2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51273I review my explanation of the irreversibility of the renormalization-group flow in even dimensions greater than two and address new investigations and tests.8 pages. Talk given at the V International Conference Renormalization Group 2002, Strba, Slovakia, March 10-16 2002High Energy Physics - TheorySum rules for trace anomalies and irreversibility of the renormalization-group flowtext