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Title: Dark Energy Survey Year 3 results: cosmology with moments of weak lensing mass maps – validation on simulations

Journal Article · · Monthly Notices of the Royal Astronomical Society
 [1]; ORCiD logo [2];  [3];  [4];  [5]; ORCiD logo [6];  [7];  [8];  [6]; ORCiD logo [6]; ORCiD logo [9]; ORCiD logo [10]; ORCiD logo [11]; ORCiD logo [12]; ORCiD logo [13];  [4];  [11];  [14];  [15];  [15] more »; ORCiD logo [16];  [11]; ORCiD logo [15];  [17]; ORCiD logo [18]; ORCiD logo [19];  [1];  [20];  [21]; ORCiD logo [22];  [23];  [15];  [11]; ORCiD logo [24];  [15];  [25]; ORCiD logo [26];  [27];  [16];  [26];  [19];  [21];  [15];  [25];  [28];  [29];  [30];  [31];  [21]; ORCiD logo [4];  [32]; ORCiD logo [33];  [19];  [34]; ORCiD logo [27];  [19]; ORCiD logo [33]; ORCiD logo [4];  [22];  [15];  [35];  [6];  [22]; ORCiD logo [36]; ORCiD logo [37]; ORCiD logo [38];  [28];  [35]; ORCiD logo [5]; ORCiD logo [39]; ORCiD logo [40] « less
  1. Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, E-08193 Bellaterra, Spain
  2. Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637, USA, Kavli Institute for Cosmological Physics, University of Chicago, Chicago, IL 60637, USA
  3. Kavli Institute for Cosmology, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK
  4. Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USA
  5. Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 3FX, UK
  6. Institut d’Estudis Espacials de Catalunya (IEEC), E-08034 Barcelona, Spain, Institute of Space Sciences (ICE, CSIC), Campus UAB, Carrer de Can Magrans, s/n, E-08193 Barcelona, Spain
  7. Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA 94305, USA, Kavli Institute for Particle Astrophysics & Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USA
  8. Institute of Theoretical Astrophysics, University of Oslo, PO Box 1029 Blindern, NO-0315 Oslo, Norway
  9. Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA 94305, USA, Kavli Institute for Particle Astrophysics & Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USA, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
  10. Jodrell Bank Center for Astrophysics, School of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
  11. Department of Physics & Astronomy, University College London, Gower Street, London WC1E 6BT, UK
  12. Center for Cosmology and Astro-Particle Physics, The Ohio State University, Columbus, OH 43210, USA, Department of Physics, The Ohio State University, Columbus, OH 43210, USA
  13. Department of Physics, University of Arizona, Tucson, AZ 85721, USA
  14. Cerro Tololo Inter-American Observatory, National Optical Astronomy Observatory, Casilla 603, La Serena, Chile
  15. Fermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USA
  16. Instituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid, E-28049 Madrid, Spain
  17. Kavli Institute for Particle Astrophysics & Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USA, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
  18. Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain, Laboratório Interinstitucional de e-Astronomia - LIneA, Rua Gal. José Cristino 77, Rio de Janeiro 20921-400, Brazil
  19. Department of Astronomy, University of Illinois at Urbana-Champaign, 1002 W. Green Street, Urbana, IL 61801, USA, National Center for Supercomputing Applications, 1205 West Clark St, Urbana, IL 61801, USA
  20. Physics Department, University of Wisconsin-Madison, 2320 Chamberlin Hall, 1150 University Avenue Madison, WI 53706-1390, USA
  21. Laboratório Interinstitucional de e-Astronomia - LIneA, Rua Gal. José Cristino 77, Rio de Janeiro 20921-400, Brazil, Observatório Nacional, Rua Gal. José Cristino 77, Rio de Janeiro 20921-400, Brazil
  22. Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain
  23. Department of Physics, IIT Hyderabad, Kandi, Telangana 502285, India
  24. Department of Astronomy/Steward Observatory, University of Arizona, 933 North Cherry Avenue, Tucson, AZ 85721-0065, USA, Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr., Pasadena, CA 91109, USA
  25. Santa Cruz Institute for Particle Physics, Santa Cruz, CA 95064, USA
  26. Department of Astronomy, University of Michigan, Ann Arbor, MI 48109, USA, Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA
