Using peculiar velocity surveys to constrain the growth rate of structure with the wide-angle effect

Abstract

Amongst the most popular explanations for dark energy are modified theories of gravity. The galaxy overdensity and peculiar velocity fields help us to constrain the growth rate of structure and distinguish different models of gravity. We introduce an improved method for constraining the growth rate of structure with the galaxy overdensity and peculiar velocity fields. This method reduces the modelling systematic error by accounting for the wide-angle effect and the zero-point calibration uncertainty during the modelling process. We also speed up the posterior sampling by around 30 times by first calculating the likelihood at a small number of fiducial points and then interpolating the likelihood values during MCMC sampling. We test the new method on mocks and we find it is able to recover the fiducial growth rate of structure. We applied our new method to the SDSS PV catalogue, which is the largest single peculiar velocity catalogue to date. Our constraint on the growth rate of structure is \(fσ_8 = 0.405_{-0.071}^{+0.076}\) (stat) \(\pm 0.009\) (sys) at the effective redshift of 0.073. Our constraint is consistent with a Planck 2018 cosmological model, \(fσ_8 = 0.448\), within one standard deviation. Our improved methodology will enable similar analysis on future data, with even larger sample sizes and covering larger angular areas on the sky.

18 pages, 11 figures and 2 tables. Accepted by MNRAS. You can find the code https://github.com/YanxiangL/Peculiar_velocity_fitting and data https://zenodo.org/record/6640513. Comments are welcome

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Cited by in corpus (10)

• Target Selection for the DESI Peculiar Velocity Survey
• Growth-rate measurement with type-Ia supernovae using ZTF survey simulations
• A novel approach to cosmological non-linearities as an effective fluid
• Forecast for growth-rate measurement using peculiar velocities from LSST supernovae
• Field-level simulation-based inference with galaxy catalogs: the impact of systematic effects
• Constraining modified gravity scenarios with the 6dFGS and SDSS galaxy peculiar velocity datasets
• Generalized framework for likelihood-based field-level inference of growth rate from velocity and density fields
• Peculiar Velocity Reconstruction From Simulations and Observations Using Deep Learning Algorithms
• Cross-correlating radial peculiar velocities and CMB lensing convergence
• Anchors no more: Using peculiar velocities to constrain $H_0$ and the primordial Universe without calibrators