{
  "abstract": "Testing gravity beyond general relativity (GR) is essential for probing fundamental physics in the strong-field and highly dynamical regime accessed by gravitational-wave (GW) observations. In this work, we derive analytic expressions for waveform derivatives in the Fisher-matrix formalism within the parametrized post-Einsteinian framework, using the frequency-domain inspiral waveform. These analytic derivatives enable stable and efficient Fisher-matrix calculations without relying on finite-difference schemes. We apply this method to a wide range of detector configurations, including space-based, ground-based, and multiband observations, and combine it with different binary black hole population models. Our results reveal clear and systematic trends in the constraints on non-GR effects as functions of post-Newtonian order, detector type, and source population. They also demonstrate the complementarity between space- and ground-based detectors, particularly for effects that accumulate during the low-frequency inspiral. The analytic approach substantially reduces computational cost and avoids numerical systematics associated with step-size choices, making it well suited for large-scale parameter studies. These results provide robust forecasts for the capability of future GW observations to constrain a broad class of non-GR effects and environmental influences, highlighting the scientific potential of upcoming detector networks for precision tests of gravity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Eur. Phys. J. C 86, 1098 (2026)",
  "arxiv": "2607.04238",
  "author_total": 3,
  "authors": [
    {
      "name": "Jie Wu"
    },
    {
      "name": "Mengfei Sun"
    },
    {
      "name": "Jin Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5e0g9r0s1zjr6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.04238",
  "fulltext_url": null,
  "id": "5e0g9r0s1zjr6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.04238",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.04238",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5e0g9r0s1zjr6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2607.04238",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.04238"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Tests of general relativity using analytic derivatives of parametrized post-Einsteinian gravitational waveforms within the Fisher-matrix framework",
  "title_text": "Tests of general relativity using analytic derivatives of parametrized post-Einsteinian gravitational waveforms within the Fisher-matrix framework",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:56Z",
  "url": "https://research.draconitic.com/paper/5e0g9r0s1zjr6",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1140/epjc/s10052-026-16251-5",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}