N = 1 supersymmetry and the three-loop gauge β-function

1996/06/30 by I. Jack, D.R.T. Jones, D. R. T. Jones +2 · 12 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1016/0370-2693(96)00918-5

published as Phys.Lett. B386 (1996) 138-140 · 6 pages. Uses Harvmac. Minor referencing error and typos corrected

arxiv created 1996/07/08 · openalex publication_date 1996/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We calculate the three loop gauge β-function for an abelian N=1 supersymmetric gauge theory, using DRED. We construct a coupling constant redefinition that relates the result to the corresponding term in the NSVZ β-function, and by generalising this redefinition to the non-abelian case we derive the DRED three loop gauge β-function for the non-abelian case.

Cited by

• Fayet-IliopoulosDterm and its renormalization in softly broken supersymmetric theories
• Scheme dependence and the NSVZ β-function
• The quasi-infra-red fixed point at higher loops
• Three-loop anomalous dimensions for squarks in supersymmetric QCD
• Low-energy signatures of semiperturbative unification
• Light MSSM Higgs boson mass to three-loop accuracy
• The a-function for gauge theories
• Derivation of the exact NSVZ β-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry
• Renormalisation of the Fayet-Iliopoulos D-term
• The NSVZ β-function and the Schwinger-Dyson equations for N N = 1 SQED with N f flavors, regularized by higher derivatives
• Minimal supersymmetric SU(5) and gauge coupling unification at three loops