The Spatial and Angular Three-Point Correlation Functions of a Biased Mass Distribution in CDM Models

Details The Spatial and Angular Three-Point Correlation Functions of a Biased Mass Distribution in CDM Models The Spatial and Angular Three-Point Correlation Functions of a Biased Mass Distribution in CDM Models

May 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aas...192.5212b&link_type=abstract

American Astronomical Society, 192nd AAS Meeting, #52.12; Bulletin of the American Astronomical Society, Vol. 30, p.892

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Scientific paper

We investigate the predicted three-point correlation function (3PCF) for an arbitrary tracer mass distribution in a variety of CDM models. In particular, we derive the leading order results for the spatial and angular skewness (one-point statistics), as well as the full spatial and angular 3PCFs (n-point statistics), including their dependence on cosmological parameters, the shape and evolution of the power spectrum, and on the bias, which is allowed to be non-linear and/or evolving in time. The primary dependence of the derived quantities is found to be on the bias, with a significant bias leading to a flattening of the dependence of the one-point statistics on smoothing radius, and of the n-point statistics on configuration shape. For the one-point statistics, we find a degeneracy not only between the bias and cosmological parameters, but between different bias scenarios alone. These degeneracies are alleviated by the full geometric information contained in the n-point statistics, allowing independent constraints on Omega_0 , the primordial power spectrum, and on the bias.

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