{
  "abstract": "We determine the loss of mechanical angular momentum $L^μ_{\\rm loss}$ of two gravitationally scattering bodies at $\\mathcal{O}(G^4)$ using worldline quantum field theory (WQFT). The gravitational memory effect, a phenomenon of the early- and late-time behaviour of the gravitational field, leads to static contributions to $L^μ_{\\rm loss}$. We illuminate how these arise: the linear memory contributes through so-called static correlators, while the nonlinear memory vanishes at this order due to symmetry considerations. The computation of the remaining, dynamical part resembles that of the $\\mathcal{O}(G^4)$ impulse. We generate its integrand using a reformulation of the WQFT Feynman rules that conserves four-momentum at every vertex and plainly exhibits the classical loops. The three-loop integrals are reduced to master integrals, whose differential equations and boundary matching in the post-Newtonian limit we describe in some detail. In contrast to conservative effects at this order, only polylogarithms appear. While individual contributions to the dynamical part are divergent, these cancel in $L^μ_{\\rm loss}$. The quadratic-in-radiation part of our result reproduces earlier results, while the complete result agrees with existing post-Newtonian results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26822",
  "author_total": 5,
  "authors": [
    {
      "name": "Lara Bohnenblust"
    },
    {
      "name": "Carl Jordan Eriksen"
    },
    {
      "name": "Gustav Uhre Jakobsen"
    },
    {
      "name": "Kathrin Stoldt"
    },
    {
      "name": "Andrii Yanovets"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/441ta1yjc80d2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26822",
  "fulltext_url": null,
  "id": "441ta1yjc80d2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26822",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7223004345",
  "pdf_url": "https://arxiv.org/pdf/2610.26822",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/441ta1yjc80d2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26822",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26822"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Mechanical angular momentum loss at $\\mathcal{O}(G^4)$ from static and radiative gravitons",
  "title_text": "Mechanical angular momentum loss at 𝒪(G^4) from static and radiative gravitons",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/441ta1yjc80d2",
  "venue": "arXiv",
  "versions": []
}