A new method for the determination of the growth rate from galaxy redshift surveys

TL;DR

This paper introduces a novel method to measure the growth rate of cosmological linear perturbations using galaxy redshift surveys by analyzing peculiar velocities and magnitudes, providing an independent check on gravity models.

Contribution

The paper presents a new technique to determine the growth rate from galaxy surveys by combining velocity field reconstruction with magnitude distribution analysis.

Findings

Applied to 2MRS survey, derived β=0.35±0.1 at z~0

Method consistent with previous velocity-velocity estimates

Potential to measure growth rate evolution up to z~1

Abstract

Given a redshift survey of galaxies with measurements of apparent magnitudes, we present a novel method for measuring the growth rate $f(\Omega)$ of cosmological linear perturbations. We use the galaxy distribution within the survey to solve for the peculiar velocity field which depends in linear perturbation theory on $\beta=f(\Omega)/b$, where $b$ is the bias factor of the galaxy distribution. The recovered line-of-sight peculiar velocities are subtracted from the redshifts to derive the distances, which thus allows an estimate of the absolute magnitude of each galaxy. A constraint on $\beta$ is then found by minimizing the spread of the estimated magnitudes from their distribution function. We apply the method to the all sky $K = 11.25$ Two-MASS Redhsift Survey (2MRS) and derive $\beta=0.35\pm 0.1$ at $z\sim 0$, remarkably consistent with our previous estimate from the velocity-velocity comparison. The method could easily be applied to subvolumes extracted from the SDSS survey to derive the growth rate at $z \sim 0.1$. Further, it should also be applicable to ongoing and future spectroscopic redshift surveys to trace the evolution of $f(\Omega)$ to $z\sim1$. Constraints obtained from this method are entirely independent from those obtained from the two-dimensional distortion of $\xi(s)$ and provide an important check on $f(\Omega)$, as alternative gravity models predict observable differences.