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arXiv · 2506.21145

Imaginary scaling invariance of the one-loop effective potential

P. M. Ferreira·B. Grzadkowski·O. M. Ogreid
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Abstract

Recently, a hitherto unknown class of renormalization group stable relations between parameters of bosonic field theories have been identified and dubbed as the r0 or 'GOOFy' symmetries. Here, one-loop properties of the r0 invariant two-Higgs Doublet Model and a minimal symmetric model are discussed. It is concluded that the symmetry is present at the one-loop provided the UV cutoff squared transforms non-trivially under r0. The minimal model requires the presence of two real fields.

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P. M. Ferreira, B. Grzadkowski, O. M. Ogreid. 2026-05-17. Imaginary scaling invariance of the one-loop effective potential. https://arxiv.org/abs/2506.21145

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