Cylinders out of a top hat: counts-in-cells for projected densities

Cora Uhlemann (1, 2, 3) , Christophe Pichon (4, 5) , Sandrine Codis (5, 6) , Benjamin L 'Huillier (7) , Juhan Kim (8) , Francis Bernardeau (9, 5) , Changbom Park (8) , Simon Prunet (5, 10)

1 Fitzwilliam College
2 DAMTP
3 Institute for Theoretical Physics [Utrecht]
4 Korean Institute of Advanced Studies
5 IAP - Institut d'Astrophysique de Paris
6 CITA - Canadian Institute for Theoretical Astrophysics
7 KASI - Korea Astronomy and Space Science Institute
8 KIAS - Korea Institute for Advanced Study
9 IPHT - Institut de Physique Théorique - UMR CNRS 3681
10 CFHT - Canada-France-Hawaii Telescope Corporation

Large deviation statistics is implemented to predict the statistics of cosmic densities in cylinders applicable to photometric surveys. It yields few percent accurate analytical predictions for the one-point probability distribution function (PDF) of densities in concentric or compensated cylinders; and also captures the density-dependence of their angular clustering (cylinder bias). All predictions are found to be in excellent agreement with the cosmological simulation Horizon Run 4 in the quasi-linear regime where standard perturbation theory normally breaks down. These results are combined with a simple local bias model that relates dark matter and tracer densities in cylinders and validated on simulated halo catalogues. This formalism can be used to probe cosmology with existing and upcoming photometric surveys like DES, Euclid or WFIRST containing billions of galaxies.

Keywords: cosmology: theory; Large-scale structure of Universe; methods: analytical; numerical

Domains: Physics [physics]

Cora Uhlemann, Christophe Pichon, Sandrine Codis, Benjamin L 'Huillier, Juhan Kim, et al.. Cylinders out of a top hat: counts-in-cells for projected densities. 2018. ⟨cea-01677504⟩