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

Friedrich, O. and Eifler, T. F. (2018) Density split statistics: Joint model of counts and lensing in cells. Physical Review D, 98 (2). Art. No. 023508. ISSN 2470-0010.

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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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Eifler, T. F.0000-0002-1894-3301
Additional Information:© 2018 American Physical Society. Received 24 October 2017; published 13 July 2018. O. F. was supported by SFB-Transregio 33 ‘The Dark Universe’ by the Deutsche Forschungsgemeinschaft (DFG). Support for D. G. was provided by NASA through Einstein Postdoctoral Fellowship Grant No. PF5-160138 awarded by the Chandra X-ray Center, which is operated by the Smithsonian Astrophysical Observatory for NASA under contract No. NAS8-03060. O. F. and S. H. acknowledge support by the DFG cluster of excellence ‘Origin and Structure of the Universe’ ( Part of our computations have been carried out on the computing facilities of the Computational Center for Particle and Astrophysics (C2PAP). This paper has gone through internal review by the DES collaboration. We want to thank all the members of the DES WL, LSS and Theory working groups that have contributed with helpful comments and discussions. We also want to thank the anonymous journal referee for very helpful comments. Funding for the DES Projects has been provided by the U.S. Department of Energy, the U.S. National Science Foundation, the Ministry of Science and Education of Spain, the Science and Technology Facilities Council of the United Kingdom, the Higher Education Funding Council for England, the National Center for Supercomputing Applications at the University of Illinois at Urbana-Champaign, the Kavli Institute of Cosmological Physics at the University of Chicago, the Center for Cosmology and Astro-Particle Physics at the Ohio State University, the Mitchell Institute for Fundamental Physics and Astronomy at Texas A&M University, Financiadora de Estudos e Projetos, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, Conselho Nacional de Desenvolvimento Científico e Tecnológico and the Ministério da Ciência, Tecnologia e Inovação, the Deutsche Forschungsgemeinschaft and the Collaborating Institutions in the Dark Energy Survey. The DES data management system is supported by the National Science Foundation under Grant No. AST-1138766. The Collaborating Institutions are Argonne National Laboratory, the University of California at Santa Cruz, the University of Cambridge, Centro de Investigaciones Enérgeticas, Medioambientales y Tecnológicas-Madrid, the University of Chicago, University College London, the DES-Brazil Consortium, the University of Edinburgh, the Eidgenössische Technische Hochschule (ETH) Zürich, Fermi National Accelerator Laboratory, the University of Illinois at Urbana-Champaign, the Institut de Ciències de l’Espai (IEEC/CSIC), the Institut de Física d’Altes Energies, Lawrence Berkeley National Laboratory, the Ludwig-Maximilians Universität München and the associated Excellence Cluster Universe, the University of Michigan, the National Optical Astronomy Observatory, the University of Nottingham, The Ohio State University, the University of Pennsylvania, the University of Portsmouth, SLAC National Accelerator Laboratory, Stanford University, the University of Sussex, and Texas A&M University. The DES participants from Spanish institutions are partially supported by MINECO under Grants No. AYA2012-39559, No. ESP2013-48274, No. FPA2013-47986, and Centro de Excelencia Severo Ochoa SEV-2012-0234. Research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013) including ERC Grant Agreements No. 240672, No. 291329, and No. 306478. D. G. is an Einstein Fellow.
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)Transregio 33
NASA Einstein FellowshipPF5-160138
Department of Energy (DOE)UNSPECIFIED
Ministerio de Economía, Industria y Competitividad (MINECO)AYA2012-39559
Science and Technology Facilities Council (STFC)UNSPECIFIED
Higher Education Funding Council for EnglandUNSPECIFIED
University of Illinois Urbana-ChampaignUNSPECIFIED
University of ChicagoUNSPECIFIED
Ohio State UniversityUNSPECIFIED
Texas A&M UniversityUNSPECIFIED
Financiadora de Estudos e Projetos (FINEP)UNSPECIFIED
Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ)UNSPECIFIED
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNSPECIFIED
Ministério da Ciência, Tecnologia e Inovação (MCTI)UNSPECIFIED
Ministerio de Economía, Industria y Competitividad (MINECO)ESP2013-48274
Ministerio de Economía, Industria y Competitividad (MINECO)FPA2013-47986
Centro de Excelencia Severo OchoaSEV-2012-0234
European Research Council (ERC)240672
European Research Council (ERC)291329
European Research Council (ERC)306478
Issue or Number:2
Record Number:CaltechAUTHORS:20180716-104244324
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87876
Deposited By: Tony Diaz
Deposited On:16 Jul 2018 17:59
Last Modified:09 Mar 2020 13:18

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