2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/48882In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions, computed to all orders in the dimensional regularization parameter $ε$. We apply the one-loop gluon soft function to the calculation of the next-to-leading logarithmic corrections to the Lipatov vertex to all orders in $ε$.LaTeX, 11 pages. To appear in the Proceedings of the Corfu Summer Institute on Elementary Particle Physics, 1998High Energy Physics - Phenomenologytext