Super-Renormalizablity of Yang-Mills Models in the Third Order of Perturbation Theory

TL;DR

This paper investigates the super-renormalizability of Yang-Mills gauge models at third-order perturbation theory, showing it holds under specific restrictions on interaction constants, with implications for model building.

Contribution

It proves super-renormalizability of Yang-Mills models at third order under new restrictions, extending previous work and suggesting possible phenomenologically consistent models.

Findings

Super-renormalizability holds iff certain restrictions are met.

Standard model does not satisfy these restrictions.

Potential for new models consistent with phenomenology.

Abstract

We continue the investigation from a previous paper concerning the super-renormalizablity of gauge models going to the third order of the perturbation theory. Here we consider only the Yang-Mills case and we prove that this property is true iff some supplementary restrictions are imposed on the constants appearing in the interaction Lagrangian. The usual standard model does not verify these restrictions, but there is hope that such models do exist and they are in agreement with the phenomenology. We consider here only the even-parity contributions.