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PreprintCC BY 4.0arXiv

Complete set of bounded-from-below conditions for the A4-symmetric three-Higgs-doublet model

  • Luís Lavoura
  • André Milagre
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Abstract

We derive bounded-from-below necessary conditions for the scalar potential of an A4-invariant three-Higgs-doublet model. The field Ansätze that we have used were devised with the help of Claude. Testing our set of conditions on 106 random potentials, that in parallel we minimize by brute force using the Mathematica package StableWein, we find that the set seems to be necessary and sufficient for boundedness-from-below.

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Cite

BibTeXRIS
BibTeX
@misc{lavoura2026complete,
  title = {{Complete set of bounded-from-below conditions for the $A_4$-symmetric three-Higgs-doublet model}},
  author = {Luís Lavoura and André Milagre},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05475},
  eprint = {2611.05475},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05475},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Complete set of bounded-from-below conditions for the A_4-symmetric three-Higgs-doublet model
AU  - Luís Lavoura
AU  - André Milagre
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.05475
UR  - https://arxiv.org/abs/2611.05475
AB  - We derive bounded-from-below necessary conditions for the scalar potential of an A_4-invariant three-Higgs-doublet model. The field Ansätze that we have used were devised with the help of Claude. Testing our set of conditions on 10^6 random potentials, that in parallel we minimize by brute force using the Mathematica package StableWein, we find that the set seems to be necessary and sufficient for boundedness-from-below.
ER  -