Constraints on ⨍(R) gravity from thermal-Sunyaev-Zel'dovich-effect-selected SPT galaxy clusters and weak lensing mass calibration from DES and HST
Creators
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Vogt, S. M. L.1
- Bocquet, S.1
- Davies, C. T.1
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Mohr, J. J.1
- Schmidt, F.2
- Ruan, C.-Z.3
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Li, B.4
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Hernández-Aguayo, C.2
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Grandis, S.1
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Bleem, L. E.5, 6
- Klein, M.1
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Schrabback, T.7
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Aguena, M.8
- Brooks, D.9
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Burke, D. L.10, 11
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Campos, A.12
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Carnero Rosell, A.13, 8
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Carretero, J.14
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Costanzi, M.15, 16, 17
- da Costa, L. N.8
- Pereira, M. E. S.18
- De Vicente, J.19
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Doel, P.9
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Everett, S.20
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Ferrero, I.3
- Frieman, J.21, 6
- García-Bellido, J.22
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Gatti, M.23
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Giannini, G.14, 6
- Gruen, D.1
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Gruendl, R. A.24, 25
- Hinton, S. R.26
- Hollowood, D. L.27
- Lee, S.28
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Lima, M.29, 8
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Marshall, J. L.30
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Mena-Fernández, J.31
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Miquel, R.32, 14
- Myles, J.33
- Paterno, M.21
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Pieres, A.8, 34
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Plazas Malagón, A. A.10, 11
- Reichardt, C. L.35
- Romer, A. K.36
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Samuroff, S.37
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Sarkar, A.38
- Sanchez, E.19
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Sevilla-Noarbe, I.19
- Smith, M.39
- Suchyta, E.40
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Swanson, M. E. C.24
- Tarle, G.41
- Vikram, V.42
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Weaverdyck, N.43, 44
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Weller, J.1
- SPT Collaboration
- DES Collaboration
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1.
Ludwig-Maximilians-Universität München
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2.
Max Planck Institute for Astrophysics
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3.
University of Oslo
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4.
Durham University
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5.
Argonne National Laboratory
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6.
University of Chicago
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7.
Universität Innsbruck
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8.
Laboratório Interinstitucional de e-Astronomia
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9.
University College London
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10.
Stanford University
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11.
SLAC National Accelerator Laboratory
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12.
Carnegie Mellon University
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13.
Instituto de Astrofísica de Canarias
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14.
Institute for High Energy Physics
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15.
University of Trieste
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16.
Trieste Astronomical Observatory
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17.
Institute for Fundamental Physics of the Universe
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18.
Universität Hamburg
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19.
Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
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20.
California Institute of Technology
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21.
Fermilab
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22.
Institute for Theoretical Physics
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23.
University of Pennsylvania
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24.
National Center for Supercomputing Applications
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25.
University of Illinois Urbana-Champaign
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26.
University of Queensland
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27.
University of California, Santa Cruz
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28.
Jet Propulsion Lab
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29.
Universidade de São Paulo
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30.
Texas A&M University
- 31. LPSC Grenoble—53, Avenue des Martyrs 38026 Grenoble, France
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32.
Institució Catalana de Recerca i Estudis Avançats
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33.
Princeton University
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34.
National Observatory
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35.
University of Melbourne
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36.
University of Sussex
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37.
Northeastern University
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38.
Massachusetts Institute of Technology
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39.
Lancaster University
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40.
Oak Ridge National Laboratory
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41.
University of Michigan–Ann Arbor
- 42. Argone National Laboratory, 9700 South Cass Avenue, Lemont, Illinois 60439, USA
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43.
University of California, Berkeley
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44.
