{
  "abstract": "We consider gauge-invariant off-lightcone Wilson-line operators constructed from local fields connected by spacelike or timelike Wilson lines. The lattice evaluation of their matrix elements requires a suitable renormalization prescription. Gradient flow offers such a prescription and, by smoothing the fields, suppresses ultraviolet fluctuations and can reduce statistical noise. We use the previously established matching framework based on the one-dimensional auxiliary-field formalism. In the small-flow-time limit, this framework reduces the matching of nonlocal off-lightcone Wilson-line operators to that of local current operators. We calculate the matching coefficients for these local current operators from the gradient-flow scheme to the modified minimal subtraction ($\\MS$) scheme through next-to-next-to-leading order (NNLO) in QCD. Our results can be applied to lattice calculations of unpolarized and polarized quark and gluon quasi-parton distributions, as well as meson and baryon quasi-distribution amplitudes. They also apply to gluonic correlators entering quarkonium transport and heavy-quark momentum diffusion in the quark-gluon plasma (QGP). Further applications include quarkonium decay and production in potential nonrelativistic QCD (pNRQCD) and spin-dependent relativistic corrections to the static potential.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40225",
  "author_total": 1,
  "authors": [
    {
      "name": "Xiang-Peng Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0gs11mwvdvwcs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40225",
  "fulltext_url": null,
  "id": "0gs11mwvdvwcs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40225",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40225",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0gs11mwvdvwcs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:28Z",
      "native_id": "2610.40225",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40225"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Off-lightcone Wilson-line operators in gradient flow at next-to-next-to-leading order",
  "title_text": "Off-lightcone Wilson-line operators in gradient flow at next-to-next-to-leading order",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:47Z",
  "url": "https://research.draconitic.com/paper/0gs11mwvdvwcs",
  "venue": "arXiv",
  "versions": []
}