Renormalisation group invariants from scaling and non-overlapping symmetries
Abstract
A bstract We show how the synergy of scaling and non-overlapping global symmetries can lead to Renormalisation Group Invariants (RGIs) among the parameters of potentials with multiple scalars. The instrumental role of scale-invariant field directions in the identification and construction of RGIs for bilinear field operators to all loops is demonstrated. We present a few illustrative examples to showcase our constructive spurion-field approach, which is applied to simple non-supersymmetric models as well as to scenarios reported recently in the literature that include the two-Higgs doublet model. The problematic issues of RGIs to address the gauge-hierarchy problem beyond supersymmetry are discussed.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Quantum Chromodynamics and Particle Interactions
Particle physics theoretical and experimental studies
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 8
- Publication date
- 5 August 2026
- Language
- EN