A redshift distortion free correlation function at third order in the nonlinear regime
Abstract
The zeroth-order component of the cosine expansion of the projected three-point correlation function is proposed for clustering analysis of cosmic large scale structure. These functions are third order statistics but can be measured similarly to the projected two-point correlations. Numerical experiments with N-body simulations indicate that the advocated statistics are redshift distortion free within 10% in the non-linear regime on scales ~0.2-10Mpc/h. Halo model prediction of the zeroth-order component of the projected three-point correlation function agrees with simulations within ~10%. This lays the ground work for using these functions to perform joint analyses with the projected two-point correlation functions, exploring galaxy clustering properties in the framework of the halo model and relevant extensions.
Cite
@article{arxiv.1101.0054,
title = {A redshift distortion free correlation function at third order in the nonlinear regime},
author = {Kelai Meng and Jun Pan and Istvan Szapudi and Longlong Feng},
journal= {arXiv preprint arXiv:1101.0054},
year = {2015}
}
Comments
10 pages, 6 figs; MNRAS accepted