Calculation of two-loop beta-function for general N=1 supersymmetric Yang--Mills theory with the higher covariant derivative regularization

TL;DR

This paper calculates the two-loop beta-function for general N=1 supersymmetric Yang--Mills theory using higher covariant derivative regularization, demonstrating that the integrals involved are simplified as total derivatives.

Contribution

It provides a novel calculation of the two-loop beta-function in N=1 supersymmetric Yang--Mills theory with a new regularization approach.

Findings

All integrals are total derivatives, simplifying the calculation.

Explicit two-loop beta-function expression obtained.

Method applicable to similar supersymmetric theories.

Abstract

For the general renormalizable N=1 supersymmetric Yang--Mills theory, regularized by higher covariant derivatives, a two-loop beta-function is calculated. It is shown that all integrals, needed for obtaining this function, can be easily calculated, because they are integrals of total derivatives.