, presented by BFLW at RADCOR07High Energy Physics - Phenomenologytext