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PreprintCC BY-NC-SA 4.0arXiv

To Infinity and Beyond: Maximizing Entanglement and Emergent Symmetries in N Higgs Doublet Models

  • Spencer Chang
  • Gabriel Jacobo
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Abstract

In this paper, we explore the recent observation that maximizing flavor entanglement in Higgs boson scattering in a two Higgs doublet model leads to parameter space where the potential, if bounded from below, has an enhanced mirror symmetry U(2)2. Looking at N Higgs doublet models, we find a generalization of the mirror models, with U(2)N symmetry. Focusing on three Higgs doublet models, we determine that there is also a bounded potential solution that maximally entangles but has only the minimal U(2) symmetry. This counterexample demonstrates that additional constraints must be imposed to maintain the connection between maximal entanglement and extended symmetries. As a potential constraint, for the three Higgs doublet model, we show that requiring maximal entanglement still occurs after gauging the symmetries eliminates the counterexample, thus restoring the connection.

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Cite

BibTeXRIS
BibTeX
@misc{chang2026infinity,
  title = {{To Infinity and Beyond: Maximizing Entanglement and Emergent Symmetries in $N$ Higgs Doublet Models}},
  author = {Spencer Chang and Gabriel Jacobo},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07005},
  eprint = {2611.07005},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07005},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - To Infinity and Beyond: Maximizing Entanglement and Emergent Symmetries in N Higgs Doublet Models
AU  - Spencer Chang
AU  - Gabriel Jacobo
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.07005
UR  - https://arxiv.org/abs/2611.07005
AB  - In this paper, we explore the recent observation that maximizing flavor entanglement in Higgs boson scattering in a two Higgs doublet model leads to parameter space where the potential, if bounded from below, has an enhanced mirror symmetry U(2)^2. Looking at N Higgs doublet models, we find a generalization of the mirror models, with U(2)^N symmetry. Focusing on three Higgs doublet models, we determine that there is also a bounded potential solution that maximally entangles but has only the minimal U(2) symmetry. This counterexample demonstrates that additional constraints must be imposed to maintain the connection between maximal entanglement and extended symmetries. As a potential constraint, for the three Higgs doublet model, we show that requiring maximal entanglement still occurs after gauging the symmetries eliminates the counterexample, thus restoring the connection.
ER  -