The Projected Three-point Correlation Function: Theory and Observations

Details The Projected Three-point Correlation Function: Theory and Observations The Projected Three-point Correlation Function: Theory and Observations

1999-03-29

arxiv.org/abs/astro-ph/9903423v1

Astrophys.J.521:L83,1999

Astronomy and Astrophysics

Astrophysics

10 pages, latex, 2 figures, submited to ApJ Let

Scientific paper

10.1086/312195

We report results for the angular three-point galaxy correlation function in the APM survey and compare them with theoretical expectations. For the first time, these measurements extend to sufficiently large scales to probe the weakly non-linear regime. On large scales, the results are in good agreement with the predictions of non-linear cosmological perturbation theory, for a model with initially Gaussian fluctuations and linear power spectrum $P(k)$ consistent with that inferred from the APM survey. These results reinforce the conclusion that large-scale structure is driven by non-linear gravitational instability and that APM galaxies are relatively unbiased tracers of the mass on large scales; they also provide stringent constraints upon models with non-Gaussian initial conditions and strongly exclude the standard cold dark matter model.

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