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Imaginary scaling invariance of the one-loop effective potential

P. M. Ferreira*

B. Grzadkowski†

O. M. Ogreid‡

  • *Contact author: pmmferreira@fc.ul.pt
  • †Contact author: bohdan.grzadkowski@fuw.edu.pl
  • ‡Contact author: omo@hvl.no
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Phys. Rev. D 113, 075036 – Published 27 April, 2026

DOI: https://doi.org/10.1103/9j32-2ggz

Abstract

Recently, a hitherto unknown class of renormalization group stable relations between parameters of bosonic field theories has 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 nontrivially under r0. The minimal model requires the presence of two real fields.

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References (34)

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Phys. Rev. D 113, 075036– Published 27 April, 2026
  • Received 9 July 2025
  • Accepted 3 April 2026
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