2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214579We present a proof of the Britto-Cachazo-Feng-Witten tree-level recursion relation for gluon amplitudes in QCD, based on a direct equivalence between BCFW decompositions and Feynman diagrams. We demonstrate that this equivalence can be made explicit when working in a convenient gauge. We exhibit that gauge invariance and the particular structure of Yang-Mills vertices guarantees the validity of the BCFW construction.24 pages, 33 figuresHigh Energy Physics - Phenomenologytext