Three-loop renormalization of the image, image, image supersymmetric Yang–Mills theories Original Research Article

We calculate the renormalization constants of the image, image, image supersymmetric Yang–Mills theories in an arbitrary covariant gauge in the dimensional reduction scheme up to three loops. We have found, that the beta-functions for image and image SYM theories are the same from the different triple vertices. This means that the dimensional reduction scheme works correctly in these models up to third order of perturbative theory.