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.
Keywords
Cite
@article{arxiv.1710.05162,
title = {Density split statistics: joint model of counts and lensing in cells},
author = {O. Friedrich and D. Gruen and J. DeRose and D. Kirk and E. Krause and T. McClintock and E. S. Rykoff and S. Seitz and R. H. Wechsler and G. M. Bernstein and J. Blazek and C. Chang and S. Hilbert and B. Jain and A. Kovacs and O. Lahav and F. B. Abdalla and S. Allam and J. Annis and K. Bechtol and A. Benoit-Levy and E. Bertin and D. Brooks and A. Carnero Rosell and M. Carrasco Kind and J. Carretero and C. E. Cunha and C. B. D'Andrea and L. N. da Costa and C. Davis and S. Desai and H. T. Diehl and J. P. Dietrich and A. Drlica-Wagner and T. F. Eifler and P. Fosalba and J. Frieman and J. Garcia-Bellido and E. Gaztanaga and D. W. Gerdes and T. Giannantonio and R. A. Gruendl and J. Gschwend and G. Gutierrez and K. Honscheid and D. J. James and M. Jarvis and K. Kuehn and N. Kuropatkin and M. Lima and M. March and J. L. Marshall and P. Melchior and F. Menanteau and R. Miquel and J. J. Mohr and B. Nord and A. A. Plazas and E. Sanchez and V. Scarpine and R. Schindler and M. Schubnell and I. Sevilla-Noarbe and E. Sheldon and M. Smith and M. Soares-Santos and F. Sobreira and E. Suchyta and M. E. C. Swanson and G. Tarle and D. Thomas and M. A. Troxel and V. Vikram and J. Weller},
journal= {arXiv preprint arXiv:1710.05162},
year = {2021}
}
Comments
21 pages + appendix, accepted for publication in PRD