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

Abstract

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.

14 pages, 16 figures, comments welcome

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• Probability distribution function of the aperture mass field with large deviation theory
• The PDF perspective on the tracer-matter connection: Lagrangian bias and non-Poissonian shot noise
• It takes two to know one: Computing accurate one-point PDF covariances from effective two-point PDF models
• Alcock-Paczynski Test with the Evolution of Redshift-Space Galaxy Clustering Anisotropy
• The Variance and Covariance of Counts-in-Cells Probabilities
• One-point probability distribution function from spherical collapse: Early Dark Energy (EDE) vs. $\Lambda$CDM
• Weak Lensing Trispectrum and Kurt-Spectra
• The cumulant generating function as a novel observable to cumulate weak lensing information
• Reconstructing the Gravitational Lensing Potential from the Lyman-$\alpha$ Forest
• Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
• Bounds on galaxy stochasticity from halo occupation distribution modeling
• A New Estimator for Phase Statistics
• CNN photometric redshifts in the SDSS at $r\le 20$
• On Weak Lensing Response Functions