nIFTy cosmology: Galaxy/halo mock catalogue comparison project on clustering statistics

Chia Hsun Chuang, Cheng Zhao, Francisco Prada, Emiliano Munari, Santiago Avila, Albert Izard, Francisco Shu Kitaura, Marc Manera, Pierluigi Monaco, Steven Murray, Alexander Knebe, Claudia G. Scóccola, Gustavo Yepes, Juan Garcia-Bellido, Felipe A. Marín, Volker Müller, Ramin Skibba, Martin Crocce, Pablo Fosalba, Stefan GottlöberAnatoly A. Klypin, Chris Power, Charling Tao, Victor Turchaninov

    Research output: Contribution to journalArticleResearchpeer-review

    69 Citations (Scopus)


    © 2015 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society. We present a comparison of major methodologies of fast generating mock halo or galaxy catalogues. The comparison is done for two-point (power spectrum and two-point correlation function in real and redshift space), and the three-point clustering statistics (bispectrum and three-point correlation function). The reference catalogues are drawn from the BigMultiDark N-body simulation. Both friend-of-friends (including distinct haloes only) and spherical overdensity (including distinct haloes and subhalos) catalogues have been used with the typical number density of a large volume galaxy surveys. We demonstrate that a proper biasing model is essential for reproducing the power spectrum at quasi-linear and even smaller scales. With respect to various clustering statistics, a methodology based on perturbation theory and a realistic biasing model leads to very good agreement with N-body simulations. However, for the quadrupole of the correlation function or the power spectrum, only the method based on semi-N-body simulation could reach high accuracy (1 per cent level) at small scales, i.e. r < 25 h-1 Mpc or k > 0.15 h Mpc-1. Full N-body solutions will remain indispensable to produce reference catalogues. Nevertheless, we have demonstrated that the more efficient approximate solvers can reach a few per cent accuracy in terms of clustering statistics at the scales interesting for the large-scale structure analysis. This makes them useful for massive production aimed at covariance studies, to scan large parameter spaces, and to estimate uncertainties in data analysis techniques, such as baryon acoustic oscillation reconstruction, redshift distortion measurements, etc.
    Original languageEnglish
    Pages (from-to)686-700
    JournalMonthly Notices of the Royal Astronomical Society
    Issue number1
    Publication statusPublished - 28 Apr 2015


    • Cosmology: observations
    • Distance scale
    • Large-scale structure of Universe


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