{
  "abstract": "We discuss three aspects of the ongoing efforts of the CTEQ--TEA group toward global parton distribution function (PDF) analyses beyond NNLO accuracy in QCD. First, we present a realization of the SACOT-$χ$ general-mass variable flavor number scheme for deep-inelastic scattering (DIS) at the partial next-to-next-to-next-to-leading order (pN$^3$LO) in QCD. We numerically illustrate how this SACOT-$χ$ theory prediction captures the dependence of DIS structure functions on masses of heavy quarks with inclusion of the available $O(α_s^3)$ contributions. Second, we discuss a preliminary pN$^3$LO CT25 fit that implements such contributions. Third, we extend the Candia algorithm for solving DGLAP evolution equations for unpolarized parton distribution functions (PDFs) in $x$ space to N$^3$LO in QCD. The algorithm is based on logarithmic expansions of the solution and can be extended to all orders in QCD. An expansion equivalent to the exact DGLAP solution at N$^3$LO is presented in the non-singlet sector. We show results for approximate N$^3$LO PDFs evolved using the most recent approximations to the 4-loop splitting functions in QCD.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07233",
  "author_total": 8,
  "authors": [
    {
      "name": "Marco Guzzi"
    },
    {
      "name": "Yao Fu"
    },
    {
      "name": "Casey Hampson"
    },
    {
      "name": "Pavel Nadolsky"
    },
    {
      "name": "Maximiliano Ponce-Chavez"
    },
    {
      "name": "Tanishq Sharma"
    },
    {
      "name": "Keping Xie"
    },
    {
      "name": "C. -P. Yuan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8dq8hzxh3pwje.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07233",
  "fulltext_url": null,
  "id": "8dq8hzxh3pwje",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07233",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7220954409",
  "pdf_url": "https://arxiv.org/pdf/2610.07233",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8dq8hzxh3pwje.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07233",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07233"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Toward N$^3$LO CT global PDF analyses: The SACOT-$χ$ scheme in DIS and DGLAP evolution at partial N$^3$LO",
  "title_text": "Toward N^3LO CT global PDF analyses: The SACOT-χ scheme in DIS and DGLAP evolution at partial N^3LO",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/8dq8hzxh3pwje",
  "venue": "arXiv",
  "versions": []
}