Improving SDSS cosmological constraints through $\beta$-skeleton weighted correlation functions

Abstract

The $\beta$-skeleton approach can be conveniently utilized to construct the cosmic web based on the spatial geometry distribution of galaxies, particularly in sparse samples. This method plays a key role in establishing the three-dimensional structure of the Universe and serves as a tool for quantitatively characterizing the nature of the cosmic web. This study is the first application of $\beta$-skeleton information as weights in mark weighted correlation functions (MCFs), presenting a novel statistical measure. We have applied the $\beta$-skeleton approach to the CMASS NGC galaxy samples from SDSS BOSS DR12 in the redshift interval $0.45\le z\le 0.55$. Additionally, we applied this approach to three COLA cosmological simulations with different settings (${\Omega }_m=0.25,{\Omega }_m=0.31,{\Omega }_m=0.4$) for comparison. We measured three MCFs, each weighted by i) the number of neighboring galaxies around each galaxy, ii) the average distance of each galaxy from its surrounding neighbors, and iii) the reciprocal of the average distance of each galaxy from its surrounding neighbors. By comparing measurements and calculating corresponding ${\chi }^2$ statistics, we observe high sensitivity to the cosmological parameter ${\Omega }_m$ through a joint analysis of the two-point correlation and three MCFs.

16 pages,12 figues

References in corpus (16)

• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Properties of galaxies reproduced by a hydrodynamic simulation
• Introducing the Illustris Project: the evolution of galaxy populations across cosmic time
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Properties of Dark Matter Haloes in Clusters, Filaments, Sheets and Voids
• Overview of the Instrumentation for the Dark Energy Spectroscopic Instrument
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• AbacusSummit: A Massive Set of High-Accuracy, High-Resolution $N$-Body Simulations
• Cosmic web alignments with the shape, angular momentum and peculiar velocities of dark matter haloes
• A marked correlation function for constraining modified gravity models
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: application to the SDSS-III BOSS DR12 galaxies
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: combining correlated Gaussian posterior distributions
• Measurement of marked correlation functions in SDSS-III Baryon Oscillation Spectroscopic Survey using LOWZ galaxies in Data Release 12
• Graph Database Solution for Higher Order Spatial Statistics in the Era of Big Data
• Using the Mark Weighted Correlation Functions to Improve the Constraints on Cosmological Parameters
• Fast generation of mock galaxy catalogues with COLA

Cited by in corpus (3)

• Deep learning for cosmological parameter inference from a dark matter halo density field
• Enhancing Cosmological Constraints by Two-dimensional $\beta$-cosmic-web Weighted Angular Correlation Functions
• Tomographic Alcock-Paczynski Test with Marked Correlation Functions