Redshift-space distortions with split densities

Abstract

Accurate modelling of redshift-space distortions (RSD) is challenging in the non-linear regime for two-point statistics e.g. the two-point correlation function (2PCF). We take a different perspective to split the galaxy density field according to the local density, and cross-correlate those densities with the entire galaxy field. Using mock galaxies, we demonstrate that combining a series of cross-correlation functions (CCFs) offers improvements over the 2PCF as follows: 1. The distribution of peculiar velocities in each split density is nearly Gaussian. This allows the Gaussian streaming model for RSD to perform accurately within the statistical errors of a ($1.5h^{-1}$Gpc)${}^3$ volume for almost all scales and all split densities. 2. The PDF of the density field at small scales is non-Gaussian, but the CCFs of split densities capture the non-Gaussianity, leading to improved cosmological constraints over the 2PCF. We can obtain unbiased constraints on the growth parameter $f{\sigma }_{12}$ at the per-cent level, and Alcock-Paczynski (AP) parameters at the sub-per-cent level with the minimal scale of $15h^{-1}\mathrm{Mpc}$. This is a $\sim$30 per cent and $\sim$6 times improvement over the 2PCF, respectively. The diverse and steep slopes of the CCFs at small scales are likely to be responsible for the improved constraints of AP parameters. 3. Baryon acoustic oscillations (BAO) are contained in all CCFs of split densities. Including BAO scales helps to break the degeneracy between the line-of-sight and transverse AP parameters, allowing independent constraints on them. We discuss and compare models for RSD around spherical densities.

arXiv comment23 pages, 16 figures, MNRAS accepted version after peer review, minor comments

References in corpus (115)

