Enhancing Cosmological Constraints by Two-dimensional $\beta$-cosmic-web Weighted Angular Correlation Functions

Abstract

In this study, we investigate the potential of mark-weighted angular correlation functions (MACFs), which integrate $\beta$-cosmic-web classification with angular correlation function analysis to improve cosmological constraints. Using SDSS DR12 CMASS-NGC galaxies and mock catalogs with ${\Omega }_m$ varying from 0.25 to 0.40, we assess the discriminative power of different statistics via the average improvement in chi-squared, $\Delta \overline{{\chi }^2}$, across six redshift bins. This metric quantifies how effectively each statistic distinguishes between different cosmological models. Incorporating cosmic-web weights leads to substantial improvements. Using statistics weighted by the mean neighbor distance (${\bar{D}}_{\mathrm{nei}}$) increases $\Delta \overline{{\chi }^2}$ by approximately 40%-130%, while applying inverse mean neighbor distance weighting ($1/{\bar{D}}_{\mathrm{nei}}$) yields even larger gains, boosting $\Delta \overline{{\chi }^2}$ by a factor of 2-3 compared to traditional unweighted angular statistics. These enhancements are consistent with previous 3D clustering results, demonstrating the superior sensitivity of the $\beta$-weighted approaches. Our method, based on thin redshift slices, is particularly suited for slitless surveys (e.g., Euclid, CSST) where redshift uncertainties limit 3D analyses. This study also offers a framework for applying marked statistics to 2D angular clustering.

arXiv comment16pages, 10figures, accepted by Research in Astronomy and Astrophysics(RAA)

References in corpus (79)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• The Sloan Digital Sky Survey: Technical Summary
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Populating a cluster of galaxies - I. Results at z=0
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• SDSS-III: Massive Spectroscopic Surveys of the Distant Universe, the Milky Way Galaxy, and Extra-Solar Planetary Systems
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• The 3D power spectrum of galaxies from the SDSS
• The Sixth Data Release of the Sloan Digital Sky Survey
• Observational Probes of Cosmic Acceleration
• How Filaments are Woven into the Cosmic Web
• The Second Data Release of the Sloan Digital Sky Survey
• The Fourth Data Release of the Sloan Digital Sky Survey
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• Spectroscopic Target Selection for the Sloan Digital Sky Survey: The Luminous Red Galaxy Sample
• The First Data Release of the Sloan Digital Sky Survey
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• Ahf: Amiga's Halo Finder
• Dark Energy
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• The 2MASS Redshift Survey - Description and Data Release
• The persistent cosmic web and its filamentary structure I: Theory and implementation
• Spectral Classification and Redshift Measurement for the SDSS-III Baryon Oscillation Spectroscopic Survey
• Euclid. I. Overview of the Euclid mission
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• Properties of Dark Matter Haloes in Clusters, Filaments, Sheets and Voids
• Overview of the Instrumentation for the Dark Energy Spectroscopic Instrument
• A Map of the Universe
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). An unprecedented view of galaxies and large-scale structure at 0.5<z<1.2
• Solving Large Scale Structure in Ten Easy Steps with COLA
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release
• Cosmology from the Chinese Space Station Optical Survey (CSS-OS)
• A Dynamical Classification of the Cosmic Web
• The WiggleZ Dark Energy Survey: Final data release and cosmological results
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• Theoretical Models of Dark Energy
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Modeling the clustering and halo occupation distribution of BOSS-CMASS galaxies in the Final Data Release
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the large-scale two-point correlation function
• A kinematic classification of the cosmic web
• Modelling Baryon Acoustic Oscillations with Perturbation Theory and Stochastic Halo Biasing
• Euclid. III. The NISP Instrument
• The Angular Correlation Function of Galaxies from Early SDSS Data
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological constraints from the full shape of the clustering wedges
• Euclid. II. The VIS Instrument
• Cosmic web alignments with the shape, angular momentum and peculiar velocities of dark matter haloes
• A marked correlation function for constraining modified gravity models
• Baryon Acoustic Oscillations from the SDSS DR10 galaxies angular correlation function
• Angular Baryon Acoustic Oscillation measure at z=2.225 from the SDSS quasar survey
• A large accretion disk of extreme eccentricity in the TDE ASASSN-14li
• Linear redshift space distortions for cosmic voids based on galaxies in redshift space
• Measuring the transverse baryonic acoustic scale from the SDSS DR11 galaxies
• The SDSS Galaxy Angular Two-Point Correlation Function
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: combining correlated Gaussian posterior distributions
• Euclid: Early Release Observations -- Programme overview and pipeline for compact- and diffuse-emission photometry
• Caustic Skeleton & Cosmic Web
• Measurement of marked correlation functions in SDSS-III Baryon Oscillation Spectroscopic Survey using LOWZ galaxies in Data Release 12
• The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints
• (DarkAI) Mapping the large-scale density field of dark matter using artificial intelligence
• Beta-Skeleton Analysis of the Cosmic Web
• Probing cosmic isotropy in the Local Universe
• CSST large-scale structure analysis pipeline: I. constructing reference mock galaxy redshift surveys
• Simulation of CSSTs astrometric capability
• Using the Mark Weighted Correlation Functions to Improve the Constraints on Cosmological Parameters
• Dynamical dark energy in light of cosmic distance measurements II: a study using current observations
• Fast generation of mock galaxy catalogues with COLA
• The four cosmic tidal web elements from the $\beta$-skeleton
• Exploring Alternative Cosmologies with the LSST: Simulated Forecasts and Current Observational Constraints
• Improving Constraint on ${\Omega }_m$ from SDSS Using Marked Correlation Functions
• Improving SDSS cosmological constraints through $\beta$-skeleton weighted correlation functions
• Tomographic Alcock-Paczynski Method with Redshift Errors
• Baryon Acoustic Oscillations analyses with Density-Split Statistics
• The Angular Correlation Function as measured by the GLEAM-X Survey