Improving Constraint on ${\Omega }_m$ from SDSS Using Marked Correlation Functions

Abstract

Large-scale structure (LSS) surveys will increasingly provide stringent constraints on our cosmological models. Recently, the density-marked correlation function (MCF) has been introduced, offering an easily computable density-correlation statistic. Simulations have demonstrated that MCFs offer additional, independent constraints on cosmological models beyond the standard two-point correlation (2PCF). In this study, we apply MCFs for the first time to SDSS CMASS data, aiming to investigate the statistical information regarding clustering and anisotropy properties in the Universe and assess the performance of various weighting schemes in MCFs. Upon analyzing the CMASS data, we observe that, by combining different weights ($\alpha =[-0.2,0,0.2,0.6]$), the MCFs provide a tight and independent constraint on the cosmological parameter ${\Omega }_m$, yielding ${\Omega }_m=0.293\pm 0.006$ at the $1\sigma$ level, which represents a significant reduction in the statistical error by a factor of 3.4 compared to that from 2PCF. Our constraint is consistent with recent findings from the small-scale clustering of BOSS galaxies \cite{arXiv:2203.08999v2} within the 1$\sigma$ level. However, we also find that our estimate is lower than the Planck measurements by about 2.6$\sigma$, indicating the potential presence of new physics beyond the standard cosmological model if all the systematics are fully corrected. The method outlined in this study can be extended to other surveys and datasets, allowing for the constraint of other cosmological parameters. Additionally, it serves as a valuable tool for forthcoming emulator analysis on the Chinese Space Station Telescope (CSST).

arXiv comment16 pages, 10 figures

References in corpus (80)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Sloan Digital Sky Survey: Technical Summary
• Planck 2013 results. XVI. Cosmological parameters
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Baryonic Features in the Matter Transfer Function
• 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 Sloan Digital Sky Survey Photometric Camera
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• Observational Probes of Cosmic Acceleration
• The Multi-Object, Fiber-Fed Spectrographs for SDSS and the Baryon Oscillation Spectroscopic Survey
• MultiDark simulations: the story of dark matter halo concentrations and density profiles
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Dark Energy
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
• The 2MASS Redshift Survey - Description and Data Release
• Probing dark energy using baryonic oscillations in the galaxy power spectrum as a cosmological ruler
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9
• Measuring the cosmological constant with redshift surveys
• 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
• On the environmental dependence of halo formation
• 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 fitting formula for the merger timescale of galaxies in hierarchical clustering
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS): measuring growth rate and geometry with anisotropic clustering
• Precision cosmography with stacked voids
• 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
• The First Round Result from the TianQin-1 Satellite
• The WiggleZ Dark Energy Survey: measuring the cosmic expansion history using the Alcock-Paczynski test and distant supernovae
• The Luminosity-Weighted or `Marked' Correlation Function
• Detection of Baryon Acoustic Oscillation Features in the Large-Scale 3-Point Correlation Function of SDSS BOSS DR12 CMASS Galaxies
• Revealing Intrinsic Flat $\Lambda$CDM Biases with Standardizable Candles
• Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological constraints from the full shape of the clustering wedges
• Measuring q_0 from the Distortion of Voids in Redshift Space
• Luminosity- and morphology-dependent clustering of galaxies
• A marked correlation function for constraining modified gravity models
• Forecast for cosmological parameter estimation with gravitational-wave standard sirens from the LISA-Taiji network
• Horizon Run 4 Simulation: Coupled Evolution of Galaxies and Large-scale Structures of the Universe
• Linear redshift space distortions for cosmic voids based on galaxies in redshift space
• Spatial distribution of galactic halos and their merger histories
• The Aemulus Project V: Cosmological constraint from small-scale clustering of BOSS galaxies
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: application to the SDSS-III BOSS DR12 galaxies
• Breaking Halo Occupation Degeneracies with Marked Statistics
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: combining correlated Gaussian posterior distributions
• Cosmological Information in the Marked Power Spectrum of the Galaxy Field
• What does the Marked Power Spectrum Measure? Insights from Perturbation Theory
• Cosmology with fast radio bursts in the era of SKA
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Dynamical dark energy
• Measurement of marked correlation functions in SDSS-III Baryon Oscillation Spectroscopic Survey using LOWZ galaxies in Data Release 12
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski test: galaxy density gradient field
• Cosmology with photometric weak lensing surveys: constraints with redshift tomography of convergence peaks and moments
• Graph Database Solution for Higher Order Spatial Statistics in the Era of Big Data
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski test and volume effect: galaxy two-point correlation function
• Non-parametric dark energy reconstruction using the tomographic Alcock-Paczynski test
• Cosmological parameter measurement and neutral hydrogen 21 cm sky survey with the Square Kilometre Array
• Prospects for measuring dark energy with 21 cm intensity mapping experiments: A joint survey strategy
• Forecast of Cosmological Constraints with Type Ia Supernovae from the Chinese Space Station Telescope
• (DarkAI) Mapping the large-scale density field of dark matter using artificial intelligence
• DESI Legacy Imaging Surveys Data Release 9: Cosmological Constraints from Galaxy Clustering and Weak Lensing using the Minimal Bias Model
• Alcock-Paczynski Test with the Evolution of Redshift-Space Galaxy Clustering Anisotropy
• Clustering with general photo-$z$ uncertainties: Application to Baryon Acoustic Oscillations
• The redshift dependence of Alcock-Paczynski effect: cosmological constraints from the current and next generation observations
• Probing scalar tensor theories for gravity in redshift space
• Galaxy and Mass Assembly (GAMA): Tracing galaxy environment using the marked correlation function
• Using the Mark Weighted Correlation Functions to Improve the Constraints on Cosmological Parameters
• A new test of gravity -- II: Application of marked correlation functions to luminous red galaxy samples

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• Deep learning for cosmological parameter inference from a dark matter halo density field
• Cosmological Constraints with Void Lensing I: the Simulation-Based Inference Framework
• Enhancing Cosmological Constraints by Two-dimensional $\beta$-cosmic-web Weighted Angular Correlation Functions
• Marked statistics across the cosmic web: Environmental dependent clustering in modified gravity simulations
• Tomographic Alcock-Paczynski Test with Marked Correlation Functions