2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144474We review some results of applying the higher covariant derivative regularization to the investigation of quantum corrections structure in N=1 supersymmetric theories. In particular, we demonstrate that all integrals, defining the Gell-Mann--Low function in supersymmetric theories, are integrals of total derivatives. As a consequence, there is an identity for Green functions, which does not follow from any known symmetry of the theory, in N=1 supersymmetric theories. We also discuss how to derive the exact $β$-function by methods of the perturbation theory.39 pages, 13 figures, 5 references addedHigh Energy Physics - TheoryHigher derivative regularization and quantum corrections in N=1 supersymmetric theoriestext