An Inversion Method for Measuring Beta in Large Redshift Surveys

Details An Inversion Method for Measuring Beta in Large Redshift Surveys An Inversion Method for Measuring Beta in Large Redshift Surveys

2002-04-29

arxiv.org/abs/astro-ph/0204499v1

Astrophys.J. 579 (2002) 76-82

Astronomy and Astrophysics

Astrophysics

16 pages including 6 figures Submitted to The Astrophysical Journal

Scientific paper

10.1086/342790

A precision method for determining the value of Beta= Omega_m^{0.6}/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 Beta 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 Beta. 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 Beta to +/- 0.031, over a factor of two improvement over existing techniques.

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