{
  "abstract": "We investigate the NNLO final-state quark-pair correction to the decay of a neutral axial-vector current ($Z$) into massless quarks within Implicit Regularization (IReg), in the limit of large $N_f$. Our calculation tests, at two loops, the recursive subtraction of ultraviolet subdivergences and the cancellation of infrared singularities between virtual and real contributions in a framework that does not rely on analytical continuation in spacetime dimension. After renormalization and phase-space integration, the regulator-dependent logarithms cancel and the known $N_f$ contribution to the inclusive rate is recovered. The result provides a non-trivial NNLO check of gauge invariance, renormalization consistency, and perturbative unitarity in IReg. In precision multi-loop calculations, fixed-dimension regularization methods can be advantageous by avoiding the dimensional continuation of intrinsically four-dimensional structures, such as $γ_5$ matrices and Levi-Civita tensors, thereby reducing ambiguities and symmetry-restoring counterterms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40395",
  "author_total": 4,
  "authors": [
    {
      "name": "Ricardo J. C. Rosado"
    },
    {
      "name": "Adriano Cherchiglia"
    },
    {
      "name": "Marcos Sampaio"
    },
    {
      "name": "Brigitte Hiller"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ep0xp260m8s35.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40395",
  "fulltext_url": null,
  "id": "ep0xp260m8s35",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40395",
  "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/2610.40395",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ep0xp260m8s35.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:28Z",
      "native_id": "2610.40395",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40395"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "NNLO Final-State Quark-Pair Corrections in Implicit Regularization",
  "title_text": "NNLO Final-State Quark-Pair Corrections in Implicit Regularization",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:47Z",
  "url": "https://research.draconitic.com/paper/ep0xp260m8s35",
  "venue": "arXiv",
  "versions": []
}