Exact results in explicit three-loop calculations using higher derivatives for ${\cal N}=1$ SQCD

TL;DR

This paper computes the three-loop Adler D-function in ${\cal N}=1$ SQCD using higher covariant derivatives, establishing a subtraction scheme that preserves the exact NSVZ-like relation.

Contribution

It provides explicit three-loop calculations and identifies a subtraction scheme ensuring the exact NSVZ-like relation holds in ${\cal N}=1$ SQCD.

Findings

Explicit three-loop Adler D-function calculation

Identification of a subtraction scheme maintaining the NSVZ relation

Validation of the exact NSVZ-like relation at three loops

Abstract

We calculate the three-loop Adler $D$-function of ${\cal N}=1$ SQCD regularized by higher covariant derivatives and find the subtraction scheme in which the exact NSVZ-like relation for this function that was recently proposed is valid.