  27. Kavli Institute for Cosmological Physics, University of Chicago, Chicago, IL 60637, USA, Fermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USA
  28. National Center for Supercomputing Applications, 1205 West Clark St, Urbana, IL 61801, USA
  29. Department of Astronomy/Steward Observatory, University of Arizona, 933 North Cherry Avenue, Tucson, AZ 85721-0065, USA
  30. Australian Astronomical Optics, Macquarie University, North Ryde, NSW 2113, Australia, Lowell Observatory, 1400 Mars Hill Rd, Flagstaff, AZ 86001, USA
  31. Laboratório Interinstitucional de e-Astronomia - LIneA, Rua Gal. José Cristino 77, Rio de Janeiro 20921-400, Brazil, Departamento de Física Matemática, Instituto de Física, Universidade de São Paulo, CP 66318, São Paulo, SP 05314-970, Brazil
  32. George P. and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, and Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843, USA
  33. Department of Astrophysical Sciences, Princeton University, Peyton Hall, Princeton, NJ 08544, USA
  34. Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, E-08193 Bellaterra, Spain, Institució Catalana de Recerca i Estudis Avançats, E-08010 Barcelona, Spain
  35. Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA
  36. School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, UK
  37. Physics Department, Brandeis University, 415 South Street, Waltham MA, USA
  38. Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA
  39. Department of Physics, Duke University Durham, NC 27708, USA
  40. Institute for Astronomy, University of Edinburgh, Edinburgh EH9 3HJ, UK

We present a simulated cosmology analysis using the second and third moments of the weak lensing mass (convergence) maps. The second moment, or variances, of the convergence as a function of smoothing scale contains information similar to standard shear two-point statistics. The third moment, or the skewness, contains additional non-Gaussian information. The analysis is geared towards the third year (Y3) data from the Dark Energy Survey (DES), but the methodology can be applied to other weak lensing data sets. We present the formalism for obtaining the convergence maps from the measured shear and for obtaining the second and third moments of these maps given partial sky coverage. We estimate the covariance matrix from a large suite of numerical simulations. We test our pipeline through a simulated likelihood analyses varying 5 cosmological parameters and 10 nuisance parameters and identify the scales where systematic or modelling uncertainties are not expected to affect the cosmological analysis. Our simulated likelihood analysis shows that the combination of second and third moments provides a 1.5 percent constraint on S8 ≡ σ8(Ωm/0.3)0.5 for DES Year 3 data. This is 20 percent better than an analysis using a simulated DES Y3 shear two-point statistics, owing to the non-Gaussian information captured by the inclusion of higher order statistics. This paper validates our methodology for constraining cosmology with DES Year 3 data, which will be presented in a subsequent paper.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Organization:
DES Collaboration
Grant/Contract Number:
AC02-07CH11359; SC0019193; AC05-00OR22725
OSTI ID:
1668095
Alternate ID(s):
OSTI ID: 1581420; OSTI ID: 1690176; OSTI ID: 1817446
Report Number(s):
FERMILAB-PUB-19-576-A-AD-AE-SCD; arXiv:1911.05568
Journal Information:
Monthly Notices of the Royal Astronomical Society, Journal Name: Monthly Notices of the Royal Astronomical Society Vol. 498 Journal Issue: 3; ISSN 0035-8711
Publisher:
Royal Astronomical SocietyCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (87)

FAst STatistics for weak Lensing (FASTLens): fast method for weak lensing statistics and map making journal May 2009
Three-point correlations in weak lensing surveys: model predictions and applications journal September 2003
Precision matrix expansion – efficient use of numerical simulations in estimating errors on cosmological parameters journal October 2017
Monte Carlo control loops for cosmic shear cosmology with DES Year 1 data journal April 2020
