A GOOFy Three Higgs Doublet Model
Abstract
Recent developments in two-Higgs doublet models identified regions of parameter space which are renormalization-group invariant to all orders of perturbation theory but cannot be described by any of the known symmetries of those models. These were dubbed GOOFy symmetries, as they involve scalar doublets and their complex conjugates transforming independently, and imaginary scaling of spacetime coordinates is needed to ensure invariance of kinetic terms. We build a three-Higgs doublet model with a GOOFy symmetry including extensions to the fermion sector. We prove renormalization group invariance through a direct calculation of the model's beta functions and analyse the corresponding phenomenology. The model is shown to be compatible with current LHC observations, displaying interesting features which may be probed in the near future.
Related
- Complete set of bounded-from-below conditions for the A4-symmetric three-Higgs-doublet model
- Electric Dipole Moments in the CP-violating Generational Three-Higgs-Doublet Model
- Boundedness from below in the real Weinberg three-Higgs-doublet model
- Top-quark flavor-changing neutral currents and charged-lepton flavor violation in a generational three-Higgs-doublet model
- Search for the nonresonant production of a pair of additional Higgs bosons in the type-X two-Higgs-doublet model in proton-proton collisions at √s = 13 TeV
BibTeX
@misc{varzielas2026goofy,
title = {{A GOOFy Three Higgs Doublet Model}},
author = {I. de Medeiros Varzielas and P. M. Ferreira and S. Oliveira},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36163},
eprint = {2610.36163},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36163},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A GOOFy Three Higgs Doublet Model
AU - I. de Medeiros Varzielas
AU - P. M. Ferreira
AU - S. Oliveira
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36163
UR - https://arxiv.org/abs/2610.36163
AB - Recent developments in two-Higgs doublet models identified regions of parameter space which are renormalization-group invariant to all orders of perturbation theory but cannot be described by any of the known symmetries of those models. These were dubbed GOOFy symmetries, as they involve scalar doublets and their complex conjugates transforming independently, and imaginary scaling of spacetime coordinates is needed to ensure invariance of kinetic terms. We build a three-Higgs doublet model with a GOOFy symmetry including extensions to the fermion sector. We prove renormalization group invariance through a direct calculation of the model's beta functions and analyse the corresponding phenomenology. The model is shown to be compatible with current LHC observations, displaying interesting features which may be probed in the near future.
ER -