Holomorphy without Supersymmetry in the Standard Model Effective Field Theory

Abstract

The anomalous dimensions of dimension-six operators in the Standard Model Effective Field Theory (SMEFT) respect holomorphy to a large extent. The holomorphy conditions are reminiscent of supersymmetry, even though the SMEFT is not a supersymmetric theory.

Minor corrections in Table I, see note added at end of paper. The complete SMEFT RGE will be maintained at http://einstein.ucsd.edu/smeft

References in corpus (6)

• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
• Higgs windows to new physics through d = 6 operators: Constraints and one-loop anomalous dimensions
• Renormalization group evolution of dimension-six baryon number violating operators
• Naive Dimensional Analysis Counting of Gauge Theory Amplitudes and Anomalous Dimensions

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