Three-loop anomalous dimensions for squarks in supersymmetric QCD

TL;DR

This paper calculates three-loop anomalous dimensions for squarks in supersymmetric QCD, enhancing precision in supersymmetric mass spectrum predictions and confirming the validity of dimensional reduction at this order.

Contribution

It provides the first three-loop anomalous dimensions for squarks in supersymmetric QCD, complementing previous work and confirming the method's applicability.

Findings

Validated dimensional reduction at three-loop order

Provided key inputs for supersymmetric mass spectrum evolution

Confirmed consistency with prior two-loop results

Abstract

In this paper we evaluate the renormalization constants and anomalous dimensions for the squark wave function and mass within supersymmetric QCD. These results complement the ones obtained in Ref. \cite{Harlander:2009mn} and thus provide further confirmation on the applicability of dimensional reduction to supersymmetric QCD at three-loop order. The three-loop anomalous dimension constitute important input to precision predictions of the supersymmetric mass spectrum as obtained from the evolution from the GUT to the TeV energy scale.