• The cosmological simulation code GADGET-2
• Dynamics of dark energy
• 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
• Beyond the Cosmological Standard Model
• Analytic model for galaxy and dark matter clustering
• Halo occupation numbers and galaxy bias
• The Dark Side of the Halo Occupation Distribution
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• Euclid Definition Study Report
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• redMaPPer I: Algorithm and SDSS DR8 Catalog
• Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters
• Cosmological Tests of Modified Gravity
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• Redshift-Space Distortions, Pairwise Velocities and Nonlinearities
• 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
• The Nature of Galaxy Bias and Clustering
• Fingers of God
• Parameterized Beyond-Einstein Growth
• Measuring the cosmological constant with redshift surveys
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• The Physics of Galaxy Clustering I: A Model for Subhalo Populations
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: a large sample of mock galaxy catalogues
• Cosmology and the Bispectrum
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at $z\sim 1.4$
• Parameter inference with estimated covariance matrices
• Galaxy And Mass Assembly (GAMA): improved cosmic growth measurements using multiple tracers of large-scale structure
• Towards an accurate model of the redshift space clustering of halos in the quasilinear regime
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the configuration-space clustering wedges
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): The growth of structures at $0.5<z<1.2$ from redshift-space distortions in the clustering of the PDR-2 final sample
• Universal Density Profile for Cosmic Voids
• Constraints on Cosmology and Gravity from the Dynamics of Voids
• Rejuvenating the matter power spectrum: restoring information with a logarithmic density mapping
• On The Validity of the Streaming Model for the Redshift-Space Correlation Function in the Linear Regime
• Gaussian covariance matrices for anisotropic galaxy clustering measurements
• One simulation to fit them all - changing the background parameters of a cosmological N-body simulation
• A first application of the Alcock-Paczynski test to stacked cosmic voids
• Spatial and Dynamical Properties of Voids in a LCDM Universe
• The Aemulus Project III: Emulation of the Galaxy Correlation Function
• Separate Universe Simulations
• Beyond BAO: improving cosmological constraints from BOSS with measurement of the void-galaxy cross-correlation
• Probing cosmology and gravity with redshift-space distortions around voids
• Properties of the Cosmological Density Distribution Function
• The Santiago-Harvard-Edinburgh-Durham void comparison I: SHEDding light on chameleon gravity tests
• Second-order Lagrangian perturbation theory initial conditions for resimulations
• Modelling redshift space distortions in hierarchical cosmologies
• Density split statistics: Cosmological constraints from counts and lensing in cells in DES Y1 and SDSS data
• First measurement of gravitational lensing by cosmic voids in SDSS
• Cosmic Voids: structure, dynamics and galaxies
• Cosmic Voids and Void Lensing in the Dark Energy Survey Science Verification Data
• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• Clues on void evolution II: Measuring density and velocity profiles on SDSS galaxy redshift space distortions
• Redshift-Space Distortions with the Halo Occupation Distribution II: Analytic Model
• Redshift-space distortions around voids
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological constraints from the full shape of the clustering wedges
• The Gaussian streaming model and Lagrangian effective field theory
• The Cross-Correlation between Galaxies and Groups: Probing the Galaxy Distribution in and around Dark Matter Haloes
• Linear and nonlinear contributions to pairwise peculiar velocities
• Lensing Measurements of the Mass Distribution in SDSS Voids
• Density split statistics: joint model of counts and lensing in cells
• Distribution function approach to redshift space distortions
• The Weight of Emptiness: The Gravitational Lensing Signal of Stacked Voids
• Comparing approximate methods for mock catalogues and covariance matrices I: correlation function
• Arguments against using $h^{-1}\mathrm{Mpc}$ units in observational cosmology
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: anisotropic clustering analysis in configuration-space
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: geometry and growth from the anisotropic void-galaxy correlation function in the luminous red galaxy sample
• On the streaming motions of haloes and galaxies
• A ``Skewed'' lognormal approximation to the probability distribution function of the large-scale density field
• Multipole analysis of redshift-space distortions around cosmic voids
• Exploring redshift-space distortions in large-scale structure
• On the linearity of tracer bias around voids
• Consistency of the growth rate in different environments with the 6dF Galaxy Survey: measurement of the void-galaxy and galaxy-galaxy correlation functions
• Back in the saddle: Large-deviation statistics of the cosmic log-density field
• The lensing and temperature imprints of voids on the Cosmic Microwave Background
• Dynamics of pairwise motions
• The Redshift-Space Cluster-Galaxy Cross-Correlation Function: I. Modeling Galaxy Infall onto Millennium Simulation Clusters and SDSS Groups
• On the signature of the baryon-dark matter relative velocity in the two and three-point galaxy correlation functions
• Modeling the large-scale redshift-space 3-point correlation function of galaxies
• Rejuvenating Power Spectra II: the Gaussianized galaxy density field
• An accurate linear model for redshift space distortions in the void-galaxy correlation function
• The APM cluster-galaxy cross-correlation function : Constraints on Omega and galaxy bias
• Measuring the mass distribution of voids with stacked weak lensing
• Redshift-space effects in voids and their impact on cosmological tests. Part I: the void size function
• Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space
• New constraints on the linear growth rate using cosmic voids in the SDSS DR12 datasets
• Perturbation Theory of the Cosmological Log-Density Field
• Constraints on the growth of structure around cosmic voids in eBOSS DR14
• Improving the modelling of redshift-space distortions - II. A pairwise velocity model covering large and small scales
• Baryon effects on void statistics in the EAGLE simulation
• Density distribution of the cosmological matter field
• The environmental dependence of clustering in hierarchical models
• Position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 10 CMASS Sample
• On Recovering the Nonlinear Bias Function from Counts in Cells Measurements
• Dependence of halo bias on mass and environment
• Rejuvenating the Matter Power Spectrum III: The Cosmology Sensitivity of Gaussianized Power Spectra
• The Gravitational Lensing Signatures of BOSS Voids in the Cosmic Microwave Background
• Galaxy Bias and ${\sigma }_8$ from Counts in Cells from the SDSS Main Sample
• Testing the spherical evolution of cosmic voids
• Non-fiducial cosmological test from geometrical and dynamical distortions around voids
• Towards a non-Gaussian model of redshift space distortions
• On the streaming model for redshift-space distortions
• Density-dependent clustering: I. Pulling back the curtains on motions of the BAO peak
• Precision Prediction for the Cosmological Density Distribution
• Group-galaxy correlations in redshift space as a probe of the growth of structure
• Improving baryon acoustic oscillation measurement with the combination of cosmic voids and galaxies
• Density and velocity profiles around cosmic voids
• The position-dependent matter density probability distribution function
• The End of Cosmic Growth
• The $n$-point streaming model: how velocities shape correlation functions in redshift space
• One-point probability distribution function from spherical collapse: Early Dark Energy (EDE) vs. $\Lambda$CDM
• A semi-analytic model of pairwise velocity distribution between dark matter halos

