{
  "abstract": "A bstract : We extend the hidden zeros and 2-split of tree-level Tr( ϕ ³ ) amplitudes to loop-level Feynman integrands, apart from some physically irrelevant scaleless integrals. Our method is based on a certain factorization mechanism that occurs in Feynman diagrams when summing over shuffle permutations. The loop-level hidden zeros and 2-split identified in this work differ from those in the literature. In our result, the kinematic conditions for loop-level hidden zeros and 2-split are remarkably simple. Their connection is as tight as at tree-level, with the same procedure for obtaining the 2-split condition from the zero condition. The resulting 2-split formula at loop-level represents a generalization of that at tree-level: the L -loop integrand is expressed as a sum over L + 1 terms, each of which exhibits a 2-split structure.",
  "abstract_shown": true,
  "affiliations": [
    "College of Physical Science and Technology, Yangzhou University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Kang Zhou",
      "orcid": "0000-0002-1860-4406"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/137tmn87b568k.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep10(2026)030",
  "fulltext_url": null,
  "id": "137tmn87b568k",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/10.1007/JHEP10(2026)030",
  "language": null,
  "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": [
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7216077538",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP10(2026)030.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/137tmn87b568k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "10.1007/jhep10(2026)030",
      "source": "crossref",
      "url": "https://link.springer.com/10.1007/JHEP10(2026)030"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3106|Particle physics theoretical and experimental studies",
      "subfield": "high-energy"
    }
  ],
  "title": "Towards new hidden zero and 2-split of loop-level Feynman yntegrands in Tr(ϕ3) model",
  "title_text": "Towards new hidden zero and 2-split of loop-level Feynman yntegrands in Tr(ϕ3) model",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/137tmn87b568k",
  "venue": "Journal of High Energy Physics",
  "versions": []
}