2025/07/24 by Xiaoyun Shao, Shao, Xiaoyun, Rodrigo Gonçalves +7
Physics and Astronomy · #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.2507.18720
openalex publication_date 2025/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a novel cosmological analysis based on the angular correlation dimension D2 curve, a cumulative statistic derived from the two-point correlation function. Unlike traditional 3D approaches, angular D2 is inherently less sensitive to nonlinear dynamical distortions, such as the small-scale Finger-of-God (FoG) effect. Using both MultiDark-Patchy and EZmock galaxy catalogs, we assess the scale-dependent impact of redshift-space distortions on D2 and bias measurements. We demonstrate that the systematic errors associated with FoG modeling can be significantly reduced by restricting the analysis to appropriate minimum comoving angular scales of ∼ 1.25∘ , which corresponding to physical scales of 18-23 h-1 Mpc over the redshift range 0.46 ≤ z ≤ 0.74 within the standard ΛCDM model. Since the observational estimative of D2(θ) is not dependent on a cosmological model we obtain robust estimates of the galaxy bias and place competitive constraints on the physical matter density ωm. By applying this framework to SDSS DR12 and DR16 Luminous Red Galaxy data, we obtain ωm = 0.137+0.041-0.059 (1σ), which agrees with current CMB analyses. Our results highlight the potential of the angular D2 curve as a model-independent and robust tool for cosmological parameter inference.