{
  "abstract": "The measured fermion masses may be pointing to the scale of quark-lepton unification. Studying the renormalization-group evolution of the Standard Model Yukawa couplings, we find that $y_τ=y_b$ and $y_μ=3y_s$ occur at nearly the same scale, around $10^6$ GeV, while the first generation reaches the Georgi-Jarlskog relation $y_e\\simeq y_d/3$ at order $10^8$ GeV and can arise from the same Clebsch structure through a simple hierarchical flavor texture. This pattern naturally suggests low-scale Pati-Salam symmetry. We show that flavor mixing and finite threshold corrections preserve this picture. If the electron mass has an independent origin, the two heavier-generation relations can be realized in theories with a unification scale as low as $(5$-$7)\\times10^5$ GeV. We identify two simple theories that accommodate all three relations and in which the measured masses fix the flavor structure. The first unifies all three generations at $4.6^{+1.2}_{-0.9}\\times10^6$ GeV; the second, with symmetric Yukawa matrices, at $1.5^{+0.7}_{-0.5}\\times10^7$ GeV, and predicts $|V_{cb}|=0.042\\pm0.002$. Their shared light-family texture fixes the relevant vector-leptoquark couplings, making $μ\\to e$ conversion in nuclei a direct test of unification: upcoming searches will probe part of the region selected by the two theories, and proposed facilities could cover it completely.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33152",
  "author_total": 3,
  "authors": [
    {
      "name": "Lawrence J. Hall"
    },
    {
      "name": "Claudio Andrea Manzari"
    },
    {
      "name": "Clara Murgui"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9srafwdgrtavg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33152",
  "fulltext_url": null,
  "id": "9srafwdgrtavg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33152",
  "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-ex"
    ],
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7224012844",
  "pdf_url": "https://arxiv.org/pdf/2610.33152",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9srafwdgrtavg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33152",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33152"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ex",
      "subfield": "high-energy"
    }
  ],
  "title": "A Low Scale for Quark-Lepton Unification",
  "title_text": "A Low Scale for Quark-Lepton Unification",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/9srafwdgrtavg",
  "venue": "arXiv",
  "versions": []
}