Probability Distribution Functions of Cosmological Lensing: Convergence, Shear, and Magnification journal November 2011
Massive data compression for parameter-dependent covariance matrices journal September 2017
The effect of baryons on redshift space distortions and cosmic density and velocity fields in the EAGLE simulation journal April 2016
Parameter inference with estimated covariance matrices journal December 2015
CFHTLenS: a Gaussian likelihood is a sufficient approximation for a cosmological analysis of third-order cosmic shear statistics journal March 2015
An improved fitting formula for the dark matter bispectrum journal February 2012
The Distribution of Extra-Galactic Nebulae journal January 1934
Inference from Iterative Simulation Using Multiple Sequences journal November 1992
CFHTLenS and RCSLenS cross-correlation with Planck lensing detected in fourier and configuration space journal April 2016
The impact of baryons on the matter power spectrum from the Horizon-AGN cosmological hydrodynamical simulation journal August 2018
Cosmic Calibration journal July 2006
Wavelet reconstruction of E and B modes for CMB polarization and cosmic shear analyses journal December 2016
KiDS-450: cosmological constraints from weak lensing peak statistics – I. Inference from analytical prediction of high signal-to-noise ratio convergence peaks journal November 2017
HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere journal April 2005
Dark Energy Survey Year 1 Results: Wide-field mass maps via forward fitting in harmonic space journal March 2020
Revising the Halofit Model for the Nonlinear Matter Power Spectrum journal December 2012
Deep learning dark matter map reconstructions from DES SV weak lensing data journal January 2020
emcee : The MCMC Hammer
  • Foreman-Mackey, Daniel; Hogg, David W.; Lang, Dustin
  • Publications of the Astronomical Society of the Pacific, Vol. 125, Issue 925 https://doi.org/10.1086/670067
journal March 2013
Breaking degeneracies in modified gravity with higher (than 2nd) order weak-lensing statistics journal November 2018
Beyond two-point statistics: using the minimum spanning tree as a tool for cosmology journal November 2019
The cosmological simulation code gadget-2 journal December 2005
The effect of imperfect models of point spread function anisotropy on cosmic shear measurements journal February 2004
Consistent cosmic shear in the face of systematics: a B -mode analysis of KiDS-450, DES-SV and CFHTLenS journal April 2019
Cosmology constraints from shear peak statistics in Dark Energy Survey Science Verification data journal August 2016
The effects of galaxy formation on the matter power spectrum: a challenge for precision cosmology: Galaxy formation and the matter power spectrum journal July 2011
Improving lognormal models for cosmological fields journal April 2016
Dark Energy Survey Year 1 results: weak lensing shape catalogues journal August 2018
Dark energy constraints from cosmic shear power spectra: impact of intrinsic alignments on photometric redshift requirements journal December 2007
Mapping the dark matter with weak gravitational lensing journal February 1993
Massive optimal data compression and density estimation for scalable, likelihood-free inference in cosmology journal March 2018
Dark Energy Survey Year 1 results: curved-sky weak lensing mass map journal January 2018
Testing a New Analytic Model for Gravitational Lensing Probabilities journal July 2006
KiDS-450: cosmological constraints from weak-lensing peak statistics – II: Inference from shear peaks using N-body simulations journal October 2017
The onion universe: all sky lightcone simulations in spherical shells journal November 2008
Improving weak lensing mass map reconstructions using Gaussian and sparsity priors: application to DES SV journal May 2018
Weak lensing power spectra for precision cosmology: Multiple-deflection, reduced shear, and lensing bias corrections journal November 2010
Cosmological Model Predictions for Weak Lensing: Linear and Nonlinear Regimes journal August 1997
Euclid preparation: II. The EuclidEmulator – a tool to compute the cosmology dependence of the nonlinear matter power spectrum journal January 2019
Weak lensing from space: first cosmological constraints from three-point shear statistics★: COSMOS: three-point shear statistics journal September 2010
