Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries

Apostolos Pilaftsis

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arXiv · 2605.18341

Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries

Apostolos Pilaftsis

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Abstract

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.

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Apostolos Pilaftsis. 2026-05-18. Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries. https://arxiv.org/abs/2605.18341

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