Large-scale bias in the Universe II: redshift space bispectrum

Details Large-scale bias in the Universe II: redshift space bispectrum Large-scale bias in the Universe II: redshift space bispectrum

1998-06-02

arxiv.org/abs/astro-ph/9806028v1

Mon.Not.Roy.Astron.Soc. 300 (1998) 747-756

Astronomy and Astrophysics

Astrophysics

To appear in MNRAS

Scientific paper

The determination of the density parameter $\Omega_0$ from the large-scale distribution of galaxies is one of the major goals of modern cosmology. However, if galaxies are biased tracers of the underlying mass distribution, linear perturbation theory leads to a degeneracy between $\Omega_0$ and the linear bias parameter $b$, and the density parameter cannot be estimated. In Matarrese, Verde & Heavens (1997) we developed a method based on second-order perturbation theory to use the bispectrum to lift this degeneracy by measuring the bias parameter in an $\Omega_0$-independent way. The formalism was developed assuming that one has perfect information on the positions of galaxies in three dimensions. In galaxy redshift surveys, the three-dimensional information is imperfect, because of the contaminating effects of peculiar velocities, and the resulting clustering pattern in redshift space is distorted. In this paper, we combine second-order perturbation theory with a model for collapsed, virialised structures, to extend the method to redshift space, and demonstrate that the method should be successful in determining with reasonable accuracy the bias parameter from state-of-the-art surveys such as the Anglo-Australian 2 degree field survey and the Sloan digital sky survey.

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