The 2dF Galaxy Redshift Survey: stochastic relative biasing between galaxy populations journal January 2005
A lognormal model for the cosmological mass distribution journal January 1991
Massive lossless data compression and multiple parameter estimation from galaxy spectra journal October 2000
B-modes in cosmic shear from source redshift clustering journal July 2002
The Dark Energy Survey journal June 2005
Maximal compression of the redshift-space galaxy power spectrum and bispectrum journal January 2018
Cosmological constraints from Subaru weak lensing cluster counts journal June 2015
The Hyper Suprime-Cam SSP Survey: Overview and survey design journal September 2017
Fitting the Nonlinear Matter Bispectrum by the Halofit Approach journal June 2020
A Line-of-Sight Integration Approach to Cosmic Microwave Background Anisotropies journal October 1996
Cosmology with the shear-peak statistics journal February 2010
CFHTLenS: mapping the large-scale structure with gravitational lensing journal June 2013
Lens-Like Action of a star by the Deviation of Light in the Gravitational Field journal December 1936
Karhunen‐Loeve Eigenvalue Problems in Cosmology: How Should We Tackle Large Data Sets? journal May 1997
Size Bias in Galaxy Surveys journal July 2009
Full-sky Gravitational Lensing Simulation for Large-area Galaxy Surveys and Cosmic Microwave Background Experiments journal November 2017
Cosmological information in Gaussianized weak lensing signals: Gaussianized weak lensing signals journal September 2011
Testing the lognormality of the galaxy and weak lensing convergence distributions from Dark Energy Survey maps journal August 2016
Shear power spectrum reconstruction using the pseudo-spectrum method: Shear power spectrum reconstruction journal December 2010
Cosmic shear covariance: the log-normal approximation journal December 2011
Cosmic Emulation: fast Predictions for the Galaxy Power Spectrum journal August 2015
Transients from initial conditions in cosmological simulations journal November 2006
A new method to measure galaxy bias by combining the density and weak lensing fields journal July 2016
The physics driving the cosmic star formation history journal March 2010
Breaking the degeneracy: Optimal use of three-point weak lensing statistics journal January 2010
The Rockstar Phase-Space Temporal halo Finder and the Velocity Offsets of Cluster Cores journal December 2012
First results from the IllustrisTNG simulations: matter and galaxy clustering journal December 2017
A new measure for cosmic shear journal June 1998
The power spectrum and bispectrum of SDSS DR11 BOSS galaxies – I. Bias and gravity journal May 2015
CFHTLenS: cosmological constraints from a combination of cosmic shear two-point and three-point correlations journal May 2014
KiDS-450: cosmological parameter constraints from tomographic weak gravitational lensing journal November 2016
The Coyote Universe. ii. Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum journal October 2009
Cosmological parameters from lensing power spectrum and bispectrum tomography journal March 2004
Cosmic microwave background temperature and polarization pseudo- C estimators and covariances journal July 2005
Dark Energy Survey Year 1 Results: redshift distributions of the weak-lensing source galaxies journal April 2018
Going deep with Minkowski functionals of convergence maps journal January 2020
A pseudo-spectrum analysis of galaxy–galaxy lensing journal July 2016
NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS journal September 2013
Why your model parameter confidences might be too optimistic. Unbiased estimation of the inverse covariance matrix journal December 2006
Cosmology from cosmic shear power spectra with Subaru Hyper Suprime-Cam first-year data journal March 2019
The Analysis of Counts of the Extragalactic Nebulae in Terms of a Fluctuating Density Field. journal January 1953
Weak lensing predictions at intermediate scales journal April 2001
An optimal survey geometry of weak lensing survey: minimizing supersample covariance journal September 2014
A fitting formula for the non-linear evolution of the bispectrum journal August 2001

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