Constraints on Cosmological Parameters from the Angular Power Spectrum of a Combined 2500 deg2 SPT-SZ and Planck Gravitational Lensing Map

G. Simard, Y. Omori, K. Aylor, E. J. Baxter, B. A. Benson, L. E. Bleem, J. E. Carlstrom, C. L. Chang, H. M. Cho, R. Chown, T. M. Crawford, A. T. Crites, T. De Haan, M. A. Dobbs, W. B. Everett, E. M. George, N. W. Halverson, N. L. Harrington, J. W. Henning, G. P. HolderZ. Hou, W. L. Holzapfel, J. D. Hrubes, L. Knox, A. T. Lee, E. M. Leitch, D. Luong-Van, A. Manzotti, J. J. McMahon, S. S. Meyer, L. M. Mocanu, J. J. Mohr, T. Natoli, S. Padin, C. Pryke, C. L. Reichardt, J. E. Ruhl, J. T. Sayre, K. K. Schaffer, E. Shirokoff, Z. Staniszewski, A. A. Stark, K. T. Story, K. Vanderlinde, J. D. Vieira, R. Williamson, W. L.K. Wu

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22 Scopus citations


We report constraints on cosmological parameters from the angular power spectrum of a cosmic microwave background (CMB) gravitational lensing potential map created using temperature data from 2500 deg2 of South Pole Telescope (SPT) data supplemented with data from Planck in the same sky region, with the statistical power in the combined map primarily from the SPT data. We fit the lensing power spectrum to a model including cold dark matter and a cosmological constant (λCDM), and to models with single-parameter extensions to λCDM. We find constraints that are comparable to and consistent with those found using the full-sky Planck CMB lensing data, e.g., σ8ωm0.25 = 0.598 ± 0.024 from the lensing data alone with weak priors placed on other parameters. Combining with primary CMB data, we explore single-parameter extensions to λCDM. We find or ωk = -0.012-0.0230.021 or Mv < 0.70 eV at 95% confidence, in good agreement with results including the lensing potential as measured by Planck. We include two parameters that scale the effect of lensing on the CMB: AL, which scales the lensing power spectrum in both the lens reconstruction power and in the smearing of the acoustic peaks, and Aφφ, which scales only the amplitude of the lensing reconstruction power spectrum. We find Aφφ × AL = 1.01 ± 0.08 for the lensing map made from combined SPT and Planck data, indicating that the amount of lensing is in excellent agreement with expectations from the observed CMB angular power spectrum when not including the information from smearing of the acoustic peaks.

Original languageEnglish (US)
Article number137
JournalAstrophysical Journal
Issue number2
StatePublished - Jun 20 2018

Bibliographical note

Funding Information:
G.S. wishes to thank Elisa GM Ferreira, Joachim Harnois-Déraps and Alexander van Engelen for useful discussions and Jack Holder for digitization of the foreground model. We acknowledge the use of Alexander van Engelen’s implementation of the analytical NL(1) bias in the flat-sky approximation. The South Pole Telescope program is supported by the National Science Foundation through grant PLR-1248097. Partial support is also provided by the NSF Physics Frontier Center grant PHY-0114422 to the Kavli Institute of Cosmological Physics at the University of Chicago, the Kavli Foundation, and the Gordon and Betty Moore Foundation through Grant GBMF#947 to the University of Chicago. This work has made use of computations performed on Guillimin, managed by Calcul Quebec and Compute Canada (funded by CFI, MESI, and FRQNT), and the Blue Waters sustained-petascale computing project (supported by NSF awards OCI-0725070 and ACI-1238993 and the state of Illinois). The McGill authors acknowledge funding from the Natural Sciences and Engineering Research Council of Canada, Canadian Institute for Advanced Research, and Canada Research Chairs program. G.S. acknowledges support from the Fonds de recherche du Québec—Nature et technologies. B.B. has been supported by the Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy, Office of Science, Office of High Energy Physics. C.R. acknowledges support from Australian Research Councils Discovery Projects scheme (DP150103208). Work at Argonne National Laboratory was supported under U.S. Department of Energy contract DE-AC02-06CH11357.

Publisher Copyright:
© 2018. The American Astronomical Society. All rights reserved.


  • cosmic background radiation
  • cosmological parameters
  • gravitational lensing: weak


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