2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188460Basing on some new and concise forms of the Callan-Symanzik equations, the low-energy theorems involving trace anomalies à la Novikov-Shifman-Vainshtein-Zakharov, first advanced and proved in Nucl. Phys. \textbf{B165}, 67 (1980), \textbf{B191}, 301 (1981), are proved as immediate consequences. The proof is valid in any consistent effective field theories and these low-energy theorems are hence generalized. Some brief discussions about related topics are given.6 pages, no figure, Revtex4, revised versionHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyNuclear TheoryQuantum Physicstext