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Adaptive Reconstruction of Cluster Halos (ARCH): Integrating Shear and Flexion for Substructure Detection
Journal article   Open access   Peer reviewed

Adaptive Reconstruction of Cluster Halos (ARCH): Integrating Shear and Flexion for Substructure Detection

Jacob Shpiece and David M Goldberg
The Astrophysical journal, v 1003(2), 171
01 Jun 2026
url
https://doi.org/10.3847/1538-4357/ae681aView
Published, Version of Record (VoR) Open CC BY V4.0

Abstract

Bayesian analysis Clusters Gravitational lenses Halos Local optimization Reconstruction Resampling Shear Statistical inference Uncertainty
We present Adaptive Reconstruction of Cluster Halos (ARCH), a new gravitational lensing pipeline for cluster mass reconstruction that applies a joint shear-flexion analysis to JWST imaging. Previous approaches have explored joint shear+flexion reconstructions through forward modeling and Bayesian inference frameworks; in contrast, ARCH adopts a staged optimization strategy that incrementally filters and selects candidate halos rather than requiring a global likelihood model or strong priors. This design makes reconstructions computationally tractable and flexible, enabling systematic tests of multiple signal combinations within a unified framework. ARCH employs staged candidate generation, local optimization, filtering, forward selection, and global strength refinement, with a combined fit metric weighted by per-signal uncertainties. Applied to A2744 and El Gordo, the pipeline recovers convergence maps and subcluster masses consistent with published weak+strong lensing results. In A2744, the central core mass within 300 h−1 kpc is 2.1 × 1014 M⊙h−1, while in El Gordo, the northwestern and southeastern clumps are recovered at 2.6 × 1014 M⊙h−1 and 2.3 × 1014 M⊙h−1. Jackknife resampling indicates typical 1σ uncertainties of 1012–1013 M⊙h−1, with the all-signal and shear+ F reconstructions providing the most stable results. These results demonstrate that flexion, when anchored by shear, enhances sensitivity to cluster substructure while maintaining stable cluster-scale mass recovery.

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Astronomy & Astrophysics
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