Dimensional Reduction applied to QCD at higher orders

TL;DR

This paper discusses recent advances in higher order calculations using Dimensional Reduction, focusing on evanescent couplings, scheme equivalence, and the evaluation of the strong coupling constant at different energy scales.

Contribution

It provides new insights into the treatment of evanescent couplings and the relationship between Dimensional Reduction and Dimensional Regularization in supersymmetric theories.

Findings

Evanescent couplings are effectively handled in higher order calculations.

Demonstrates the equivalence of Dimensional Reduction to Dimensional Regularization.

Calculates $eta$-functions and $ ext{alpha}_s$ at different energy scales.

Abstract

Recent developments in higher order calculations within the framework of Dimensional Reduction, the preferred regularization scheme for supersymmetric theories, are reported on. Special emphasis is put on the treatment of evanescent couplings, the equivalence to Dimensional Regularization, and the evaluation of $\alpha_s(M_GUT)$ from $\alpha_s(M_Z)$.