English

Imaginary scaling invariance of the one-loop effective potential

High Energy Physics - Phenomenology 2026-05-19 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2506.21145,
  title  = {Imaginary scaling invariance of the one-loop effective potential},
  author = {P. M. Ferreira and B. Grzadkowski and O. M. Ogreid},
  journal= {arXiv preprint arXiv:2506.21145},
  year   = {2026}
}

Comments

8 pages. Matches published version

R2 v1 2026-07-01T03:34:16.987Z