{
  "abstract": "We present a native transverse-momentum realization of the Collins/CSS2 leading-power transverse-momentum-dependent (TMD) factorization framework. The construction connects fixed-order distributional matching, origin contacts, unexpanded two-scale evolution, and a differentiable interface for hadronic structure. An endpoint-independent canonical scale with a specified infrared completion generates a Collins--Soper kernel on a common invariant domain. Complete canonical legs are bounded and admit constructive momentum-space evaluation through resolvent convolutions or elliptic solves. We give contact and finite-bin error bounds, parent-to-momentum-boundary translations, ordered flavor recurrences, and an all-order argument for the four exponent towers of $N^3\\mathrm{LL}$ evolution. Localized joint-$(x,k_T)$ inputs, nonperturbative rapidity broadening, regulated moments and the full-spectrum subtraction are formulated as distinct parts of the prescription. The physical realization uses sourced four-loop beta/cusp and three-loop noncusp/Collins--Soper ingredients with strict-NLO hard/OPE boundaries. Non-Gaussian continuum tests and three-scale physical-PDF comparisons validate ordinary legs, contacts, individual insertions and analytic input derivatives. Including a declared bound on the continuation above a finite PDF table, physical bin discrepancies remain below $4.27\\times10^{-5}$ of the peak reference bin. A qualified proton--proton Drell--Yan and neural-closure demonstration connects the method to inverse use. Higher-order boundary assembly and matched observables are specified without claiming an implemented $N^3\\mathrm{LL}'$ spectrum or a completed global extraction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03712",
  "author_total": 1,
  "authors": [
    {
      "name": "Dustin Keller"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4zsyeztx4vxe7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03712",
  "fulltext_url": null,
  "id": "4zsyeztx4vxe7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03712",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03712",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4zsyeztx4vxe7.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.03712",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03712"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Native transverse-momentum evolution and matching for TMD factorization and extraction",
  "title_text": "Native transverse-momentum evolution and matching for TMD factorization and extraction",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/4zsyeztx4vxe7",
  "venue": "arXiv",
  "versions": []
}