2002/01/31 by Elisabeth Kraus, Dominik Stöckinger · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.65.105014
published as Phys.Rev. D65 (2002) 105014 · 24 pages, LaTeX, v2: one reference added
arxiv created 2002/02/07 · openalex publication_date 2002/05/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a minimal version for the renormalization of softly broken super Yang-Mills theories using the extended model with a local gauge coupling. It is shown that the nonrenormalization theorems of the case with unbroken supersymmetry are valid without modifications and that the renormalization of the soft-breaking parameters is completely governed by the renormalization of the supersymmetric parameters. The symmetry identities in the present context are peculiar, since the extended model contains two anomalies: the Adler-Bardeen anomaly of the axial vector current and an anomaly of supersymmetry in the presence of the local gauge coupling. From the anomalous symmetries we derive the exact all-order expressions for the \ensuremathβ functions of the gauge coupling and of the soft-breaking parameters. They generalize earlier results to arbitrary normalization conditions and imply the NSVZ expressions for a specific normalization condition on the coupling.