Higher loop renormalization of a supersymmetric field theory

TL;DR

This paper presents an efficient method to compute high-loop order renormalization group coefficients in a supersymmetric field theory using Dyson--Schwinger equations and the renormalization group.

Contribution

It introduces a novel approach combining Dyson--Schwinger equations with the renormalization group for supersymmetric models, enabling high-loop calculations.

Findings

High-loop order coefficients can be computed efficiently.

The method simplifies complex calculations in supersymmetric theories.

Potential applications in precise quantum field theory predictions.

Abstract

Using Dyson--Schwinger equations within an approach developed by Broadhurst and Kreimer and the renormalization group, we show how high loop order of the renormalization group coefficients can be efficiently computed in a supersymmetric model.