{
  "abstract": "Primordial black hole (PBH) abundances and scalar-induced gravitational waves (SIGWs) probe the same primordial fluctuations through different physical weights. We examine the predictive power of precise synthetic information on absolute PBH abundances over a finite stellar-mass interval, together with an exact total abundance and external population bounds. For Gaussian perturbations under a fixed quantum chromodynamics (QCD) formation prescription, two smooth, symmetric lognormal spectra satisfy the same abundance conditions while producing nonproportional leading-order SIGW spectra. The two spectra differ by about 20% when averaged over the lower of two adjacent nanohertz windows but by nearly a factor of 60 in the higher-frequency window, so the difference cannot be represented by a single rescaling of the gravitational-wave background. Peak position and width compensate with amplitude in the abundance calculation, while the higher-frequency window draws almost all its energy from scalar-mode pairs with both wavenumbers above the primordial peak. Under the principal abundance benchmark, local finite-width components yield larger contrasts at a fixed nanohertz frequency through distinct mode couplings under both the QCD and stochastic peak-curvature formation prescriptions. For a separately generated population, extending mass information over most of its abundance restricts the lognormal peak-position and width compensation and reduces the higher-window contrast, while the unequal window responses persist. These results show why joint PBH-SIGW inference must propagate primordial shapes compatible with the PBH abundance information rather than assign one tensor template to a single abundance fit.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00873",
  "author_total": 3,
  "authors": [
    {
      "name": "Boliang Yu"
    },
    {
      "name": "Ruixin Zhou"
    },
    {
      "name": "Zi-Yu Tang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1v43ra0ws6yv4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00873",
  "fulltext_url": null,
  "id": "1v43ra0ws6yv4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00873",
  "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",
      "astro-ph.CO"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00873",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1v43ra0ws6yv4.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00873",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00873"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "How tightly can PBH abundance information constrain scalar-induced gravitational waves?",
  "title_text": "How tightly can PBH abundance information constrain scalar-induced gravitational waves?",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/1v43ra0ws6yv4",
  "venue": "arXiv",
  "versions": []
}