The VIMOS Public Extragalactic Redshift Survey (VIPERS): Reconstruction of the redshift-space galaxy density field

TL;DR

This paper presents a Bayesian method to jointly reconstruct the galaxy density field, power spectrum, bias, and luminosity function from VIPERS data, accounting for survey selection effects and validating with simulations.

Contribution

It introduces a novel Bayesian framework using Wiener filtering and Gibbs sampling for comprehensive redshift-space galaxy field analysis, including bias and luminosity functions.

Findings

Power spectrum and distortion parameters agree with previous VIPERS results.

Measured growth rate fσ8 = 0.38 with 18% uncertainty at redshift 0.7.

Strong correlation between galaxy bias and number density parameters.

Abstract

Aims. Using the VIMOS Public Extragalactic Redshift Survey (VIPERS) we aim to jointly estimate the key parameters that describe the galaxy density field and its spatial correlations in redshift space. Methods. We use the Bayesian formalism to jointly reconstruct the redshift-space galaxy density field, power spectrum, galaxy bias and galaxy luminosity function given the observations and survey selection function. The high-dimensional posterior distribution is explored using the Wiener filter within a Gibbs sampler. We validate the analysis using simulated catalogues and apply it to VIPERS data taking into consideration the inhomogeneous selection function. Results. We present joint constraints on the anisotropic power spectrum as well as the bias and number density of red and blue galaxy classes in luminosity and redshift bins as well as the measurement covariances of these quantities. We find that the inferred galaxy bias and number density parameters are strongly correlated although these are only weakly correlated with the galaxy power spectrum. The power spectrum and redshift-space distortion parameters are in agreement with previous VIPERS results with the value of the growth rate $f\sigma_8 = 0.38$ with 18% uncertainty at redshift 0.7.