2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94616The singular behavior of conformal interactions is examined within a comparative analysis of renormalization frameworks. The effective approach--inspired by the effective-field theory program--and its connection with the core framework are highlighted. Applications include black-hole thermodynamics, molecular dipole-bound anions, the Efimov effect, and various regimes of QED.17 pages. Expanded, with additional emphasis in terms of the effective-field theory program. To be published in Phys. Lett. AHigh Energy Physics - TheoryHigh Energy Physics - PhenomenologyMathematical PhysicsNuclear TheoryQuantum PhysicsRenormalization in conformal quantum mechanicstext