Lawrence Berkeley National Laboratory
Abstract
We present constraints on the 𝑓(𝑅) gravity model using a sample of 1005 galaxy clusters in the redshift range 0.25–1.78 that have been selected through the thermal Sunyaev-Zel’dovich effect from South Pole Telescope data and subjected to optical and near-infrared confirmation with the multicomponent matched filter algorithm. We employ weak gravitational lensing mass calibration from the Dark Energy Survey Year 3 data for 688 clusters at 𝑧 <0.95 and from the Hubble Space Telescope for 39 clusters with 0.6 <𝑧 <1.7. Our cluster sample is a powerful probe of 𝑓(𝑅) gravity, because this model predicts a scale-dependent enhancement in the growth of structure, which impacts the halo mass function (HMF) at cluster mass scales. To account for these modified gravity effects on the HMF, our analysis employs a semianalytical approach calibrated with numerical simulations. Combining calibrated cluster counts with primary cosmic microwave background temperature and polarization anisotropy measurements from the Planck 2018 release, we derive robust constraints on the 𝑓(𝑅) parameter 𝑓𝑅0. Our results, log10|𝑓𝑅0| <−5.32 at the 95% credible level, are the tightest current constraints on 𝑓(𝑅) gravity from cosmological scales. This upper limit rules out 𝑓(𝑅)-like deviations from general relativity that result in more than a ∼20% enhancement of the cluster population on mass scales 𝑀200c>3×1014𝑀⊙.
Copyright and License
©2025 American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.
Acknowledgement
This research was supported by (1) the Excellence Cluster ORIGINS, which is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2094-390783311, by (2) the Max Planck Society Faculty Fellowship program at MPE, and by (3) the Ludwig-Maximilians-Universität in Munich. The FORGE simulations and analyses of this project made use of the DiRAC@Durham facility managed by the Institute for Computational Cosmology (ICC) on behalf of the STFC DiRAC HPC Facility [109]. The equipment was funded by BEIS capital funding via STFC Capital Grants No. ST/K00042X/1, No. ST/P002293/1, No. ST/R002371/1, and No. ST/S002502/1, Durham University and STFC Operations Grant No. ST/R000832/1. DiRAC is part of the National e-Infrastructure. B. L. is supported by STFC via Consolidated Grant No. ST/X001075/1. The Innsbruck authors acknowledge support provided by the Austrian Research Promotion Agency (FFG) and the Federal Ministry of the Republic of Austria for Climate Action, Environment, Mobility, Innovation and Technology (BMK) via the Austrian Space Applications Programme with Grants No. 899537, No. 900565, and No. 911971. The South Pole Telescope program is supported by the National Science Foundation (NSF) through the Grants No. OPP-1852617 and No. 2332483. Partial support is also provided by the Kavli Institute of Cosmological Physics at the University of Chicago. Work at Argonne National Lab is supported by UChicago Argonne LLC, Operator of Argonne National Laboratory (Argonne), Argonne, a U.S. Department of Energy Office of Science Laboratory, is operated under Contract No. DE-AC02-06CH11357. 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 Collaborating Institutions are Argonne National Laboratory, the University of California at Santa Cruz, the University of Cambridge, Centro de Investigaciones Energéticas, 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 Origins, the University of Michigan, NSF’s NOIRLab, 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, Texas A&M University, and the OzDES Membership Consortium. Based in part on observations at Cerro Tololo Inter-American Observatory at NSF’s NOIRLab (NOIRLab Prop. ID 2012B-0001; PI: J. F.), which is managed by the Association of Universities for Research in Astronomy (AURA) under a cooperative agreement with the National Science Foundation. The DES data management system is supported by the National Science Foundation under Grants No. AST-1138766 and No. AST-1536171. The DES participants from Spanish institutions are partially supported by MICINN under Grants No. ESP2017-89838, No. PGC2018-094773, No. PGC2018-102021, No. SEV-2016-0588, No. SEV-2016-0597, and No. MDM-2015-0509, some of which include ERDF funds from the European Union. IFAE is partially funded by the CERCA program of the Generalitat de Catalunya. Research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Program (No. FP7/2007-2013) including ERC Grant Agreements No. 240672, No. 291329, and No. 306478. We acknowledge support from the Brazilian Instituto Nacional de Ciência e Tecnologia (INCT) do e-Universo (CNPq Grant No. 465376/2014-2). This work is based on observations made with the NASA/ESA Hubble Space Telescope, using imaging data from the SPT follow-up GO Programs No. 12246 (PI: C. S.), No. 12477 (PI: F. W. H.), No. 13412 (PI: T. S.), No. 14252 (PI: V. S.), No. 14352 (PI: J. H.