The Velocity Field Olympics: Assessing velocity field reconstructions with direct distance tracers

Abstract

The peculiar velocity field of the local Universe provides direct insights into its matter distribution and the underlying theory of gravity, and is essential in cosmological analyses for modelling deviations from the Hubble flow. Numerous methods have been developed to reconstruct the density and velocity fields at $z\lesssim 0.05$, typically constrained by redshift-space galaxy positions or by direct distance tracers such as the Tully-Fisher relation, the fundamental plane, or Type Ia supernovae. We introduce a validation framework to evaluate the accuracy of these reconstructions against catalogues of direct distance tracers. Our framework assesses the goodness-of-fit of each reconstruction using Bayesian evidence, residual redshift discrepancies, velocity scaling, and the need for external bulk flows. Applying this framework to a suite of reconstructions -- including those derived from the Bayesian Origin Reconstruction from Galaxies (BORG) algorithm and from linear theory -- we find that the non-linear BORG reconstruction consistently outperforms others. We highlight the utility of such a comparative approach for supernova or gravitational wave cosmological studies, where selecting an optimal peculiar velocity model is essential. Additionally, we present calibrated bulk flow curves predicted by the reconstructions and perform a density--velocity cross-correlation using a linear theory reconstruction to constrain the growth factor, yielding $S_8=0.793\pm 0.035$. The result is in good agreement with both weak lensing and Planck, but is in strong disagreement with some peculiar velocity studies.

