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

@article{Meng2010ARC,
  title={A redshift-distortion-free correlation function at third order in the non-linear regime},
  author={Kelai Meng and Jun Pan and Istvan Szapudi and Long-Long Feng},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2010},
  volume={413},
  pages={1700-1708}
}
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 similar to 0.2-10 h-1 Mpc. The halo… Expand

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