{
  "abstract": "We determine the gauge-invariant identity, mass scale and ultraviolet stability of the dark matter candidate arising from \\(G(2)\\to SU(3)_C\\) in the exceptional \\(G(2)\\!-\\!E_6\\!-\\!E_7\\) construction. The broken \\(G(2)\\) sector contains odd \\(1^{+-}\\) and \\(0^{--}\\) channels, whereas the scalar \\(0^{++}\\sim X\\bar X\\) state is even and unprotected. For \\(m_X\\simeq5.7\\times10^{13}\\,\\mathrm{GeV}\\), weak-binding reference masses are \\(M_{2X}\\simeq1.14\\times10^{14}\\,\\mathrm{GeV}\\) and \\(M_{3X}\\simeq1.71\\times10^{14}\\,\\mathrm{GeV}\\), while the exact pole masses remain nonperturbative. Gauge-invariant Fröhlich--Morchio--Strocchi (FMS) operators, Hall--Post bounds, \\(Y\\)-junction arguments and the pure-\\(SU(3)\\) glue spectrum favor \\(1^{+-}\\) in their controlled regimes without excluding a deeply bound \\(0^{--}\\) state. We then test whether this dark grading survives the full chiral exceptional embedding. An on-shell analysis finds no independent purely dark odd operator through dimension seven: the first nonvanishing basis appears at dimension nine. So the minimal one-copy exceptional embedding does not provide an exact ultraviolet dark \\(G\\)-parity. Moving the dark Higgs from the common \\(\\mathbf{1463}_H\\) parent to a separated \\(\\mathbf{1539}_H\\) removes the scalar-parent obstruction and the relevant dimension-nine exceptional parents vanish on the selected pure-dark component in the undressed limit. A genuinely gauged or geometric \\(\\mathbb Z_{2,D}\\) would therefore leave a bosonic parity after dark Higgsing. Its extension to the mirror-free theory nevertheless fails because the required \\(G(2)\\) conjugation also conjugates color, \\(\\mathbf3_C\\leftrightarrow\\bar{\\mathbf3}_C\\). The remaining obstruction to exact dark matter stability is therefore ultraviolet and chiral, rather than low-energy or purely scalar.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04296",
  "author_total": 1,
  "authors": [
    {
      "name": "Nicolo' Masi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8jasc5wy3gdyp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04296",
  "fulltext_url": null,
  "id": "8jasc5wy3gdyp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04296",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7211873277",
  "pdf_url": "https://arxiv.org/pdf/2609.04296",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8jasc5wy3gdyp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:14Z",
      "native_id": "2609.04296",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04296"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Dark matter glueball candidate from a $G(2)$--$E_6$--$E_7$ exceptional grand unified theory: $G$-parity, spin, mass and stability",
  "title_text": "Dark matter glueball candidate from a G(2)--E_6--E_7 exceptional grand unified theory: G-parity, spin, mass and stability",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:14Z",
  "url": "https://research.draconitic.com/paper/8jasc5wy3gdyp",
  "venue": "arXiv",
  "versions": []
}