Constraining galaxy-halo connection with high-order statistics

Hanyu Zhang*, Lado Samushia, David Brooks, Axel De La Macorra, Peter Doel, Enrique Gaztañaga, Satya Gontcho A. Gontcho, Klaus Honscheid, Robert Kehoe, Theodore Kisner, Aaron Meisner, Claire Poppett, Michael Schubnell, Gregory Tarle, Kai Zhang, Hu Zou

*Corresponding author for this work

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We investigate using three-point statistics in constraining the galaxy-halo connection. We show that for some galaxy samples, the constraints on the halo occupation distribution parameters are dominated by the three-point function signal (over its two-point counterpart). We demonstrate this on mock catalogues corresponding to the Luminous red galaxies (LRGs), Emission-line galaxies (ELGs), and quasars (QSOs) targeted by the Dark Energy Spectroscopic Instrument (DESI) Survey. The projected three-point function for triangle sides less up to 20 h-1 Mpc measured from a cubic Gpc of data can constrain the characteristic minimum mass of the LRGs with a preci sion of 0.46 per cent. For comparison, similar constraints from the projected two-point function are 1.55 per cent. The improvements for the ELGs and QSOs targets are more modest. In the case of the QSOs, it is caused by the high shot-noise of the sample, and in the case of the ELGs, it is caused by the range of halo masses of the host haloes. The most time-consuming part of our pipeline is the measurement of the three-point functions. We adopt a tabulation method, proposed in earlier works for the two-point function, to significantly reduce the required compute time for the three-point analysis.

Original languageEnglish
Pages (from-to)6133-6150
Number of pages18
JournalMonthly Notices of the Royal Astronomical Society
Issue number4
Early online date23 Aug 2022
Publication statusPublished - 1 Oct 2022


  • cosmology: theory
  • galaxies: haloes
  • large-scale structure of Universe
  • UKRI
  • STFC

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