Renormalization Group Invariants in Supersymmetric Theories
Published:Dec 29, 2025 17:43
•1 min read
•ArXiv
Analysis
This paper summarizes and reviews recent advancements in understanding the renormalization of supersymmetric theories. The key contribution is the identification and construction of renormalization group invariants, quantities that remain unchanged under quantum corrections. This is significant because it provides exact results and simplifies calculations in these complex theories. The paper explores these invariants in various supersymmetric models, including SQED+SQCD, the Minimal Supersymmetric Standard Model (MSSM), and a 6D higher derivative gauge theory. The verification through explicit three-loop calculations and the discussion of scheme-dependence further strengthen the paper's impact.
Key Takeaways
- •Identifies and constructs renormalization group invariants in supersymmetric theories.
- •Provides exact results and simplifies calculations in complex supersymmetric models.
- •Applies to various models including SQED+SQCD, MSSM, and 6D higher derivative gauge theory.
- •Verifies results through explicit three-loop calculations.
- •Discusses the scheme-dependence of the results.
Reference
“The paper discusses how to construct expressions that do not receive quantum corrections in all orders for certain ${\cal N}=1$ supersymmetric theories, such as the renormalization group invariant combination of two gauge couplings in ${\cal N}=1$ SQED+SQCD.”