25 pages, 16 figures. Accepted in MNRAS

References in corpus (112)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Astropy: A Community Python Package for Astronomy
• The Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package
• The cosmological simulation code GADGET-2
• The Seventh Data Release of the Sloan Digital Sky Survey
• The Astropy Project: Sustaining and Growing a Community-oriented Open-source Project and the Latest Major Release (v5.0) of the Core Package
• 4D Gravity on a Brane in 5D Minkowski Space
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• Cosmological Hydrodynamics with Adaptive Mesh Refinement: a new high resolution code called RAMSES
• Stable clustering, the halo model and nonlinear cosmological power spectra
• The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo
• Planck 2013 results. I. Overview of products and scientific results
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• The Pantheon+ Analysis: Cosmological Constraints
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• The 6dF Galaxy Survey: Final Redshift Release (DR3) and Southern Large-Scale Structures
• Cluster Abundance Constraints on Quintessence Models
• SALT2: using distant supernovae to improve the use of Type Ia supernovae as distance indicators
• KiDS-1000 Cosmology: Multi-probe weak gravitational lensing and spectroscopic galaxy clustering constraints
• The 2MASS Redshift Survey - Description and Data Release
• Cosmicflows-2: The Data
• The density and peculiar velocity fields of nearby galaxies
• Cosmicflows-3
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Data Calibration
• Simulating cosmic structure formation with the GADGET-4 code
• Cluster Cosmology Constraints from the 2500 deg${}^2$ SPT-SZ Survey: Inclusion of Weak Gravitational Lensing Data from Magellan and the Hubble Space Telescope
• Solving Large Scale Structure in Ten Easy Steps with COLA
• The Atacama Cosmology Telescope: DR6 Gravitational Lensing Map and Cosmological Parameters
• The Quijote simulations
• Consistently Large Cosmic Flows on Scales of 100 Mpc/h: a Challenge for the Standard LCDM Cosmology
• Bayesian physical reconstruction of initial conditions from large scale structure surveys
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances and Weak Lensing
• Cosmological parameters from the comparison of peculiar velocities with predictions from the 2M++ density field
• Distance measures in cosmology
• Accurate halo-model matter power spectra with dark energy, massive neutrinos and modified gravitational forces
• A gravitational-wave measurement of the Hubble constant following the second observing run of Advanced LIGO and Virgo
• Composable Effects for Flexible and Accelerated Probabilistic Programming in NumPyro
• The 2M++ galaxy redshift catalogue
• Cosmic Microwave Weak lensing data as a test for the dark universe
• DESI 2024 VII: Cosmological Constraints from the Full-Shape Modeling of Clustering Measurements
• Cosmic Flows on 100 Mpc/h Scales: Standardized Minimum Variance Bulk Flow, Shear and Octupole Moments
• SFI++ I: A New I-band Tully-Fisher Template, the Cluster Peculiar Velocity Dispersion and H0
• DES Y3 + KiDS-1000: Consistent cosmology combining cosmic shear surveys
• The Foundation Supernova Survey: Motivation, Design, Implementation, and First Data Release
• Testing $\Lambda$CDM at the lowest redshifts with SN Ia and galaxy velocities
• Physical Bayesian modelling of the non-linear matter distribution: new insights into the Nearby Universe
• Cosmicflows-4
• 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 cosmological bulk flow: consistency with $\Lambda$CDM and $z\approx 0$ constraints on ${\sigma }_8$ and $\gamma$
• Cosmicflows 4: The Calibration of Optical and Infrared Tully-Fisher Relations
• The SRG/eROSITA all-sky survey: Cosmology constraints from cluster abundances in the western Galactic hemisphere
• Cosmic flows in the nearby Universe: new peculiar velocities from SNe and cosmological constraints
• The Pantheon+ Analysis: Improving the Redshifts and Peculiar Velocities of Type Ia Supernovae Used in Cosmological Analyses
• GLADE+: An Extended Galaxy Catalogue for Multimessenger Searches with Advanced Gravitational-wave Detectors
• Analyzing the Large-Scale Bulk Flow using CosmicFlows4: Increasing Tension with the Standard Cosmological Model
• The Pantheon+ Analysis: Evaluating Peculiar Velocity Corrections in Cosmological Analyses with Nearby Type Ia Supernovae
• 2MTF I. The Tully-Fisher Relation in the 2MASS J, H and K Bands
• UNITY: Confronting Supernova Cosmology's Statistical and Systematic Uncertainties in a Unified Bayesian Framework
• Cosmicflows-4: The Catalog of ~10000 Tully-Fisher Distances
• The Foundation Supernova Survey: Measuring Cosmological Parameters with Supernovae from a Single Telescope
• The 6dF Galaxy Survey: Bulk Flows on $50-70h^{-1}$ Mpc scales
• Improved constraints on cosmological parameters from SNIa data
• Constraints on dark energy with the LOSS SN Ia sample
• Cosmological Parameters from the Comparison of the 2MASS Gravity Field with Peculiar Velocity Surveys
• The peculiar velocity field up to $z\sim 0.05$ by forward-modeling Cosmicflows-3 data
• Unmasking the Masked Universe: the 2M++ catalogue through Bayesian eyes
• Dark Energy Survey Year 3 results: Cosmological constraints from galaxy clustering and galaxy-galaxy lensing using the MagLim lens sample
• Cosmic Bulk Flow and the Local Motion from Cosmicflows-2
• The 6dF Galaxy Survey: Fundamental Plane Data
• Inverted initial conditions: exploring the growth of cosmic structure and voids
• The Lick Observatory Supernova Search
• A Flexible Method of Estimating Luminosity Functions
• Improving constraints on the growth rate of structure by modelling the density-velocity cross-correlation in the 6dF Galaxy Survey
• Bayesian 3d velocity field reconstruction with VIRBIuS
• Joint growth rate measurements from redshift-space distortions and peculiar velocities in the 6dF Galaxy Survey
• Evaluating bulk flow estimators for CosmicFlows-4 measurements
• Cosmic shear with small scales: DES-Y3, KiDS-1000 and HSC-DR1
• An estimation of the Local growth rate from Cosmicflows-3 peculiar velocities
• Gravity in the Local Universe : density and velocity fields using CosmicFlows-4
• Large-scale Cosmic Flows from Cosmicflows-2 Catalog
• Peculiar velocities in the local Universe: comparison of different models and the implications for $H_0$ and dark matter
• Velocity-Density Correlations from the cosmicflows-3 Distance Catalog and the 2MASS Redshift Survey
• Speed from light: growth rate and bulk flow at z ~ 0.1 from improved SDSS DR13 photometry
• 2MTF - VII. 2MASS Tully-Fisher survey final data release: distances for 2,062 nearby spiral galaxies
• Cosmic velocity--gravity relation in redshift space
• Systematic-free inference of the cosmic matter density field from SDSS3-BOSS data
• On the recovery of Local Group motion from galaxy redshift surveys
• Galaxy clusters in local Universe simulations without density constraints: a long uphill struggle
• Large-scale density and velocity field reconstructions with neural networks
• Nonlinear Effects in the Amplitude of Cosmological Density Fluctuations
• syren-halofit: A fast, interpretable, high-precision formula for the $\Lambda$CDM nonlinear matter power spectrum
• Explicit Bayesian treatment of unknown foreground contaminations in galaxy surveys
• Large-scale motions and growth rate from forward-modelling Tully-Fisher peculiar velocities
• Global Attenuation in Spiral Galaxies in Optical and Infrared Bands
• Constraints on galileons from the positions of supermassive black holes
• Cosmological foundations revisited with Pantheon+
• Easily Interpretable Bulk Flows: Continuing Tension with the Standard Cosmological Model
• Constraints on dark matter annihilation and decay from the large-scale structure of the nearby universe
• Towards Accurate Field-Level Inference of Massive Cosmic Structures
• On methods of estimating cosmological bulk flows
• syren-new: Precise formulae for the linear and nonlinear matter power spectra with massive neutrinos and dynamical dark energy
• Marginalised Normal Regression: Unbiased curve fitting in the presence of x-errors
• Bayesian evidence estimation from posterior samples with normalizing flows
• Uneven flows: On cosmic bulk flows, local observers, and gravity
• Neural network reconstruction of density and velocity fields from the 2MASS Redshift Survey
• Comparison of cosmological parameter inference methods applied to supernovae lightcurves fitted with SALT2
• Accounting for Selection Effects in Supernova Cosmology with Simulation-Based Inference and Hierarchical Bayesian Modelling
• Efficiently estimating mean, uncertainty and unconstrained large scale fraction of local Universe simulations with paired fixed fields

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