Dark Energy Survey Year 3 results: marginalization over redshift distribution uncertainties using ranking of discrete realizations

Author:

Cordero Juan P1ORCID,Harrison Ian12ORCID,Rollins Richard P13,Bernstein G M4ORCID,Bridle S L1,Alarcon A567,Alves O89,Amon A101112,Andrade-Oliveira F913,Camacho H913,Campos A14,Choi A15ORCID,DeRose J1617,Dodelson S14,Eckert K4,Eifler T F1819ORCID,Everett S16,Fang X19ORCID,Friedrich O2021,Gruen D101112,Gruendl R A2223,Hartley W G24,Huff E M18,Krause E19,Kuropatkin N25,MacCrann N26ORCID,McCullough J11,Myles J101112ORCID,Pandey S4,Raveri M27,Rosenfeld R1328,Rykoff E S1112,Sánchez C4ORCID,Sánchez J25,Sevilla-Noarbe I29,Sheldon E30,Troxel M31ORCID,Wechsler R101112,Yanny B25,Yin B14,Zhang Y25,Aguena M1332ORCID,Allam S25,Bertin E3334ORCID,Brooks D35,Burke D L1112,Carnero Rosell A3637ORCID,Carrasco Kind M2223ORCID,Carretero J38ORCID,Castander F J397,Cawthon R40ORCID,Costanzi M4142ORCID,da Costa L1332,da Silva Pereira M E8,De Vicente J29ORCID,Diehl H T25,Dietrich J43,Doel P35,Elvin-Poole J1544,Ferrero I45ORCID,Flaugher B25,Fosalba P397ORCID,Frieman J2527,Garcia-Bellido J46ORCID,Gerdes D847,Gschwend J1332,Gutierrez G25,Hinton S48ORCID,Hollowood D L16ORCID,Honscheid K1544,Hoyle B434950ORCID,James D51,Kuehn K5253,Lahav O35,Maia M A G1332,March M4ORCID,Menanteau F2223,Miquel R3854,Morgan R40,Muir J1155ORCID,Palmese A2527ORCID,Paz-Chinchon F2356,Pieres A1357ORCID,Plazas Malagón A58ORCID,Sánchez E29,Scarpine V25,Serrano S597,Smith M60ORCID,Soares-Santos M8,Suchyta E61ORCID,Swanson M23,Tarle G8,Thomas D62ORCID,To C101112,Varga T N4950,

Affiliation:

1. Jodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, The University of Manchester , Manchester M13 9PL, UK

2. Department of Physics, University of Oxford , Denys Wilkinson Building, Keble Road, Oxford OX1 3RH, UK

3. Institute for Astronomy, University of Edinburgh , Edinburgh EH9 3HJ, UK

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

5. Argonne National Laboratory , 9700 South Cass Avenue, Lemont, IL 60439, USA

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

7. Institut d’Estudis Espacials de Catalunya (IEEC) , E-08034 Barcelona, Spain

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

9. Instituto de Física Teórica, Universidade Estadual Paulista , São Paulo, 01140-070, Brazil

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

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

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

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

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

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

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

17. Department of Astronomy, University of California , Berkeley, 501 Campbell Hall, Berkeley, CA 94720, USA

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

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

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

21. Churchill College, University of Cambridge , CB3 0DS Cambridge, UK

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

23. Center for Astrophysical Surveys, National Center for Supercomputing Applications , 1205 West Clark St., Urbana, IL 61801, USA

24. Département de Physique Théorique and Center for Astroparticle Physics, Université de Genève , 24 quai Ernest Ansermet, CH-1211 Geneva, Switzerland

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

26. Department of Applied Mathematics and Theoretical Physics, University of Cambridge , Cambridge CB3 0WA, UK

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

28. ICTP South American Institute for Fundamental Research Instituto de Física Teórica, Universidade Estadual Paulista , São Paulo, 01140-070, Brazil

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

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

31. Department of Physics, Duke University, Durham , NC 27708, USA

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

33. CNRS , UMR 7095, Institut d’Astrophysique de Paris, F-75014 Paris, France

34. Sorbonne Universités , UPMC Univ Paris 06, UMR 7095, Institut d’Astrophysique de Paris, F-75014 Paris, France

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

36. Instituto de Astrofisica de Canarias , E-38205 La Laguna, Tenerife, Spain

37. Universidad de La Laguna , Dpto. Astrofísica, E-38206 La Laguna, Tenerife, Spain

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

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

40. Physics Department , 2320 Chamberlin Hall, University of Wisconsin-Madison, 1150 University Avenue Madison, WI 53706-1390, USA

41. INAF-Osservatorio Astronomico di Trieste , via G. B. Tiepolo 11, I-34143 Trieste, Italy

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

43. Faculty of Physics, Ludwig-Maximilians-Universität , Scheinerstr. 1, D-81679 Munich, Germany

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

45. Institute of Theoretical Astrophysics, University of Oslo . PO Box 1029 Blindern, NO-0315 Oslo, Norway

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

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

48. School of Mathematics and Physics, University of Queensland , Brisbane QLD 4072, Australia

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

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

51. Center for Astrophysics | Harvard & Smithsonian , 60 Garden Street, Cambridge, MA 02138, USA

52. Australian Astronomical Optics, Macquarie University , North Ryde NSW 2113, Australia

53. Lowell Observatory , 1400 Mars Hill Rd, Flagstaff, AZ 86001, USA

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

55. Perimeter Institute for Theoretical Physics , 31 Caroline St. North, Waterloo, ON N2L 2Y5, Canada

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

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

58. Department of Astrophysical Sciences , Princeton University, Peyton Hall, Princeton, NJ 08544, USA

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

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

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

62. Institute of Cosmology and Gravitation, University of Portsmouth , Portsmouth PO1 3FX, UK

Abstract

ABSTRACT Cosmological information from weak lensing surveys is maximized by sorting source galaxies into tomographic redshift subsamples. Any uncertainties on these redshift distributions must be correctly propagated into the cosmological results. We present hyperrank, a new method for marginalizing over redshift distribution uncertainties, using discrete samples from the space of all possible redshift distributions, improving over simple parametrized models. In hyperrank, the set of proposed redshift distributions is ranked according to a small (between one and four) number of summary values, which are then sampled, along with other nuisance parameters and cosmological parameters in the Monte Carlo chain used for inference. This approach can be regarded as a general method for marginalizing over discrete realizations of data vector variation with nuisance parameters, which can consequently be sampled separately from the main parameters of interest, allowing for increased computational efficiency. We focus on the case of weak lensing cosmic shear analyses and demonstrate our method using simulations made for the Dark Energy Survey (DES). We show that the method can correctly and efficiently marginalize over a wide range of models for the redshift distribution uncertainty. Finally, we compare hyperrank to the common mean-shifting method of marginalizing over redshift uncertainty, validating that this simpler model is sufficient for use in the DES Year 3 cosmology results presented in companion papers.

Funder

European Research Council

U.S. Department of Energy

Science and Technology Facilities Council

Higher Education Funding Council for England

University of Illinois at Urbana-Champaign

University of Chicago

Ohio State University

Financiadora de Estudos e Projetos

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Ministério da Ciência, Tecnologia e Inovação

Deutsche Forschungsgemeinschaft

University College London

University of Edinburgh

Eidgenössische Technische Hochschule Zürich

Lawrence Berkeley National Laboratory

University of Nottingham

University of Pennsylvania

University of Portsmouth

SLAC National Accelerator Laboratory

Stanford University

University of Sussex

Texas A&M University

Publisher

Oxford University Press (OUP)

Subject

Space and Planetary Science,Astronomy and Astrophysics

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