Two-loop parameter relations between dimensional regularization and dimensional reduction applied to SUSY-QCD

TL;DR

This paper derives two-loop relations between parameters in dimensional regularization and dimensional reduction for SUSY-QCD, confirming the schemes' equivalence up to three loops.

Contribution

It provides explicit two-loop parameter relations in SUSY-QCD and verifies the three-loop beta-function transformation between DREG and DRED schemes.

Findings

Two-loop relations between DREG and DRED parameters are established.

Three-loop beta-functions in DREG and DRED are shown to transform into each other.

The equivalence of the schemes is confirmed up to three loops.

Abstract

The two-loop relations between the running gluino-quark-squark coupling, the gluino and the quark mass defined in dimensional regularization (DREG) and dimensional reduction (DRED) in the framework of SUSY-QCD are presented. Furthermore, we verify with the help of these relations that the three-loop beta-functions derived in the minimal subtraction scheme combined with DREG or DRED transform into each other. This result confirms the equivalence of the two schemes through three-loops, if applied to SUSY-QCD.