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

    O. Friedrich1,2,*, D. Gruen3,4, J. DeRose5,3, D. Kirk6, E. Krause3, T. McClintock7, E. S. Rykoff3,4, S. Seitz2,1, R. H. Wechsler5,3,4 et al. (DES Collaboration)

    R. H. Wechsler5,3,4, G. M. Bernstein8, J. Blazek9,10, C. Chang11, S. Hilbert12,13, B. Jain8, A. Kovacs14, O. Lahav6, F. B. Abdalla6,15, S. Allam16, J. Annis16, K. Bechtol17, A. Benoit-Lévy18,6,19, E. Bertin18,19, D. Brooks6, A. Carnero Rosell20,21, M. Carrasco Kind22,23, J. Carretero14, C. E. Cunha3, C. B. D’Andrea8, L. N. da Costa20,21, C. Davis3, S. Desai24, H. T. Diehl16, J. P. Dietrich12,13, A. Drlica-Wagner16, T. F. Eifler25,26, P. Fosalba27, J. Frieman16,11, J. García-Bellido28, E. Gaztanaga27, D. W. Gerdes29,30, T. Giannantonio31,32,1, R. A. Gruendl22,23, J. Gschwend20,21, G. Gutierrez16, K. Honscheid9,33, D. J. James34, M. Jarvis8, K. Kuehn35, N. Kuropatkin16, M. Lima36,20, M. March8, J. L. Marshall37, P. Melchior38, F. Menanteau22,23, R. Miquel39,14, J. J. Mohr13,12,2, B. Nord16, A. A. Plazas26, E. Sanchez40, V. Scarpine16, R. Schindler4, M. Schubnell30, I. Sevilla-Noarbe40, E. Sheldon41, M. Smith42, M. Soares-Santos16, F. Sobreira43,20, E. Suchyta44, M. E. C. Swanson23, G. Tarle30, D. Thomas45, M. A. Troxel9,33, V. Vikram46, and J. Weller13,2,1 (DES Collaboration)

    • 1Universitäts-Sternwarte, Fakultät für Physik, Ludwig-Maximilians Universität München, Scheinerstr. 1, 81679 München, Germany
    • 2Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse, 85748 Garching, Germany
    • 3Kavli Institute for Particle Astrophysics and Cosmology, P. O. Box 2450, Stanford University, Stanford, California 94305, USA
    • 4SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
    • 5Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, California 94305, USA
    • 6Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
    • 7Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
    • 8Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
    • 9Center for Cosmology and Astro-Particle Physics, The Ohio State University, Columbus, Ohio 43210, USA
    • 10Institute of Physics, Laboratory of Astrophysics, École Polytechnique Fédérale de Lausanne (EPFL), Observatoire de Sauverny, 1290 Versoix, Switzerland
    • 11Kavli Institute for Cosmological Physics, University of Chicago, Chicago, Illinois 60637, USA
    • 12Faculty of Physics, Ludwig-Maximilians-Universität, Scheinerstr. 1, 81679 Munich, Germany
    • 13Excellence Cluster Universe, Boltzmannstr. 2, 85748 Garching, Germany
    • 14Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, 08193 Bellaterra (Barcelona) Spain
    • 15Department of Physics and Electronics, Rhodes University, PO Box 94, Grahamstown 6140, South Africa
    • 16Fermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USA
    • 17LSST, 933 North Cherry Avenue, Tucson, Arizona 85721, USA
    • 18CNRS, UMR 7095, Institut d’Astrophysique de Paris, F-75014 Paris, France
    • 19Sorbonne Universités, UPMC Univ Paris 06, UMR 7095, Institut d’Astrophysique de Paris, F-75014 Paris, France
    • 20Laboratório Interinstitucional de e-Astronomia—LIneA, Rua Gal. José Cristino 77, Rio de Janeiro RJ—20921-400, Brazil
    • 21Observatório Nacional, Rua Gal. José Cristino 77, Rio de Janeiro RJ—20921-400, Brazil
    • 22Department of Astronomy, University of Illinois, 1002 W. Green Street, Urbana, Illinois 61801, USA
    • 23National Center for Supercomputing Applications, 1205 West Clark Street, Urbana, Illinois 61801, USA
    • 24Department of Physics, IIT Hyderabad, Kandi, Telangana 502285, India
    • 25Department of Physics, California Institute of Technology, Pasadena, California 91125, USA
    • 26Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr., Pasadena, California 91109, USA
    • 27Institute of Space Sciences, IEEC-CSIC, Campus UAB, Carrer de Can Magrans, s/n, 08193 Barcelona, Spain
    • 28Instituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid, 28049 Madrid, Spain
    • 29Department of Astronomy, University of Michigan, Ann Arbor, Michigan 48109, USA
    • 30Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
    • 31Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, United Kingdom
    • 32Kavli Institute for Cosmology, University of Cambridge, Madingley Road, Cambridge CB3 0HA, United Kingdom
    • 33Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
    • 34Astronomy Department, University of Washington, Box 351580, Seattle, Washington 98195, USA
    • 35Australian Astronomical Observatory, North Ryde, NSW 2113, Australia
    • 36Departamento de Física Matemática, Instituto de Física, Universidade de São Paulo, CP 66318, São Paulo, São Paulo 05314-970, Brazil
    • 37George P. and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, and Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USA
    • 38Department of Astrophysical Sciences, Princeton University, Peyton Hall, Princeton, New Jersey 08544, USA
    • 39Institució Catalana de Recerca i Estudis Avançats, E-08010 Barcelona, Spain
    • 40Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), 28040 Madrid, Spain
    • 41Brookhaven National Laboratory, Bldg 510, Upton, New York 11973, USA
    • 42School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom
    • 43Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, Campinas, São Paulo 13083-859, Brazil
    • 44Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
    • 45Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 3FX, United Kingdom
    • 46Argonne National Laboratory, 9700 South Cass Avenue, Lemont, Illinois 60439, USA

    • *Corresponding author. oliverf@usm.uni-muenchen.de

    Phys. Rev. D 98, 023508 – Published 13 July, 2018

    DOI: https://doi.org/10.1103/PhysRevD.98.023508

    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.

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