Cited by in corpus (38)

• Large-scale dark matter simulations
• Testing the theory of gravity with DESI: estimators, predictions and simulation requirements
• The GIGANTES dataset: precision cosmology from voids in the machine learning era
• Euclid: Forecasts from redshift-space distortions and the Alcock-Paczynski test with cosmic voids
• Cosmological Information in the Marked Power Spectrum of the Galaxy Field
• Revealing the properties of void galaxies and their assembly using the EAGLE simulation
• Redshift-space effects in voids and their impact on cosmological tests. Part II: the void-galaxy cross-correlation function
• Precise Cosmological Constraints from BOSS Galaxy Clustering with a Simulation-Based Emulator of the Wavelet Scattering Transform
• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• Cosmology with cosmic web environments I. Real-space power spectra
• Why Cosmic Voids Matter: Nonlinear Structure & Linear Dynamics
• Gravitational Redshift Constraints on the Effective Theory of Interacting Dark Energy
• Euclid: Cosmology forecasts from the void-galaxy cross-correlation function with reconstruction
• Dark Energy Survey Year 3 results: imprints of cosmic voids and superclusters in the Planck CMB lensing map
• The void-galaxy cross-correlation function with massive neutrinos and modified gravity
• Cosmological measurements from void-galaxy and galaxy-galaxy clustering in the Sloan Digital Sky Survey
• Cosmological Probes of Structure Growth and Tests of Gravity
• Galaxy clustering from the bottom up: A Streaming Model emulator I
• Towards unveiling the large-scale nature of gravity with the wavelet scattering transform
• Testing the equivalence principle across the Universe: a model-independent approach with galaxy multi-tracing
• Disentangling modified gravity from a dark force with gravitational redshift
• Challenges in Constraining Gravity with Cosmic Voids
• Alcock-Paczyński effect on void-finding: Implications for void-galaxy cross-correlation modelling
• Cosmology with cosmic web environments II. Redshift-space auto and cross power spectra
• Towards an optimal marked correlation function analysis for the detection of modified gravity
• Bayesian deep learning for cosmic volumes with modified gravity
• Unveiling the Universe with Emerging Cosmological Probes
• An Analytically Tractable Marked Power Spectrum
• The Compressed 3D Lyman-Alpha Forest Bispectrum
• Baryon Acoustic Oscillations analyses with Density-Split Statistics
• Cosmology with Cosmic Voids
• Bending the web: exploring the impact of modified gravity on the density field and halo properties within the cosmic web
• A theoretical approach to density-split clustering
• Adaptive friends-of-friends algorithm for identifying gravitationally bound cosmological structures
• Measurements of cosmic expansion and growth rate of structure from voids in the Sloan Digital Sky Survey between redshift 0.07 and 1.0
• Turning dispersion into signal: density-split analyses of pairwise velocities
• Indicator Functions: Distilling the Information from Gaussian Random Fields
• Cosmological Implications of Thermodynamic Split Conjecture