The DESI DR1 peculiar velocity survey: growth rate measurements from the galaxy power spectrum

TL;DR

This paper measures the growth rate of cosmic structures using galaxy power spectra from the DESI survey, employing a generalized model to analyze auto and cross-power spectra, confirming consistency with standard cosmological models.

Contribution

It introduces a generalized cross-power spectrum model for different galaxy surveys and applies it to DESI data to accurately estimate the growth rate of structure.

Findings

Measured growth rate fσ8=0.440^{+0.080}_{-0.096} at z=0.07

Consensus value of fσ8(z=0.07)=0.450^{+0.055}_{-0.055}

Results are consistent with ΛCDM and General Relativity

Abstract

The large-scale structure of the Universe and its evolution encapsulate a wealth of cosmological information. A powerful means of unlocking this knowledge lies in measuring the auto-power spectrum and/or the cross-power spectrum of the galaxy density and momentum fields, followed by the estimation of cosmological parameters based on these spectrum measurements. In this study, we generalize the cross-power spectrum model to accommodate scenarios where the density and momentum fields are derived from distinct galaxy surveys. The growth rate of the large-scale structures of the Universe, commonly represented as $f\sigma_8$, is extracted by jointly fitting the monopole and quadrupole moments of the auto-density power spectrum, the monopole of the auto-momentum power spectrum, and the dipole of the cross-power spectrum. Our estimators, theoretical models and parameter-fitting framework have been tested using mocks, confirming their robustness and accuracy in retrieving the fiducial growth rate from simulation. These techniques are then applied to analyze the power spectrum of the DESI Bright Galaxy Survey and Peculiar Velocity Survey, and the fit result of the growth rate is $f\sigma_8=0.440^{+0.080}_{-0.096}$ at effective redshift $z_{\rm eff}=0.07$. By synthesizing the fitting outcomes from correlation functions, maximum likelihood estimation and power spectrum, yields a consensus value of $f\sigma_8(z_{\rm eff}=0.07) = 0.450 ^{+0.055}_{-0.055}$, and correspondingly we obtain $\gamma=0.580^{+0.110}_{-0.110}$, $\Omega_\mathrm{m}=0.301^{+0.011}_{-0.011}$ and $\sigma_8=0.834^{+0.032}_{-0.032}$. The measured $f\sigma_8$ and $\gamma$ are consistent with the prediction of the $\Lambda$ Cold Dark Matter Model and General Relativity.