{
  "abstract": "Stacking is the standard route to signal-to-noise in cluster weak lensing, but it destroys the cluster-by-cluster information that scaling-relation studies need. We instead fit every cluster's individual $ΔΣ$ profile simultaneously, tying its mass and concentration to its own richness, redshift and magnitude gap, and compare with two stacked analyses of the same data: a forward-modelled stack sharing the same model and priors, and the standard two-step analysis. The magnitude gap (the BCG-to-brightest-satellite magnitude difference) enters the concentration, which the fossil-group picture ties to earlier assembly and more relaxed systems. On mock populations with triaxial haloes and miscentering, at DES Y3-like and LSST-like density, all three analyses recover the injected gap slope $γ_{\\mathrm{cm}}$ with uncertainties that match the scatter between realisations, but not equally precisely: the joint fit scatters 1.2--1.3 times less than the forward-modelled stack, and 2 (DES-like) to 6.5 (LSST-like) times less than the two-step analysis, which is also biased in several other scaling-relation parameters. Applied to WaZP clusters with DES Y3 shears, the joint and forward-modelled fits agree on the gap coupling once the mass at fixed richness also depends on the gap, $γ_{\\mathrm{cm}} = 0.065 \\pm 0.033$ (forward-modelled) and$0.007^{+0.032}_{-0.033}$~mag$^{-1}$ (joint); the joint value is consistent with no coupling, so neither is a detection. The mass--concentration slope is consistent with zero in both, as expected from the upturn of the \\citet{diemer2019} relation over this mass range. A gap coupling obtained in a model where the gap enters only the concentration need not survive a modest extension of that model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26492",
  "author_total": 2,
  "authors": [
    {
      "name": "André Z. Vitorelli"
    },
    {
      "name": "Eduardo S. Cypriano"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/121sp6gffg97w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26492",
  "fulltext_url": null,
  "id": "121sp6gffg97w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26492",
  "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",
      "astro-ph.CO"
    ],
    [
      "openalex",
      "3103|Galaxies: Formation, Evolution, Phenomena"
    ]
  ],
  "openalex": "W7223012113",
  "pdf_url": "https://arxiv.org/pdf/2610.26492",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/121sp6gffg97w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26492",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26492"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    }
  ],
  "title": "Joint Fit of Galaxy Cluster Scaling Relations from Individual Weak Lensing Data: Comparison with Stacked Analysis and a Real Data Test",
  "title_text": "Joint Fit of Galaxy Cluster Scaling Relations from Individual Weak Lensing Data: Comparison with Stacked Analysis and a Real Data Test",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/121sp6gffg97w",
  "venue": "arXiv",
  "versions": []
}