Dark Energy Survey year 3 results: covariance modelling and its impact on parameter estimation and quality of fit
O. FriedrichChurchill College, University of Cambridge, Cambridge CB3 0DS, UKF. Andrade-OliveiraInstituto de Física Teórica, Universidade Estadual Paulista, São Paulo, 01140-070, BrazilH. CamachoInstituto de Física Teórica, Universidade Estadual Paulista, São Paulo, 01140-070, BrazilO. AlvesDepartment of Physics, University of Michigan, Ann Arbor, MI 48109, USAR. RosenfeldICTP South American Institute for Fundamental Research Instituto de Física Teórica, Universidade Estadual Paulista, São Paulo, 01140-070, BrazilJavier SánchezFermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USAXiao FangDepartment of Astronomy/Steward Observatory, University of Arizona, 933 North Cherry Avenue, Tucson, AZ 85721-0065, USAT. F. EiflerDepartment of Astronomy/Steward Observatory, University of Arizona, 933 North Cherry Avenue, Tucson, AZ 85721-0065, USAE. KrauseDepartment of Astronomy/Steward Observatory, University of Arizona, 933 North Cherry Avenue, Tucson, AZ 85721-0065, USAC. ChangDepartment of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637, USAY. OmoriKavli Institute for Particle Astrophysics and Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USAA. AmonKavli Institute for Particle Astrophysics and Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USAEric J. BaxterDepartment of Physics and Astronomy, University of Hawaii, Watanabe 416, 2505 Correa Road, Honolulu, HI 96822, USAJ. Elvin-PooleCenter for Cosmology and Astro-Particle Physics, The Ohio State University, Columbus, OH 43210, USADragan HutererDepartment of Physics, University of Michigan, Ann Arbor, MI 48109, USAA. PorredonCenter for Cosmology and Astro-Particle Physics, The Ohio State University, Columbus, OH 43210, USAJ. PratDepartment of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637, USAVilma Reis TerraInstituto de Física Teórica, Universidade Estadual Paulista, São Paulo, 01140-070, BrazilA. TrojaICTP South American Institute for Fundamental Research Instituto de Física Teórica, Universidade Estadual Paulista, São Paulo, 01140-070, BrazilA. AlarconArgonne National Laboratory, 9700 South Cass Avenue, Lemont, IL 60439, USAK. BechtolPhysics Department, 2320 Chamberlin Hall, University of Wisconsin-Madison, 1150 University Avenue, Madison, WI 53706-1390, USAG. M. BernsteinDepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USARomain BuchsSLAC National Accelerator Laboratory, Menlo Park, CA 94025, USAA. CamposDepartment of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15312, USAA. Carnero RosellDepartamento Astrofísica, Universidad de La Laguna, E-38206 La Laguna, Tenerife, SpainM. Carrasco KindDepartment of Astronomy, University of Illinois at Urbana–Champaign, 1002 West Green Street, Urbana, IL 61801, USAR. CawthonPhysics Department, 2320 Chamberlin Hall, University of Wisconsin-Madison, 1150 University Avenue, Madison, WI 53706-1390, USAA. ChoiCenter for Cosmology and Astro-Particle Physics, The Ohio State University, Columbus, OH 43210, USAJ. CorderoJodrell Bank Center for Astrophysics, School of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UKM. CrocceInstitut d’Estudis Espacials de Catalunya (IEEC), E-08034 Barcelona, SpainC. DavisKavli Institute for Particle Astrophysics and Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USAJoseph DeRoseDepartment of Astronomy, University of California, Berkeley, 501 Campbell Hall, Berkeley, CA 94720, USAH. T. DiehlFermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USAScott DodelsonDepartment of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15312, USAC. DouxDepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USAA. Drlica-WagnerDepartment of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637, USAF. ElsnerDepartment of Physics & Astronomy, University College London, Gower Street, London WC1E 6BT, UKS. EverettP. FosalbaInstitut d’Estudis Espacials de Catalunya (IEEC), E-08034 Barcelona, SpainM. GattiInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, E-08193 Bellaterra (Barcelona), SpainG. GianniniInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, E-08193 Bellaterra (Barcelona), SpainD. GruenDepartment of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA 94305, USAR. A. GruendlDepartment of Astronomy, University of Illinois at Urbana–Champaign, 1002 West Green Street, Urbana, IL 61801, USAI. HarrisonJodrell Bank Center for Astrophysics, School of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UKW. G. HartleyDépartement de Physique Théorique and Center for Astroparticle Physics, Université de Genève, 24 Quai Ernest Ansermet, CH-1211 Geneva, SwitzerlandBhuvnesh JainDepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USAMike JarvisDepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USAN. MacCrannDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, UKJ. McCulloughKavli Institute for Particle Astrophysics and Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USAJ. MuirKavli Institute for Particle Astrophysics and Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USAJ. MylesDepartment of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA 94305, USAShivam PandeyDepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USAMarco RaveriKavli Institute for Cosmological Physics, University of Chicago, Chicago, IL 60637, USAA. RoodmanKavli Institute for Particle Astrophysics and Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USAM. Rodríguez-MonroyCentro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), Madrid, 28040, SpainE. S. RykoffKavli Institute for Particle Astrophysics and Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USAS. SamuroffDepartment of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15312, USAC. SánchezDepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USAL F SeccoDepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USAI. Sevilla-NoarbeCentro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), Madrid, 28040, SpainE. SheldonBrookhaven National Laboratory, Bldg 510, Upton, NY 11973, USAM. A. TroxelDepartment of Physics, Duke University Durham, Durham, NC 27708, USAN. WeaverdyckDepartment of Physics, University of Michigan, Ann Arbor, MI 48109, USAB. YannyFermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USAM. AguenaDepartamento de Física Matemática, Instituto de Física, Universidade de São Paulo, CP 66318, São Paulo, SP 05314-970, BrazilS. ÀvilaInstituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid, E-28049 Madrid, SpainDavid BaconInstitute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 3FX, UKE. BertinCNRS, UMR 7095, Institut d’Astrophysique de Paris, F-75014 Paris, FranceS BhargavaDepartment of Physics and Astronomy, Pevensey Building, University of Sussex, Brighton BN1 9QH, UKDavid BrooksDepartment of Physics & Astronomy, University College London, Gower Street, London WC1E 6BT, UKD. L. BurkeKavli Institute for Particle Astrophysics and Cosmology, Stanford University, PO Box 2450, Stanford, CA 94305, USAJ. CarreteroInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, E-08193 Bellaterra (Barcelona), SpainM. CostanziINAF – Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, I-34143 Trieste, ItalyL. N. da CostaLaboratório Interinstitucional de e-Astronomia – LIneA, Rua Gal. José Cristino 77, Rio de Janeiro, RJ 20921-400, BrazilM. E. S. PereiraDepartment of Physics, University of Michigan, Ann Arbor, MI 48109, USAJ. De VicenteCentro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), Madrid, 28040, SpainS. DesaiDepartment of Physics, IIT Hyderabad, Kandi, Telangana 502285, IndiaA. E. EvrardDepartment of Astronomy, University of Michigan, Ann Arbor, MI 48109, USAI. FerreroInstitute of Theoretical Astrophysics, University of Oslo, PO Box 1029 Blindern, NO-0315 Oslo, NorwayJ. FriemanFermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USAJ. García-BellidoInstituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid, E-28049 Madrid, SpainE. GaztañagaInstitut d’Estudis Espacials de Catalunya (IEEC), E-08034 Barcelona, SpainD. W. GerdesDepartment of Astronomy, University of Michigan, Ann Arbor, MI 48109, USAT. GiannantonioInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKJ. GschwendLaboratório Interinstitucional de e-Astronomia – LIneA, Rua Gal. José Cristino 77, Rio de Janeiro, RJ 20921-400, BrazilG. GutiérrezFermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USAS. R. HintonSchool of Mathematics and Physics, University of Queensland, Brisbane, QLD 4072, AustraliaD L HollowoodK. HonscheidCenter for Cosmology and Astro-Particle Physics, The Ohio State University, Columbus, OH 43210, USAD. J. JamesCenter for Astrophysics | Harvard & Smithsonian, 60 Garden Street, Cambridge, MA 02138, USAK. KuehnAustralian Astronomical Optics, Macquarie University, North Ryde, NSW 2113, AustraliaO. LahavDepartment of Physics & Astronomy, University College London, Gower Street, London WC1E 6BT, UKM. LimaDepartamento de Física Matemática, Instituto de Física, Universidade de São Paulo, CP 66318, São Paulo, SP 05314-970, BrazilM. A. G. MaiaLaboratório Interinstitucional de e-Astronomia – LIneA, Rua Gal. José Cristino 77, Rio de Janeiro, RJ 20921-400, BrazilF. MenanteauDepartment of Astronomy, University of Illinois at Urbana–Champaign, 1002 West Green Street, Urbana, IL 61801, USAR. MiquelInstitució Catalana de Recerca i Estudis Avançats, E-08010 Barcelona, SpainR. MorganPhysics Department, 2320 Chamberlin Hall, University of Wisconsin-Madison, 1150 University Avenue, Madison, WI 53706-1390, USAA. PalmeseFermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USAF. Paz-ChinchónInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKA A PlazasDepartment of Astrophysical Sciences, Princeton University, Peyton Hall, Princeton, NJ 08544, USA
2021en
ABI
Annotatsiya
ABSTRACT We describe and test the fiducial covariance matrix model for the combined two-point function analysis of the Dark Energy Survey Year 3 (DES-Y3) data set. Using a variety of new ansatzes for covariance modelling and testing, we validate the assumptions and approximations of this model. These include the assumption of Gaussian likelihood, the trispectrum contribution to the covariance, the impact of evaluating the model at a wrong set of parameters, the impact of masking and survey geometry, deviations from Poissonian shot noise, galaxy weighting schemes, and other sub-dominant effects. We find that our covariance model is robust and that its approximations have little impact on goodness of fit and parameter estimation. The largest impact on best-fitting figure-of-merit arises from the so-called fsky approximation for dealing with finite survey area, which on average increases the χ2 between maximum posterior model and measurement by $3.7{{\ \rm per\ cent}}$ (Δχ2 ≈ 18.9). Standard methods to go beyond this approximation fail for DES-Y3, but we derive an approximate scheme to deal with these features. For parameter estimation, our ignorance of the exact parameters at which to evaluate our covariance model causes the dominant effect. We find that it increases the scatter of maximum posterior values for Ωm and σ8 by about $3{{\ \rm per\ cent}}$ and for the dark energy equation-of-state parameter by about $5{{\ \rm per\ cent}}$.
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