Density split statistics: joint model of counts and lensing in cells

Abstract

We present density split statistics, a framework that studies lensing and counts-in-cells as a function of foreground galaxy density, thereby providing a large-scale measurement of both 2-point and 3-point statistics. Our method extends our earlier work on trough lensing and is summarized as follows: given a foreground (low redshift) population of galaxies, we divide the sky into subareas of equal size but distinct galaxy density. We then measure lensing around uniformly spaced points separately in each of these subareas, as well as counts-in-cells statistics (CiC). The lensing signals trace the matter density contrast around regions of fixed galaxy density. Through the CiC measurements this can be related to the density profile around regions of fixed matter density. Together, these measurements constitute a powerful probe of cosmology, the skewness of the density field and the connection of galaxies and matter. In this paper we show how to model both the density split lensing signal and CiC from basic ingredients: a non-linear power spectrum, clustering hierarchy coefficients from perturbation theory and a parametric model for galaxy bias and shot-noise. Using N-body simulations, we demonstrate that this model is sufficiently accurate for a cosmological analysis on year 1 data from the Dark Energy Survey.

21 pages + appendix, accepted for publication in PRD

References in corpus (16)

• Transients from Initial Conditions in Cosmological Simulations
• Practical Weak Lensing Shear Measurement with Metacalibration
• Observational Tests of Modified Gravity
• KiDS+GAMA: Cosmology constraints from a joint analysis of cosmic shear, galaxy-galaxy lensing and angular clustering
• Dark Energy Survey Year 1 Results: Redshift distributions of the weak lensing source galaxies
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• Metacalibration: Direct Self-Calibration of Biases in Shear Measurement
• Density split statistics: Cosmological constraints from counts and lensing in cells in DES Y1 and SDSS data
• Cosmological Constraints From Weak Lensing Peak Statistics With CFHT Stripe 82 Survey
• A new model to predict weak-lensing peak counts I. Comparison with $N$-body Simulations
• Unveiling Galaxy Bias via the Halo Model, KiDS and GAMA
• DES Y1 Results: Validating cosmological parameter estimation using simulated Dark Energy Surveys
• Three-Point Correlations in f(R) Models of Gravity
• An optimal survey geometry of weak lensing survey: minimizing super-sample covariance
• A question of separation: disentangling tracer bias and gravitational nonlinearity with counts-in-cells statistics
• The joint statistics of mildly non-linear cosmological densities and slopes in count-in-cells

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• Enhancing cosmic shear with the multi-scale lensing PDF
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• Cosmology from the integrated shear 3-point correlation function: simulated likelihood analyses with machine-learning emulators
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• One-point probability distribution function from spherical collapse: Early Dark Energy (EDE) vs. $\Lambda$CDM
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