Methods for cluster cosmology and application to the SDSS in preparation for DES Year 1 release

Author:

Costanzi M12,Rozo E3,Simet M4,Zhang Y5ORCID,Evrard A E67ORCID,Mantz A8ORCID,Rykoff E S89,Jeltema T10,Gruen D89ORCID,Allen S11,McClintock T3ORCID,Romer A K12,von der Linden A13,Farahi A14ORCID,DeRose J811,Varga T N1516,Weller J151716,Giles P12,Hollowood D L10,Bhargava S12,Bermeo-Hernandez A12,Chen X7,Abbott T M C18,Abdalla F B1920,Avila S21,Bechtol K22,Brooks D19,Buckley-Geer E5,Burke D L89,Rosell A Carnero2324,Kind M Carrasco2526,Carretero J27,Crocce M2829,Cunha C E8,da Costa L N2324,Davis C8,De Vicente J30,Diehl H T5,Dietrich J P1716,Doel P19,Eifler T F3132,Estrada J5,Flaugher B5,Fosalba P2829,Frieman J533,García-Bellido J34,Gaztanaga E2829,Gerdes D W67,Giannantonio T4163536,Gruendl R A2526,Gschwend J2324,Gutierrez G5,Hartley W G1937,Honscheid K3839,Hoyle B1516,James D J40,Krause E31,Kuehn K41,Kuropatkin N5,Lima M2342,Lin H5,Maia M A G2324,March M43,Marshall J L44,Martini P3845,Menanteau F2526,Miller C J67,Miquel R2746,Mohr J J171516,Ogando R L C2324,Plazas A A32,Roodman A89,Sanchez E30,Scarpine V5,Schindler R9,Schubnell M7,Serrano S2829,Sevilla-Noarbe I30,Sheldon E47,Smith M48,Soares-Santos M49,Sobreira F2350,Suchyta E51,Swanson M E C26,Tarle G7,Thomas D21,Wechsler R H8911

Affiliation:

1. INAF-Osservatorio Astronomico di Trieste, Via G. B Tiepolo 11, I-34143 Trieste, Italy

2. IFPU-Institute for Fundamental Physics of the Universe, Via Beirut 2, 34014 Trieste, Italy

3. Department of Physics, University of Arizona, Tucson, AZ 85721, USA

4. Department of Physics and Astronomy, University of California Riverside, 900 University Ave, Riverside, CA 92521, USA

5. Fermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USA

6. Department of Astronomy, University of Michigan, Ann Arbor, MI 48109, USA

7. Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA

8. Kavli Institute for Particle Astrophysics & Cosmology, PO Box 2450, Stanford University, Stanford, CA 94305, USA

9. SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA

10. Santa Cruz Institute for Particle Physics, Santa Cruz, CA 95064, USA

11. Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA 94305, USA

12. Department of Physics and Astronomy, Pevensey Building, University of Sussex, Brighton BN1 9QH, UK

13. Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11794, USA

14. Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15312, USA

15. Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse, D-85748 Garching, Germany

16. Universitäts-Sternwarte, Fakultät für Physik, Ludwig-Maximilians Universität München, Scheinerstr 1, D-81679 München, Germany

17. Excellence Cluster Universe, Boltzmannstr 2, D-85748 Garching, Germany

18. Cerro Tololo Inter-American Observatory, National Optical Astronomy Observatory, Casilla 603, La Serena, Chile

19. Department of Physics & Astronomy, University College London, Gower Street, London WC1E 6BT, UK

20. Department of Physics and Electronics, Rhodes University, PO Box 94, Grahamstown 6140, South Africa

21. Institute of Cosmology & Gravitation, University of Portsmouth, Portsmouth PO1 3FX, UK

22. LSST, 933 North Cherry Avenue, Tucson, AZ 85721, USA

23. Laboratório Interinstitucional de e-Astronomia – LIneA, Rua Gal. José Cristino 77, Rio de Janeiro, RJ 20921-400, Brazil

24. Observatório Nacional, Rua Gal. José Cristino 77, Rio de Janeiro, RJ 20921-400, Brazil

25. Department of Astronomy, University of Illinois at Urbana-Champaign, 1002 W. Green Street, Urbana, IL 61801, USA

26. National Center for Supercomputing Applications, 1205 West Clark St., Urbana, IL 61801, USA

27. Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, E-08193 Bellaterra (Barcelona), Spain

