Three-loop $\beta$-function for N=1 supersymmetric electrodynamics, regularized by higher derivatives

TL;DR

This paper calculates three-loop quantum corrections in N=1 supersymmetric electrodynamics with higher-derivative regularization and explores the anomaly puzzle within this framework.

Contribution

It provides the first detailed three-loop correction calculations for this model using higher-derivative regularization, addressing the anomaly puzzle.

Findings

Explicit three-loop beta function derived

Insights into the anomaly puzzle in supersymmetric models

Validation of higher-derivative regularization effectiveness

Abstract

Three-loop quantum corrections to the effective action are calculated for N=1 supersymmetric electrodynamics, regularized by higher derivatives. Using the obtained results we investigate the anomaly puzzle in the considered model.