Power Spectrum Shape from Peculiar Velocity Data

Abstract

We constrain the velocity power spectrum shape parameter $\Gamma$ in linear theory using the nine bulk-flow and shear moments estimated from four recent peculiar velocity surveys. For each survey, a likelihood function for $\Gamma$ was found after marginalizing over the power spectrum amplitude ${\sigma }_8{\Omega }_m^{0.6}$ using constraints obtained from comparisons between redshift surveys and peculiar velocity data. In order to maximize the accuracy of our analyses, the velocity noise ${\sigma }_{\ast }$ was estimated directly for each survey. A statistical analysis of the differences between the values of the moments estimated from different surveys showed consistency with theoretical predictions, suggesting that all the surveys investigated reflect the same large scale flows. The peculiar velocity surveys were combined into a composite survey yielding the constraint $\Gamma =0.13_{-0.05}^{+0.09}$. This value is lower than, but consistent with, values obtained using redshift surveys and CMB data.

10 pages, 2 figures, 3 tables, some changes to reflect published article

References in corpus (32)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Baryonic Features in the Matter Transfer Function
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• The 3D power spectrum of galaxies from the SDSS
• Cosmological Results from High-z Supernovae
• The SBF Survey of Galaxy Distances. IV. SBF Magnitudes, Colors, and Distances
• The 2dF Galaxy Redshift Survey: The power spectrum and the matter content of the universe
• The density and peculiar velocity fields of nearby galaxies
• Cosmic Background Anisotropies in CDM Cosmology
• The SBF Survey of Galaxy Distances. II. Local and Large-Scale Flows
• Cosmological Parameters from Eigenmode Analysis of Sloan Digital Sky Survey Galaxy Redshifts
• The I-Band Tully-Fisher Relation for Cluster Galaxies: a Template Relation, its Scatter and Bias Corrections
• Cosmological parameters from CMB measurements and the final 2dFGRS power spectrum
• The power spectrum of galaxies in the 2dF 100k redshift survey
• A New Algorithm for Computing Statistics of Weak Lensing by Large-Scale Structure
• Cosmological Parameters from the Comparison of the 2MASS Gravity Field with Peculiar Velocity Surveys
• An estimate of Ω_m without priors
• Redshift-Distance Survey of Early-type Galaxies. I. Sample Selection, Properties and Completeness
• Likelihood Analysis of Large-Scale Flows
• Power spectrum of the SDSS luminous red galaxies: constraints on cosmological parameters
• Current Status Of Velocity Field Surveys: A Consistency Check
• Large-Scale Power Spectrum and Cosmological Parameters from SFI Peculiar Velocities
• Large-Scale Power Spectrum and Structures From the ENEAR galaxy Peculiar Velocity Catalog
• Redshift-Distance Survey of Early-Type Galaxies. IV. Dipoles of the Velocity Field
• Consistent beta values from density-density and velocity-velocity comparisons
• Interpreting New Data on Large Scale Bulk Flows
• Theoretical Expectations for Bulk Flows in Large Scale Surveys
• Redshift-distance Survey of Early-type Galaxies: The D_n-sigma Relation
• Power Spectrum of Cosmic Momentum Field Measured from the SFI Galaxy Sample
• Features in the primordial power spectrum: constraints from the CMB and the limitation of the 2dF and SDSS redshift surveys to detect them
• ENEAR Redshift-Distance Survey: Cosmological Constraints
• A New Approach to Probing Large Scale Power with Peculiar Velocities

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• Nonlinear Effects in the Amplitude of Cosmological Density Fluctuations
• Galaxy Peculiar Velocities From Large-Scale Supernova Surveys as a Dark Energy Probe
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• Large-scale cosmic flows and moving dark energy
• Determining the motion of the solar system relative to the cosmic microwave background using type Ia supernovae
• Precision measurements of large scale structure with future type Ia supernova surveys
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• Uneven flows: On cosmic bulk flows, local observers, and gravity
• Measuring the velocity field from type Ia supernovae in an LSST-like sky survey
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• Diagnosing multiplicative error by lensing magnification of type Ia supernovae
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