A method to extract the redshift distortions beta parameter in configuration space from minimal cosmological assumptions

Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics

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Corrected typos in the estimator. Discussion unchanged. Submitted to ApJ. 8 pages, 4 figures

Scientific paper

We present a method to extract the redshift-space distortions beta parameter in configuration space with a minimal set of cosmological assumptions. We show that a novel combination of the observed monopole and quadrupole correlation functions can remove efficiently the impact of mild non-linearities and redshift errors. The method offers a series of convenient properties: it does not depend on the theoretical linear correlation function; the mean galaxy density is irrelevant; only convolutions are used; there is no explicit dependence on linear bias. A Fisher matrix analysis demontrates that errors of a few percent on beta are possible with a full-sky, 1 (Gpc/h)^3 survey centered at a redshift of unity and with negligible shot-noise. We also find a baryonic feature in the normalized quadrupole in configuration space that should complicate the extraction of the growth parameter from the linear theory asymptote. On the cases tried, this doesn't have an impact on our method.

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