Renormalization group functions for the Wess-Zumino model: up to 200 loops through Hopf algebras

TL;DR

This paper computes the renormalization group functions for the Wess-Zumino model up to over 200 loops using Hopf algebra techniques, revealing the asymptotic behavior of the series coefficients.

Contribution

It provides the first extensive high-loop calculation of RG functions for the Wess-Zumino model utilizing Hopf algebra methods.

Findings

Renormalization group functions calculated up to 200+ loops.

Asymptotic analysis of the anomalous dimension coefficients.

Insights into the divergence structure of supersymmetric models.

Abstract

We obtain the contributions to the renormalization group functions of all the diagrams containing the unique one-loop primitive divergence of a simple supersymmetric Wess--Zumino model, up to more than 200 loops. The asymptotic behavior of the coefficients in the expansion of the anomalous dimension is analyzed.