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

Author： Meng Kelai Pan Jun Szapudi István Feng Longlong

ISSN： 0035-8711

Source： Monthly Notices of the Royal Astronomical Society, Vol.413, Iss.3, 2011-05, pp. : 1700-1708

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Abstract

ABSTRACTThe 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.