Astronomy and Astrophysics – Astrophysics
Scientific paper
1999-03-31
Astrophys.J. 530 (2000) 36
Astronomy and Astrophysics
Astrophysics
45 pages, including 11 Figures, submitted to the Astrophysical Journal
Scientific paper
10.1086/308339
We calculate the normalized angular three-point correlation function (3PCF), $q$, as well as the normalized angular skewness, $s_3$, assuming the small-angle approximation, for a biased mass distribution in flat and open cold-dark-matter (CDM) models with Gaussian initial conditions. The leading-order perturbative results incorporate the explicit dependence on the cosmological parameters, the shape of the CDM transfer function, the linear evolution of the power spectrum, the form of redshift distribution function, and linear and nonlinear biasing, which may be evolving. Results are presented for different redshift distributions, including that appropriate for the APM Galaxy Survey, as well as for a survey with a mean redshift of $\bar{z} \simeq 1$ (such as the VLA FIRST Survey). Qualitatively, many of the results found for $s_3$ and $q$ are similar to those obtained in a related treatment of the spatial skewness and 3PCF (Buchalter & Kamionkowski 1999), such as a leading-order correction to the standard result for $s_3$ in the case of nonlinear bias (as defined for unsmoothed density fields), and the sensitivity of the configuration dependence of $q$ to both cosmological and biasing models. We show that since angular CFs are sensitive to clustering over a range of redshifts, the various evolutionary dependences included in our predictions imply that measurements of $q$ in a deep survey might better discriminate between models with different histories, such as evolving vs. non-evolving bias, that can have similar spatial CFs at low redshift. Our calculations employ a derived equation---valid for open, closed, and flat models---for obtaining the angular bispectrum from the spatial bispectrum in the small-angle approximation.
Buchalter Ari
Jaffe Andrew H.
Kamionkowski Marc
No associations
LandOfFree
The Angular Three-Point Correlation Function in the Quasilinear Regime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Angular Three-Point Correlation Function in the Quasilinear Regime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Angular Three-Point Correlation Function in the Quasilinear Regime will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-479333