Measuring our peculiar velocity from spectroscopic redshift surveys

Abstract

Our peculiar velocity imprints a dipole on galaxy density maps derived from redshift surveys. The dipole gives rise to an oscillatory signal in the multipole moments of the observed power spectrum which we indicate as the finger-of-the-observer (FOTO) effect. Using a suite of large mock catalogues mimicking ongoing and future $\text{H}\alpha$- and $\text{H}\mathrm{I}$-selected surveys, we demonstrate that the oscillatory features can be measured with a signal-to-noise ratio of up to 7 (depending on the sky area coverage and provided that observational systematics are kept under control on large scales). We also show that the FOTO effect cannot be erased by correcting the individual galaxy redshifts. On the contrary, by leveraging the power of the redshift corrections, we propose a novel method to determine both the magnitude and the direction of our peculiar velocity. After applying this technique to our mock catalogues, we conclude that it can be used to either test the kinematic interpretation of the temperature dipole in the cosmic microwave background or to extract cosmological information such as the matter density parameter and the equation of state of dark energy.

44 pages, 17 figures. Minor changes to match the published version

References in corpus (22)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Euclid. I. Overview of the Euclid mission
• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• Cosmological parameters from the comparison of peculiar velocities with predictions from the 2M++ density field
• Probing cosmic isotropy with a new X-ray galaxy cluster sample through the $L_{\text{X}}-T$ scaling relation
• A Challenge to the Standard Cosmological Model
• Dipoles in the Sky
• Superhorizon Perturbations and the Cosmic Microwave Background
• Constraints on cosmic hemispherical power anomalies from quasars
• Cosmological performance of SKA HI galaxy surveys
• Testing the Cosmological Principle with CatWISE Quasars: A Bayesian Analysis of the Number-Count Dipole
• A new way to test the Cosmological Principle: measuring our peculiar velocity and the large scale anisotropy independently
• The kinematic dipole in galaxy redshift surveys
• The Local Group Mass in the light of Gaia
• Theoretical systematics in testing the Cosmological Principle with the kinematic quasar dipole
• Mitigating the Impact of the DESI Fiber Assignment on Galaxy Clustering
• On the perturbation of the luminosity distance by peculiar motions
• The expected kinematic matter dipole is robust against source evolution
• Disentangling Doppler modulation, aberration and the temperature dipole in the CMB
• The full-sky Spherical Fourier-Bessel power spectrum in general relativity
• Accurate Measurement of the Lensing Magnification by BOSS CMASS Galaxies and Its Implications for Cosmology and Dark Matter
• Exact Modeling of Power Spectrum Multipole through Spherical Fourier-Bessel Basis