Softly broken supersymmetric Yang-Mills theories: Renormalization and non-renormalization theorems

Abstract

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 non-renormalization theorems of the case with unbroken supersymmetry are valid without modifications and that the renormalization of 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 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 beta 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.

24 pages, LaTeX, v2: one reference added

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• Non-renormalization theorems of Supersymmetric QED in the Wess-Zumino gauge
• Non-renormalization theorems in softly broken SQED and the soft $\beta$-functions
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Cited by in corpus (5)

• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• Finite Theories and the SUSY Flavor Problem
• Large loop effects of extra SUSY Higgs doublets to CP violation in B^0 mixing
• Supersymmetric Yang-Mills theories with local coupling: The supersymmetric gauge
• Yukawa Textures and Anomaly Mediated Supersymmetry Breaking