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The Manticore-Local Cluster Catalogue: A Posterior Map of Massive Structures in the Nearby Universe

Stuart McAlpine

Abstract

We present a publicly available catalogue of massive structures in the nearby Universe, constructed from the Manticore-Local posterior ensemble -- a Bayesian reconstruction of the local Universe from 2M++ galaxies. We identify massive structures by clustering central haloes at $z = 0$ across the 80 posterior realizations, selecting at most one member per realization. These $\textit{associations}$ serve as probabilistic counterparts to individual massive clusters, each with robust posterior estimates of mass, position, and velocity. The catalogue contains 225 associations with mean masses $\langle M_{200} \rangle > 10^{14}$ M$_{\odot}$ persisting in at least 50\% of realizations. We independently validate these systems through stacked \textit{Planck} thermal Sunyaev--Zel'dovich measurements, which yield significant detections ($>3σ$) with amplitudes following the expected $Y$--$M$ relation. Many associations exhibit coherent evolutionary histories: even with only $z = 0$ constraints, the inference narrows each system's possible assembly pathway, localizing progenitor configurations to volumes 2--5 times smaller than mass-matched haloes in unconstrained $Λ$CDM simulations. Cross-matches with X-ray catalogues reveal systematic mass-scale differences that align with known observational biases: \textsc{Manticore-Local} masses are typically twice ROSAT-based estimates but agree at unity with weak-lensing-calibrated eROSITA measurements. This demonstrates the catalogue's capability to diagnose systematics on an object-by-object basis. The resulting catalogue provides an observationally consistent map of massive structures in the local Universe, enabling direct cross-probe comparisons, hybrid analyses combining simulated and observed quantities, and systematic mass-scale studies.

The Manticore-Local Cluster Catalogue: A Posterior Map of Massive Structures in the Nearby Universe

Abstract

We present a publicly available catalogue of massive structures in the nearby Universe, constructed from the Manticore-Local posterior ensemble -- a Bayesian reconstruction of the local Universe from 2M++ galaxies. We identify massive structures by clustering central haloes at across the 80 posterior realizations, selecting at most one member per realization. These serve as probabilistic counterparts to individual massive clusters, each with robust posterior estimates of mass, position, and velocity. The catalogue contains 225 associations with mean masses M persisting in at least 50\% of realizations. We independently validate these systems through stacked \textit{Planck} thermal Sunyaev--Zel'dovich measurements, which yield significant detections () with amplitudes following the expected -- relation. Many associations exhibit coherent evolutionary histories: even with only constraints, the inference narrows each system's possible assembly pathway, localizing progenitor configurations to volumes 2--5 times smaller than mass-matched haloes in unconstrained CDM simulations. Cross-matches with X-ray catalogues reveal systematic mass-scale differences that align with known observational biases: \textsc{Manticore-Local} masses are typically twice ROSAT-based estimates but agree at unity with weak-lensing-calibrated eROSITA measurements. This demonstrates the catalogue's capability to diagnose systematics on an object-by-object basis. The resulting catalogue provides an observationally consistent map of massive structures in the local Universe, enabling direct cross-probe comparisons, hybrid analyses combining simulated and observed quantities, and systematic mass-scale studies.
Paper Structure (13 sections, 3 equations, 9 figures)

This paper contains 13 sections, 3 equations, 9 figures.

Figures (9)

  • Figure 1: Median association properties as a function of mean mass $\langle M_{200} \rangle$, shown separately for associations with $40$--$60$ (red) and $60$--$80$ (grey) member haloes. Top: three-dimensional positional scatter $\sigma_R$. Bottom: axis ratio $b/a$. Shaded regions show the 25--75th percentiles. Associations with more members are typically more compact. The most massive systems show larger three-dimensional scatter due to their lower $b/a$ ratios, reflecting elongation along large-scale filaments or redshift-space distortions. These distributions validate our choice of clustering parameters, demonstrating that associations exhibit the expected tight spatial coherence without artificial fragmentation.
  • Figure 2: Examples of identified halo associations in three orthogonal projections. Distinct associations are shown with different colours and symbols; circles mark the $1\sigma$ positional scatter of member haloes across the posterior. The examples illustrate that the clustering procedure recovers coherent structures without artificial fragmentation or over-merging, confirming the robustness of our hyperparameter choices in the DBSCAN algorithm.
  • Figure 3: Spatial distribution of the 225 posterior halo associations with $\langle M_{200} \rangle \geq 10^{14}$ M$_\odot$. Left: equatorial Cartesian coordinates centred on the observer, with the dashed circle marking a 300 Mpc radius. Each point shows an individual halo contributing to a posterior association. Right: celestial coordinates (Mollweide projection) showing broad sky coverage. The reduced density near the Galactic plane reflects the lower completeness of the 2M++ survey in this region.
  • Figure 4: Distribution of mean distances for the 225 posterior halo associations. The red dashed line indicates the expected $N \propto R^2$ scaling for a uniform spatial distribution in Euclidean space. The distribution broadly follows this scaling to $\approx$150 Mpc before declining at larger distances. This decline reflects the fact that our catalogue prioritizes robustness over completeness, retaining only associations that are consistently recovered across the posterior.
  • Figure 5: Top row: Stacked Planck PR4 NILC $y$-map patches for systems with $3\times10^{14} \leq M_{500}/M_\odot < 4\times10^{14}$ and $z \leq 0.06$, drawn from the Manticore-Local posterior halo associations, the eROSITA eRASS1 catalogue, the MCXC-II meta-catalogue, and a mask-aware null test using random sky positions. Circles mark the mean inner and outer aperture sizes ($\propto r_{500}$). Bottom row: Corresponding stacked radial $y$-profiles, with bootstrap uncertainties. Manticore-Local produces clear, spatially localized tSZ decrements ($\sigma > 3$) in agreement with external catalogs, though with reduced central amplitudes likely due to $\sim$2--3 Mpc positional scatter. The null test yields no significant signal ($\sigma < 1.0$), confirming the robustness of the detections.
  • ...and 4 more figures