{
  "abstract": "We use the background field formalism to calculate next-to-leading-order corrections to a quark transverse momentum dependent parton distribution function (TMD) in the projectile light-cone gauge, i.e. $A^{+}=0$ for a left-moving target. We calculate the full result using the Mandelstam-Leibbrandt prescription for handling the light-cone singularity. From the one-loop renormalization of the quark TMD, we obtain the Collins-Soper-Sterman (CSS) evolution equations. The projectile light-cone gauge is widely used in calculations within the gluon saturation regime. Our work therefore opens a way to understanding the connections between the TMD and Colour Glass Condensate (CGC) approaches within the same framework.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15444",
  "author_total": 4,
  "authors": [
    {
      "name": "Tolga Altinoluk"
    },
    {
      "name": "Guillaume Beuf"
    },
    {
      "name": "Jamal Jalilian-Marian"
    },
    {
      "name": "Mirja Tevio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bjns5z86metsg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15444",
  "fulltext_url": null,
  "id": "bjns5z86metsg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15444",
  "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": "W7213280101",
  "pdf_url": "https://arxiv.org/pdf/2609.15444",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bjns5z86metsg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15444",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15444"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "One-loop renormalization of the quark TMD in projectile light-cone gauge",
  "title_text": "One-loop renormalization of the quark TMD in projectile light-cone gauge",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/bjns5z86metsg",
  "venue": "arXiv",
  "versions": []
}