{
  "abstract": "We present new results on the matching relations for gluon transverse momentum dependent parton distribution functions up to one-loop accuracy. At tree-level, employing the spinor formalism, we obtain these relations up to twist 3 accuracy for both T-even and T-odd distributions, including the hadron-mass corrections. At one-loop order, we extend the parton-in-parton approach to include higher-twist operators in the small-$b$ expansion. As a result, we derive for the first time the Wandzura-Wilczek relation for the worm-gear T distributions and establish a systematic method to include mass corrections at one-loop and twist-2 accuracies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16945",
  "author_total": 5,
  "authors": [
    {
      "name": "Alessio Carmelo Alvaro"
    },
    {
      "name": "Nanako Kato"
    },
    {
      "name": "Barbara Pasquini"
    },
    {
      "name": "Cristian Pisano"
    },
    {
      "name": "Simone Rodini"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/555bjmnfhqcet.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16945",
  "fulltext_url": null,
  "id": "555bjmnfhqcet",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16945",
  "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"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "nucl-ex"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7213410432",
  "pdf_url": "https://arxiv.org/pdf/2609.16945",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/555bjmnfhqcet.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16945",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16945"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-ex",
      "subfield": "nuclear"
    }
  ],
  "title": "Matching relations for gluon TMDs up to one-loop accuracy",
  "title_text": "Matching relations for gluon TMDs up to one-loop accuracy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/555bjmnfhqcet",
  "venue": "arXiv",
  "versions": []
}