28. Institut d’Estudis Espacials de Catalunya (IEEC), E-08193 Barcelona, Spain

29. Institute of Space Sciences (ICE, CSIC), Campus UAB, Carrer de Can Magrans, s/n, E-08193 Barcelona, Spain

30. Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), 28040 Madrid, Spain

31. Department of Astronomy/Steward Observatory, 933 North Cherry Avenue, Tucson, AZ 85721-0065, USA

32. Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr., Pasadena, CA 91109, USA

33. Kavli Institute for Cosmological Physics, University of Chicago, Chicago, IL 60637, USA

34. Instituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid, E-28049 Madrid, Spain

35. Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK

36. Kavli Institute for Cosmology, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK

37. Department of Physics, ETH Zurich, Wolfgang-Pauli-Strasse 16, CH-8093 Zurich, Switzerland

38. Center for Cosmology and Astro-Particle Physics, The Ohio State University, Columbus, OH 43210, USA

39. Department of Physics, The Ohio State University, Columbus, OH 43210, USA

40. Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 02138, USA

41. Australian Astronomical Observatory, North Ryde, NSW 2113, Australia

42. Departamento de Física Matemática, Instituto de Física, Universidade de São Paulo, CP 66318, São Paulo, SP, 05314-970, Brazil

43. Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USA

44. Department of Physics and Astronomy, George P. and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX 77843, USA

45. Department of Astronomy, The Ohio State University, Columbus, OH 43210, USA

46. Institució Catalana de Recerca i Estudis Avançats, E-08010 Barcelona, Spain

47. Brookhaven National Laboratory, Bldg 510, Upton, NY 11973, USA

48. School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, UK

49. Physics Department, Brandeis University, 415 South Street, Waltham, MA 02453, USA

50. Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 13083-859 Campinas, SP, Brazil

51. Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA

Abstract

ABSTRACT We implement the first blind analysis of cluster abundance data to derive cosmological constraints from the abundance and weak lensing signal of redMaPPer clusters in the Sloan Digital Sky Survey (SDSS). We simultaneously fit for cosmological parameters and the richness–mass relation of the clusters. For a flat Λ cold dark matter cosmological model with massive neutrinos, we find $S_8 \equiv \sigma _{8}(\Omega _\mathrm{ m}/0.3)^{0.5}=0.79^{+0.05}_{-0.04}$. This value is both consistent and competitive with that derived from cluster catalogues selected in different wavelengths. Our result is also consistent with the combined probes analyses by the Dark Energy Survey (DES), the Kilo-Degree Survey (KiDS), and with the cosmic microwave background (CMB) anisotropies as measured by Planck. We demonstrate that the cosmological posteriors are robust against variation of the richness–mass relation model and to systematics associated with the calibration of the selection function. In combination with baryon acoustic oscillation data and big bang nucleosynthesis data (Cooke et al.), we constrain the Hubble rate to be h = 0.66 ± 0.02, independent of the CMB. Future work aimed at improving our understanding of the scatter of the richness–mass relation has the potential to significantly improve the precision of our cosmological posteriors. The methods described in this work were developed for use in the forthcoming analysis of cluster abundances in the DES. Our SDSS analysis constitutes the first part of a staged-unblinding analysis of the full DES data set.

Funder

U.S. Department of Energy

ERC-StG ‘ClustersXCosmo’

Sloan Foundation

Research Corporation for Science Advancement Einstein Postdoctoral Fellowship

Smithsonian Astrophysical Observatory

NASA

National Energy Research Scientific Computing Center

National Science Foundation

Ministry of Science and Education of Spain

Science and Technology Facilities Council

Higher Education Funding Council for England

University of Illinois at Urbana-Champaign

University of Chicago

Ohio State University

Texas A and 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

Ministério da Ciência, Tecnologia e Inovação

Deutsche Forschungsgemeinschaft

Argonne National Laboratory

University of California, Santa Cruz

University of Cambridge

Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas-Madrid

University College London

DES-Brazil Consortium

University of Edinburgh

Eidgenössische Technische Hochschule (ETH) Zürich

Fermi National Accelerator Laboratory

MINECO

European Research Council

European Union’s Seventh Framework Program

Australian Research Council Centre of Excellence for All-sky Astrophysics

Publisher

Oxford University Press (OUP)

Subject

Space and Planetary Science,Astronomy and Astrophysics

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