{
  "abstract": "We present a deconvolution-based framework for testing scale-dependent departures of the late-time matter power spectrum from a fiducial cosmological model using $3\\times2$pt measurements. We introduce a free-form scale-dependent modulation $A(k)$ of the fiducial nonlinear matter power spectrum and construct the linear response of binned galaxy-clustering, galaxy-galaxy-lensing, and cosmic-shear spectra to the discretized modulation $A(k)$. The response is evaluated with full-sky, beyond-Limber kernels including density, redshift-space-distortion, gravitational-shear, and intrinsic-alignment contributions. We reconstruct $A(k)$ using a regularized modified Richardson-Lucy algorithm, with weak diffusion in $\\ln k$ and selection of the minimum-$χ^2$ solution along the iteration history. Using Rubin/LSST Year 10-like synthetic data, we find that oscillatory modulations with amplitudes $\\gtrsim1\\%$ can be recovered over $0.1\\lesssim k\\lesssim0.5\\,{\\rm Mpc}^{-1}$, provided the oscillation frequency $f\\lesssim10$ on $\\log_{10}[k/(0.2\\,{\\rm Mpc}^{-1})]$. We further introduce a posterior-weighted consistency statistic calibrated with posterior-predictive null mocks, thereby accounting for cosmological and nuisance-parameter uncertainties without relying on Wilks' theorem. The null case is consistent with $A(k)=1$, while a $1\\%$ oscillatory modulation is detected at $\\sim 2.6σ$. These results demonstrate the potential of regularized deconvolution as a model-independent consistency test of the matter power spectrum in future $3\\times2$pt surveys.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08460",
  "author_total": 5,
  "authors": [
    {
      "name": "Jun-Qian Jiang"
    },
    {
      "name": "Ajoy Dawn"
    },
    {
      "name": "Dhiraj Kumar Hazra"
    },
    {
      "name": "Benjamin L'Huillier"
    },
    {
      "name": "Arman Shafieloo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ajef74srn7pbq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08460",
  "fulltext_url": null,
  "id": "ajef74srn7pbq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08460",
  "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",
      "hep-ph"
    ],
    [
      "arxiv",
      "physics.data-an"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7212033437",
  "pdf_url": "https://arxiv.org/pdf/2609.08460",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ajef74srn7pbq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:52Z",
      "native_id": "2609.08460",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08460"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.data-an",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Finding the distribution of matter using lenses - II: deconvolution-based reconstruction with 3x2pt measurements",
  "title_text": "Finding the distribution of matter using lenses - II: deconvolution-based reconstruction with 3x2pt measurements",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:52Z",
  "url": "https://research.draconitic.com/paper/ajef74srn7pbq",
  "venue": "arXiv",
  "versions": []
}