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

Kelai Meng, Jun Pan, István Szapudi, Longlong Feng

Research output: Contribution to journalArticle


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 ~0.2-10h-1Mpc. 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.

Original languageEnglish
Pages (from-to)1700-1708
Number of pages9
JournalMonthly Notices of the Royal Astronomical Society
Issue number3
Publication statusPublished - May 1 2011



  • Cosmology: theory
  • Dark matter
  • Large-scale structure of Universe
  • Methods: statistical

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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