An Inversion Method for Measuring β in Large‐Redshift Surveys

Abstract

A precision method for determining the value of β = Ω/b, where b is the galaxy bias parameter, is presented. In contrast to other existing techniques that focus on estimating this quantity by measuring distortions in the redshift-space galaxy-galaxy correlation function or power spectrum, this method removes the distortions by reconstructing the real-space density field and determining the value of β that results in a symmetric signal. To remove the distortions, the method modifies the amplitudes of a Fourier plane-wave expansion of the survey data parameterized by β. This technique is not dependent on the small-angle/plane-parallel approximation and can make full use of large-redshift survey data. It has been tested using simulations with four different cosmologies and returns the value of β to ±0.031, more than a factor of 2 improvement over existing techniques.