{
  "abstract": "Non-Abelian gauge theories above four dimensions may admit an interacting ultraviolet fixed point through the competition between canonical scaling and gauge-field antiscreening. Using the four-loop $\\overline{\\mathrm{MS}}$ beta function continued to $D=4+2ε$, we determine the largest dimension $D_{\\mathrm{pt}}=4+2ε_{\\mathrm{pt}}$ below which successive loop corrections to the fixed point remain hierarchically ordered under a specified ratio criterion, and map $D_{\\mathrm{pt}}$ over color and flavor numbers for fermions in the fundamental representation of $SU(N)$. At $D=5$, we construct rational anomalous dimensions with a fixed, pole-regularized denominator inspired by the functional renormalization group (fRG). Matching to the $\\overline{\\mathrm{MS}}$ series through one, two, and three loops produces progressively smaller shifts in the critical flavor number and coupling at the ultraviolet--infrared merger (the point where the infrared and ultraviolet fixed points coincide), yielding $N_f^{\\mathrm{cr}}\\simeq 2.09 \\, N$ at large $N$ in the three-loop construction. This low-order stabilization, together with qualitative evidence from fRG flows including higher gauge operators, suggests a potential merger scenario that bounds the candidate asymptotically safe region in flavor number. The resulting color--flavor map provides guidance for five-dimensional model building by displaying both the baseline perturbative-control boundary and the candidate three-loop merger boundary. Four-loop matching, however, retains an interacting ultraviolet fixed point beyond the three-loop merger boundary, with no merger found for integer $2\\le N\\le15$ and $0\\le N_f/N\\le11/2$. The sensitivity of the fixed-point structure to higher-order terms leaves both scenarios open, highlighting fixed-point annihilation as a potential constraint on five-dimensional asymptotic safety.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12225",
  "author_total": 5,
  "authors": [
    {
      "name": "Aldo Deandrea"
    },
    {
      "name": "Jie Liu"
    },
    {
      "name": "Roman Pasechnik"
    },
    {
      "name": "Zhi-Wei Wang"
    },
    {
      "name": "Yu-Bo Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7x02gn6w8saa4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12225",
  "fulltext_url": null,
  "id": "7x02gn6w8saa4",
  "issns": [],
  "landing_url": "https://hal.science/hal-05829966v1",
  "language": "en",
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-lat"
    ],
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      "arxiv",
      "hep-ph"
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      "hep-th"
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      "1.phys.grqc"
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      "1.phys.hlat"
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      "1.phys.hphe"
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    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
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  "openalex": "W7221161086",
  "pdf_url": "https://arxiv.org/pdf/2610.12225",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7x02gn6w8saa4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "hal-05829966",
      "source": "hal",
      "url": "https://hal.science/hal-05829966v1"
    },
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.12225",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12225"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Asymptotic Safety in Gauge Theories beyond Four Dimensions: Perturbative Tests and Fixed-Point Mergers",
  "title_text": "Asymptotic Safety in Gauge Theories beyond Four Dimensions: Perturbative Tests and Fixed-Point Mergers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:54Z",
  "url": "https://research.draconitic.com/paper/7x02gn6w8saa4",
  "venue": "HAL",
  "versions": []
}