{
  "abstract": "Using the worldline quantum field theory formalism, we compute conservative contributions to the scattering angle and impulse for classical black hole scattering at fifth post-Minkowskian and second self-force order. This four-loop calculation involves nonplanar Feynman integrals and requires advanced integration-by-parts reduction, novel differential-equation strategies, and efficient boundary-integral algorithms to solve a system of hundreds of master integrals in four integral families on high-performance computing systems. The resulting function space includes multiple polylogarithms as well as iterated integrals with a K3 period, which generate a spurious velocity divergence at v/c=sqrt[8]/3, γ=3. This divergence is present in the potential region and must be canceled by contributions from the radiative memory region, while its dimensional-regularization pole should cancel against the radiative tail region. As the standard use of Feynman propagators fails to ensure this cancellation, we instead propose a \"(γ-3)\" conservative prescription that realizes both cancellations, leading to a physically sensible answer. All available low-velocity checks of our result against the post-Newtonian literature are satisfied.",
  "abstract_shown": true,
  "affiliations": [
    "Humboldt-Universität zu Berlin",
    "Max Planck Institut für Gravitationsphysik (Albert Einstein Institut)",
    "Queen Mary University of London",
    "Technische Universität München"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 7,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Anonymous",
      "orcid": "0000-0002-2570-2119"
    },
    {
      "affs": [
        0,
        1
      ],
      "name": "Gustav Uhre Jakobsen",
      "orcid": "0000-0001-9743-0442"
    },
    {
      "affs": [
        0,
        1,
        2
      ],
      "name": "Gustav Mogull",
      "orcid": "0000-0003-3070-5717"
    },
    {
      "affs": [
        1,
        3
      ],
      "name": "Christoph Nega",
      "orcid": "0000-0003-0202-536X"
    },
    {
      "affs": [
        0
      ],
      "name": "Jan Christoph Plefka",
      "orcid": "0000-0003-2883-7825"
    },
    {
      "affs": [
        0
      ],
      "name": "Benjamin Sauer",
      "orcid": "0000-0002-2071-257X"
    },
    {
      "affs": [
        0
      ],
      "name": "Johann Usovitsch",
      "orcid": "0000-0002-3542-2786"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ftk6wzkwf7jhz.bib",
  "cited_by": 35,
  "doi": "10.1103/4dvk-nglx",
  "fulltext_url": null,
  "id": "ftk6wzkwf7jhz",
  "issns": [
    "0031-9007",
    "1079-7114",
    "1092-0145"
  ],
  "landing_url": "https://doi.org/10.1103/4dvk-nglx",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7167888324",
  "pdf_url": null,
  "pmcid": null,
  "pmid": "42705274",
  "published": "2026-07-10",
  "publisher": "American Physical Society",
  "ris": "https://research.draconitic.com/paper/ftk6wzkwf7jhz.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:44Z",
      "native_id": "W7167888324",
      "source": "openalex",
      "url": "https://doi.org/10.1103/4dvk-nglx"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Pulsars and Gravitational Waves Research",
      "subfield": "high-energy-astrophysics"
    }
  ],
  "title": "Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order",
  "title_text": "Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:21:01Z",
  "url": "https://research.draconitic.com/paper/ftk6wzkwf7jhz",
  "venue": "Physical Review Letters",
  "versions": []
}