A redshift-distortion-free correlation function at third order in the non-linear regime

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Abstract

The zeroth-order component of the cosine expansion of the projected three-point correlation function is proposed for the 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 per cent in the non-linear regime on scales of ˜0.2-10 h-1 Mpc. The halo model prediction of the zeroth-order component of the projected three-point correlation function agrees with simulations within ˜10 per cent. This lays the ground 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.

Author

Meng, Kelai; Pan, Jun; Szapudi, István; Feng, Longlong

Journal

Monthly Notices of the Royal Astronomical Society

Paper Publication Date

May 2011

Paper Type

Astrostatistics