Two-loop Gell-Mann-Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives

TL;DR

This paper computes the two-loop Gell-Mann-Low function for N=1 supersymmetric Yang-Mills theory using higher covariant derivative regularization, simplifying the integrals to total derivatives for analytical calculation.

Contribution

It provides an explicit two-loop calculation of the Gell-Mann-Low function in supersymmetric Yang-Mills theory with a novel regularization approach.

Findings

Integrals reduce to total derivatives, enabling analytical solutions.

The two-loop Gell-Mann-Low function is explicitly derived.

Regularization simplifies complex integrals in supersymmetric theories.

Abstract

Two-loop Gell-Mann-Low function is calculated for N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives. The integrals, which define it, are shown to be reduced to total derivatives and can be easily calculated analytically.