Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 452, Issue 1, Pages 686-700Publisher
OXFORD UNIV PRESS
DOI: 10.1093/mnras/stv1289
Keywords
cosmology: observations; distance scale; large-scale structure of Universe
Categories
Funding
- Instituto de Fisica Teorica (IFT-UAM/CSIC in Madrid) via the Centro de Excelencia Severo Ochoa Program [SEV-2012-0249]
- University of Western Australia Research Collaboration Award for 'Fast Approximate Synthetic Universes for the SKA'
- ARC Centre of Excellence for All Sky Astrophysics (CAASTRO) [CE110001020]
- ARC [DP130100117, DP140100198]
- Spanish MICINN [CSD2009-00064, AYA2010-21231-C02-01]
- Spanish MINECOs Centro de Excelencia Severo Ochoa Programme [SEV-2012-0249]
- Tsinghua University
- 973 student programme [2013CB834906]
- MultiDark summer student program
- Ministerio de Economia y Competitividad (MINECO) in Spain [AYA2012-31101]
- Spanish Ministerio de Ciencia e Innovacion (MICINN) [CSD2009-00064]
- Australian Research Council (ARC) [DP130100117, DP140100198]
- University of Trieste
- MIUR [J91J12000450001]
- Consorzio per la Fisica di Trieste
- Spanish National Science Council (CSIC)
- Spanish MINECO [AYA2012-31101, FPA2012-34694, AYA2010-21231, CSD2007-0050]
- Comunidad de Madrid under ASTROMADRID project [S2009/ESP-1496]
- German Science Foundation under DFG [GO563/23-1]
- Australian Research Council Centre of Excellence for All-Sky Astrophysics (CAASTRO) [CE110001020]
- Spanish MultiDark Consolider Project [CSD2009-00064]
- PRACE [PA2259]
- STFC DiRAC HPC Facility
- STFC [ST/J001511/1] Funding Source: UKRI
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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 over-density (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.
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