Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries

Fuente: arXiv
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Autore principale: Pilaftsis, Apostolos
Natura: Preprint
Pubblicazione: 2026
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author Pilaftsis, Apostolos
author_facet Pilaftsis, Apostolos
contents 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 implications of our spurion-field formalism to address the gauge-hierarchy problem are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18341
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries
Pilaftsis, Apostolos
High Energy Physics - Theory
High Energy Physics - Phenomenology
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 implications of our spurion-field formalism to address the gauge-hierarchy problem are discussed.
title Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.18341