Dimensional Reduction applied to QCD at three loops

Abstract

Dimensional Reduction is applied to \qcd{} in order to compute various renormalization constants in the \drbar{} scheme at higher orders in perturbation theory. In particular, the $\beta$ function and the anomalous dimension of the quark masses are derived to three-loop order. Special emphasis is put on the proper treatment of the so-called $\epsilon$-scalars and the additional couplings which have to be considered.

13 pages, minor changes, references added

References in corpus (9)

• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• Supersymmetry Parameter Analysis: SPA Convention and Project
• Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry
• Two-loop O(as^2) MSSM corrections to the pole masses of heavy quarks
• Relating bottom quark mass in DR-bar and MS-bar regularization schemes
• MSSM Higgs-boson mass predictions and two-loop non-supersymmetric counterterms
• Two-loop matching coefficients for the strong coupling in the MSSM
• Factorization and Regularization by Dimensional Reduction
• The difference between n-dimensional regularization and n-dimensional reduction in QCD

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