Density split statistics: Cosmological constraints from counts and lensing in cells in DES Y1 and SDSS data
Creators: name: Gruen, D.
name: Friedrich, O.
name: Krause, E.
name: DeRose, J.
name: Cawthon, R.
name: Davis, C.
name: Elvin-Poole, J.
name: Rykoff, E. S.
name: Wechsler, R. H.
name: Alarcon, A.
name: Bernstein, G. M.
name: Blazek, J.
name: Chang, C.
name: Clampitt, J.
name: Crocce, M.
name: De Vicente, J.
name: Gatti, M.
name: Gill, M. S. S.
name: Hartley, W. G.
name: Hilbert, S.
name: Hoyle, B.
name: Jain, B.
name: Jarvis, M.
name: Lahav, O.
name: MacCrann, N.
name: McClintock, T.
name: Prat, J.
name: Rollins, R. P.
name: Ross, A. J.
name: Rozo, E.
name: Samuroff, S.
name: Sánchez, C.
name: Sheldon, E.
name: Troxel, M. A.
name: Zuntz, J.
name: Abbott, T. M. C.
name: Abdalla, F. B.
name: Allam, S.
name: Annis, J.
name: Bechtol, K.
name: Benoit-Lévy, A.
name: Bertin, E.
name: Bridle, S. L.
name: Brooks, D.
name: Buckley-Geer, E.
name: Rosell, A. Carnero
name: Kind, M. Carrasco
name: Carretero, J.
name: Cunha, C. E.
name: D'Andrea, C. B.
name: da Costa, L. N.
name: Desai, S.
name: Diehl, H. T.
name: Dietrich, J. P.
name: Doel, P.
name: Drlica-Wagner, A.
name: Fernandez, E.
name: Flaugher, B.
name: Fosalba, P.
name: Frieman, J.
name: García-Bellido, J.
name: Gaztanaga, E.
name: Giannantonio, T.
name: Gruendl, R. A.
name: Gschwend, J.
name: Gutierrez, G.
name: Honscheid, K.
name: James, D. J.
name: Jeltema, T.
name: Kuehn, K.
name: Kuropatkin, N.
name: Lima, M.
name: March, M.
name: Marshall, J. L.
name: Martini, P.
name: Melchior, P.
name: Menanteau, F.
name: Miquel, R.
name: Mohr, J. J.
name: Plazas, A. A.
name: Roodman, A.
name: Sanchez, E.
name: Scarpine, V.
name: Schubnell, M.
name: Sevilla-Noarbe, I.
name: Smith, M.
name: Smith, R. C.
name: Soares-Santos, M.
name: Sobreira, F.
name: Swanson, M. E. C.
name: Tarle, G.
name: Thomas, D.
name: Vikram, V.
name: Walker, A. R.
name: Weller, J.
name: Zhang, Y.
Publisher: name: arXiv
Year: 2017
Subjects: subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: We derive cosmological constraints from the probability distribution function (PDF) of evolved large-scale matter density fluctuations. We do this by splitting lines of sight by density based on their count of tracer galaxies, and by measuring both gravitational shear around and counts-in-cells in overdense and underdense lines of sight, in Dark Energy Survey (DES) First Year and Sloan Digital Sky Survey (SDSS) data. Our analysis uses a perturbation theory model (see companion paper Friedrich at al.) and is validated using N-body simulation realizations and log-normal mocks. It allows us to constrain cosmology, bias and stochasticity of galaxies w.r.t. matter density and, in addition, the skewness of the matter density field. From a Bayesian model comparison, we find that the data weakly prefer a connection of galaxies and matter that is stochastic beyond Poisson fluctuations on &lt;=20 arcmin angular smoothing scale. The two stochasticity models we fit yield DES constraints on the matter density $Ω_m=0.26^{+0.04}_{-0.03}$ and $Ω_m=0.28^{+0.05}_{-0.04}$ that are consistent with each other. These values also agree with the DES analysis of galaxy and shear two-point functions (3x2pt) that only uses second moments of the PDF. Constraints on $σ_8$ are model dependent ($σ_8=0.97^{+0.07}_{-0.06}$ and $0.80^{+0.06}_{-0.07}$ for the two stochasticity models), but consistent with each other and with the 3x2pt results if stochasticity is at the low end of the posterior range. As an additional test of gravity, counts and lensing in cells allow to compare the skewness $S_3$ of the matter density PDF to its LCDM prediction. We find no evidence of excess skewness in any model or data set, with better than 25 per cent relative precision in the skewness estimate from DES alone.
description: 33 pages, 22 figures; matches published version