Probing cosmology via the clustering of critical points

Abstract

Exclusion zones in the cross-correlations between critical points (peak-void, peak-wall, filament-wall, filament-void) of the density field define quasi-standard rulers that can be used to constrain dark matter and dark energy cosmological parameters. The average size of the exclusion zone is found to scale linearly with the typical distance between extrema. The latter changes as a function of the matter content of the universe in a predictable manner, but its comoving size remains essentially constant in the linear regime of structure growth on large scales, unless the incorrect cosmology is assumed in the redshift-distance relation. This can be used to constrain the dark energy parameters when considering a survey that scans a range of redshifts. The precision of the parameter estimation is assessed using a set of cosmological simulations, and is found to be a 4$\sigma$ detection of a change in matter content of 5%, or about 3.8$\sigma$ detection of 50% shift in the dark energy parameter using a full sky survey up to redshift 0.5.

arXiv comment12 pages (including a 3-page appendix, 9 figures, 2 tables. Submitted to MNRAS

References in corpus (88)

• 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 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• An analytic model for the spatial clustering of dark matter haloes
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• How Filaments are Woven into the Cosmic Web
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• The persistent cosmic web and its filamentary structure II: Illustrations
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from the anisotropic power spectrum of the Quasar sample between redshift 0.8 and 2.2
• The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at $z\sim 1.4$
• Beyond genus statistics: a unifying approach to the morphology of cosmic structure
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• Skewness and Kurtosis in Large-Scale Cosmic Fields
• The WiggleZ Dark Energy Survey: measuring the cosmic expansion history using the Alcock-Paczynski test and distant supernovae
• Biasing and the distribution of dark matter haloes
• Detection of Baryon Acoustic Oscillation Features in the Large-Scale 3-Point Correlation Function of SDSS BOSS DR12 CMASS Galaxies
• The three dimensional skeleton: tracing the filamentary structure of the universe
• Second-order Lagrangian perturbation theory initial conditions for resimulations
• Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
• The Topology of the Cosmic Web in Terms of Persistent Betti Numbers
• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• Minkowski Functionals of SDSS galaxies I : Analysis of Excursion Sets
• Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure
• The WiggleZ Dark Energy Survey: constraining galaxy bias and cosmic growth with 3-point correlation functions
• Non-Gaussian statistics of critical sets in 2 and 3D: Peaks, voids, saddles, genus and skeleton
• Moments of the Counts Distribution in the 1.2 Jy IRAS Redshift Survey
• The Effect of Large-Scale Structure on the SDSS Galaxy Three-Point Correlation Function
• GOTPM: A Parallel Hybrid Particle-Mesh Treecode
• Wide-Field InfraRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA Final Report
• Measurement of Parity-Odd Modes in the Large-Scale 4-Point Correlation Function of SDSS BOSS DR12 CMASS and LOWZ Galaxies
• Tree structure of the percolating Universe
• The Local Theory of the Cosmic Skeleton
• The 2dF Galaxy Redshift Survey: higher order galaxy correlation functions
• Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
• The fully connected N-dimensional skeleton: probing the evolution of the cosmic web
• Back in the saddle: Large-deviation statistics of the cosmic log-density field
• Cosmological structure formation with clustering quintessence
• Betti numbers of Gaussian fields
• Large-Scale Structure of the Universe as a Cosmic Standard Ruler
• 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
• Cosmological Information in the Marked Power Spectrum of the Galaxy Field
• Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams
• Detection of Network Structure in the Las Campanas Redshift Survey
• Three-Point Correlations in the COBE-DMR Two-Year Anisotropy Maps
• Testing modified gravity using a marked correlation function
• The Detailed Science Case for the Maunakea Spectroscopic Explorer, 2019 edition
• WEAVE-QSO: A Massive Intergalactic Medium Survey for the William Herschel Telescope
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Dynamical dark energy
• Peak exclusion, stochasticity and convergence of perturbative bias expansions in 1+1 gravity
• Using the topology of large-scale structure in the WiggleZ Dark Energy Survey as a cosmological standard ruler
• Cosmology from weak lensing peaks and minima with Subaru Hyper Suprime-Cam survey first-year data
• Topology of the Galaxy Distribution in the Hubble Deep Fields
• Tomographic Alcock-Paczynski Test with Redshift-Space Correlation Function: Evidence for the Dark Energy Equation of State Parameter w>-1
• 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
• Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?
• Minkowski Tensors in Two Dimensions - Probing the Morphology and Isotropy of the Matter and Galaxy Density Fields
• Constraining beta(z) and Omega_m from redshift-space distortions in z~3 galaxy surveys
• Probability distribution function of the aperture mass field with large deviation theory
• When do cosmic peaks, filaments or walls merge? A theory of critical events in a multi-scale landscape
• A First Detection of the Connected 4-Point Correlation Function of Galaxies Using the BOSS CMASS Sample
• Hot and cold spots counts as probes of non-Gaussianity in the CMB
• BOOMERanG Constraints on Primordial Non-Gaussianity from Analytical Minkowski Functionals
• Evidence for baryon acoustic oscillations from galaxy-ellipticity correlations
• Topology of non-linear structure in the 2dF Galaxy Redshift Survey
• Beyond Kaiser bias: mildly non-linear two-point statistics of densities in distant spheres
• The clustering of critical points in the evolving cosmic web
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Hierarchical scaling and biasing
• Tight $H_0$ constraint from galaxy redshfit surveys: combining baryon acoustic osillation measurements and Alcock-Paczynski test
• Cosmological Parameter Estimation Using the Genus Amplitude - Application to Mock Galaxy Catalogs
• Alcock-Paczynski Test with the Evolution of Redshift-Space Galaxy Clustering Anisotropy
• Cosmological Information from the Small-scale Redshift Space Distortions
• Percolation Analysis of a Wiener Reconstruction of the IRAS 1.2 Jy Redshift Catalog
• Probing Dark Energy with Alpha Shapes and Betti Numbers
• Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Expansion History using the Genus Amplitude as a Standard Ruler
• Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Shape of the Matter Power Spectrum
• Construction of the one-point PDF of the local aperture mass in weak lensing maps
• Morphology of CMB fields -- effect of weak gravitational lensing
• First test of the consistency relation for the large-scale structure using the anisotropic three-point correlation function of BOSS DR12 galaxies (An explanatory video is available at https://youtu.be/Zi36ooLPhss.)
• Geometrical measures of non-Gaussianity generated from single field Inflationary models
• The cumulant generating function as a novel observable to cumulate weak lensing information

Cited by in corpus (3)

• Cosmic Strings-induced CMB anisotropies in light of Weighted Morphology
• Impact of Redshift Space Distortion on Persistent Homology of cosmic matter density field
• Euclid preparation. 3D reconstruction of the cosmic web with simulated Euclid Deep spectroscopic samples