Leading UV divergences of quantum corrections to K\"ahler superpotential in general $\mathcal{N}=1$ chiral model

TL;DR

This paper derives differential equations for the leading UV divergences in the K"ahler potential of general al  supersymmetric chiral models, extending previous results to non-renormalizable interactions.

Contribution

It introduces a method using the Bogoliubov-Parasiuk theorem to analyze UV divergences in al  models, including non-renormalizable cases.

Findings

Derived differential equations for UV divergences in al  models.

Recovered known results for the renormalizable Wess-Zumino theory.

Extended analysis to non-renormalizable chiral interactions.

Abstract

Using the Bogoliubov-Parasiuk theorem we derive differential equations for the sum of leading UV divergences of the K\"ahler potential in the general $\mathcal{N}=1$ supersymmetric chiral theory. The obtained equations recover the limit of the renormalizable Wess-Zumino theory and also allow one to consider non-renormalizable chiral interactions. Some implications of the obtained equations are shown.