{
  "abstract": "A bstract : We apply the Operator Product Expansion (OPE) algorithm to the renormalization of scalar-QED theory, with a specific focus on the fixed-charge operator ϕ Q . Within the OPE framework, the anomalous dimension of the ϕ Q operator is perturbatively computed to four-loop order in the modified minimal subtraction scheme, extending beyond the previously available three-loop result. The beta functions, as well as the mass and field anomalous dimensions, are also computed at this order. An alternative loop-integrand construction method is proposed, based on graph decomposition and skeleton expansion techniques, for deriving the integrands of one-Particle-Irreducible correlation functions. This work represents the first non-trivial validation of the OPE algorithm for higher-loop renormalization beyond pure scalar theories. The present successful computations further confirm the efficiency and versatility of the OPE algorithm in renormalization analysis.",
  "abstract_shown": true,
  "affiliations": [
    "Nanjing Normal University",
    "Haidian District",
    "Hubei University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Rijun Huang",
      "orcid": "0000-0002-2435-5207"
    },
    {
      "affs": [
        1
      ],
      "name": "Qingjun Jin",
      "orcid": "0000-0001-7383-0409"
    },
    {
      "affs": [
        2
      ],
      "name": "Yi Li",
      "orcid": "0000-0003-3232-8070"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fq0vv2b755141.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep10(2026)192",
  "fulltext_url": "https://doi.org/10.1007/JHEP10(2026)192",
  "id": "fq0vv2b755141",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/article/10.1007/JHEP10(2026)192",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QC770-798"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7154644087",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP10(2026)192.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/fq0vv2b755141.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "10.1007/jhep10(2026)192",
      "source": "crossref",
      "url": "https://link.springer.com/article/10.1007/JHEP10(2026)192"
    },
    {
      "first_seen": "2026-10-30T13:45:39Z",
      "native_id": "e8636bd7751046ee8fbf10c2451a765e",
      "source": "doaj",
      "url": "https://doi.org/10.1007/jhep10(2026)192"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3106|Particle physics theoretical and experimental studies",
      "subfield": "high-energy"
    }
  ],
  "title": "Four-loop anomalous dimensions of scalar-QED theory from operator product expansion",
  "title_text": "Four-loop anomalous dimensions of scalar-QED theory from operator product expansion",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:45:39Z",
  "url": "https://research.draconitic.com/paper/fq0vv2b755141",
  "venue": "Journal of High Energy Physics",
  "versions": []
}