Improving estimates of the growth rate using galaxy-velocity correlations: a simulation study

Abstract

We present an improved framework for estimating the growth rate of large-scale structure, using measurements of the galaxy-velocity cross-correlation in configuration space. We consider standard estimators of the velocity auto-correlation function, ${\psi }_1$ and ${\psi }_2$, the two-point galaxy correlation function, ${\xi }_{gg}$, and introduce a new estimator of the galaxy-velocity cross-correlation function, ${\psi }_3$. By including pair counts measured from random catalogues of velocities and positions sampled from distributions characteristic of the true data, we find that the variance in the galaxy-velocity cross-correlation function is significantly reduced. Applying a covariance analysis and ${\chi }^2$ minimisation procedure to these statistics, we determine estimates and errors for the normalised growth rate $f{\sigma }_8$ and the parameter $\beta =f/b$, where $b$ is the galaxy bias factor. We test this framework on mock hemisphere datasets for redshift $z<0.1$ with realistic velocity noise constructed from the L-PICOLA simulation code, and find that we are able to recover the fiducial value of $f{\sigma }_8$ from the joint combination of ${\psi }_1$ + ${\psi }_2$ + ${\psi }_3$ + ${\xi }_{gg}$, with 15\% accuracy from individual mocks. We also recover the fiducial $f{\sigma }_8$ to within 1$\sigma$ regardless of the combination of correlation statistics used. When we consider all four statistics together we find that the statistical uncertainty in our measurement of the growth rate is reduced by $59\%$ compared to the same analysis only considering ${\psi }_2$, by $53\%$ compared to the same analysis only considering ${\psi }_1$, and by $52\%$ compared to the same analysis jointly considering ${\psi }_1$ and ${\psi }_2$.

arXiv comment11 pages, 7 figures, accepted for publication in MNRAS

References in corpus (47)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• Baryonic Features in the Matter Transfer Function
• The Zwicky Transient Facility: System Overview, Performance, and First Results
• 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 DESI Experiment Part I: Science,Targeting, and Survey Design
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• Cosmic Growth History and Expansion History
• Cosmicflows-2: The Data
• The density and peculiar velocity fields of nearby galaxies
• Cosmicflows-3
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• Solving Large Scale Structure in Ten Easy Steps with COLA
• Consistently Large Cosmic Flows on Scales of 100 Mpc/h: a Challenge for the Standard LCDM Cosmology
• Cosmological parameters from the comparison of peculiar velocities with predictions from the 2M++ density field
• Analysis of Systematic Effects and Statistical Uncertainties in Angular Clustering of Galaxies from Early SDSS Data
• The Carnegie Supernova Project I: Third Photometry Data Release of Low-Redshift Type Ia Supernovae and Other White Dwarf Explosions
• Cosmic Flows on 100 Mpc/h Scales: Standardized Minimum Variance Bulk Flow, Shear and Octupole Moments
• The 6dF Galaxy Survey: Peculiar Velocity Field and Cosmography
• The growth rate of cosmic structure from peculiar velocities at low and high redshifts
• On The Validity of the Streaming Model for the Redshift-Space Correlation Function in the Linear Regime
• The Foundation Supernova Survey: Motivation, Design, Implementation, and First Data Release
• Testing $\Lambda$CDM at the lowest redshifts with SN Ia and galaxy velocities
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• The effect of peculiar velocities on supernova cosmology
• Joint analysis of 6dFGS and SDSS peculiar velocities for the growth rate of cosmic structure and tests of gravity
• The 6dF Galaxy Velocity Survey: Cosmological constraints from the velocity power spectrum
• Are peculiar velocity surveys competitive as a cosmological probe?
• Constraints on dark energy with the LOSS SN Ia sample
• The Taipan Galaxy Survey: Scientific Goals and Observing Strategy
• Streaming velocities as a dynamical estimator of Omega
• Fast and accurate mock catalogue generation for low-mass galaxies
• Cosmological Forecasts for Combined and Next Generation Peculiar Velocity Surveys
• The Redshift Space Momentum Power Spectrum II: measuring the growth rate from the combined 2MTF and 6dFGSv surveys
• Improving constraints on the growth rate of structure by modelling the density-velocity cross-correlation in the 6dF Galaxy Survey
• Peculiar velocities in redshift space: formalism, N-body simulations and perturbation theory
• New Gravitational Scales in Cosmological Surveys
• Joint growth rate measurements from redshift-space distortions and peculiar velocities in the 6dF Galaxy Survey
• An estimation of the Local growth rate from Cosmicflows-3 peculiar velocities
• Velocity-Density Correlations from the cosmicflows-3 Distance Catalog and the 2MASS Redshift Survey
• Power Spectrum of Cosmic Momentum Field Measured from the SFI Galaxy Sample
• Cosmic Momentum Field and Mass Fluctuation Power Spectrum
• An Accurate Fitting Function For Scale-dependent Growth Rate in Hu-Sawicki $f(R)$ Gravity
• Correlation Analysis of SFI Peculiar Velocities
• Constraining cosmology with pairwise velocity estimator
• The Peculiar Velocity Correlation Function

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