{
  "abstract": "The millihertz stochastic gravitational-wave background (SGWB) provides a population-level probe of stellar-mass binary black holes (BBHs) and their cosmic merger history. We develop a framework using TianQin alone to propagate SGWB-informed BBH population constraints into forecasts of strongly lensed BBH mergers detectable by ground-based gravitational-wave detectors. The framework distinguishes between lensed events with at least one detected image and lens systems in which both images are detected and successfully associated. Using a one-year mock observation, we infer the BBH population and propagate the resulting posterior through a galaxy-scale lensing model with image-level selection. For the adopted system-magnification threshold, \\(μ_{\\rm sys}\\ge 2\\), the median predicted rate of lensed events with at least one detected image is \\(R_{\\rm event}^{\\rm det}=5.50\\times10^{-4}\\,\\mathrm{yr}^{-1}\\), while the median rate of associated two-image lens systems is \\(R_{\\rm sys}^{\\rm det}=2.54\\times10^{-4}\\,\\mathrm{yr}^{-1}\\); the median detectable system fraction is \\(\\mathcal{F}_{\\rm sys}^{\\rm det}=3.35\\times10^{-4}\\). Compared with the prior-only propagation, the pooled 16th--84th percentile widths decrease by 6.5\\% for the event rate, 6.4\\% for the system rate, and 4.0\\% for the system fraction. Our work establishes a quantitative link between millihertz SGWB inference and forecasts of strongly lensed BBH mergers for ground-based gravitational-wave observations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33751",
  "author_total": 1,
  "authors": [
    {
      "name": "Zheng-Cheng Liang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fa8zjfs6hka5t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33751",
  "fulltext_url": null,
  "id": "fa8zjfs6hka5t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33751",
  "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",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7223853783",
  "pdf_url": "https://arxiv.org/pdf/2610.33751",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fa8zjfs6hka5t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33751",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33751"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Forecasting Strongly Lensed Binary Black Hole Rates from the Stochastic Gravitational-Wave Background with TianQin",
  "title_text": "Forecasting Strongly Lensed Binary Black Hole Rates from the Stochastic Gravitational-Wave Background with TianQin",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/fa8zjfs6hka5t",
  "venue": "arXiv",
  "versions": []
}