-L.), and No. 14677 (PI: T. S.). STScI is operated by the Association of Universities for Research in Astronomy, Inc. under NASA Contract No. NAS 5-26555. It is also based on observations made with ESO Telescopes at the La Silla Paranal Observatory under Programs No. 086.A-0741 (PI: Bazin), No. 088.A-0796 (PI: Bazin), No. 088.A-0889 (PI: Mohr), No. 089.A-0824 (PI: Mohr), No. 0100.A-0204 (PI: T. S.), No. 0100.A-0217 (PI: Hernández-Martín), No. 0101.A-0694 (PI: Zohren), and No. 0102.A-0189 (PI: Zohren). It is also based on observations obtained at the Gemini Observatory, which is operated by the Association of Universities for Research in Astronomy, Inc., under a cooperative agreement with the NSF on behalf of the Gemini partnership: the National Science Foundation (United States), National Research Council (Canada), CONICYT (Chile), Ministerio de Ciencia, Tecnología e Innovación Productiva (Argentina), Ministério da Ciência, Tecnologia e Inovação (Brazil), and Korea Astronomy and Space Science Institute (Republic of Korea), under Programs No. 2014B-0338 and No. 2016B-0176 (PI: B. B.). This manuscript has been authored by 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.
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Additional details
Funding
- Deutsche Forschungsgemeinschaft
- Ludwig-Maximilians-Universität München
- Department for Business, Energy and Industrial Strategy
- Science and Technology Facilities Council
- ST/K00042X/1
- Science and Technology Facilities Council
- ST/P002293/1
- Science and Technology Facilities Council
- ST/R002371/1
- Science and Technology Facilities Council
- ST/S002502/1
- Science and Technology Facilities Council
- ST/R000832/1
- Science and Technology Facilities Council
- ST/X001075/1
- Durham University
- Austrian Research Promotion Agency
- Bundesministerium für Klimaschutz, Umwelt, Energie, Mobilität, Innovation und Technologie
- National Science Foundation
- OPP-1852617
- National Science Foundation
- 2332483
- National Science Foundation
- 2012B-0001
- National Science Foundation
- AST-1138766
- National Science Foundation
- AST-1536171
- University of Chicago
- Argonne National Laboratory
- United States Department of Energy
- Office of Science
- DE-AC02-06CH11357
- Research England
- National Center for Supercomputing Applications
- University of Illinois Urbana-Champaign
- The Ohio State University
- Mitchell Institute
- Texas A&M University
- Financiadora de Estudos e Projetos
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
- National Council for Scientific and Technological Development
- 465376/2014-2
- Ministry of Science, Technology and Innovation
- University of California, Santa Cruz
- University of Cambridge
- Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
- University of Chicago
- University College London
- Deutsches Elektronen-Synchrotron DESY
- University of Edinburgh
- ETH Zurich
- Fermi National Accelerator Laboratory
- Integrated Electronics Engineering Center, Binghamton University
- Consejo Superior de Investigaciones Científicas
- Institute for High Energy Physics
- Lawrence Berkeley National Laboratory
- University of Michigan–Ann Arbor
- University of Nottingham
- The Ohio State University
- University of Portsmouth
- SLAC National Accelerator Laboratory
- Stanford University
- University of Sussex
- Ministerio de Ciencia, Innovación y Universidades
- ESP2017-89838
- Ministerio de Ciencia, Innovación y Universidades
- PGC2018-094773
- Ministerio de Ciencia, Innovación y Universidades
- PGC2018-102021
- Ministerio de Ciencia, Innovación y Universidades
- SEV-2016-0588
- Ministerio de Ciencia, Innovación y Universidades
- SEV-2016-0597
- Ministerio de Ciencia, Innovación y Universidades
- MDM-2015-0509
- European Commission
- European Commission
- CERCA Institution
- Government of Catalonia
- European Research Council
- 240672
- European Research Council
- 306478
- European Commission
- FP7/2007-2013
- Instituto Nacional de Ciência e Tecnologia: Física Nuclear e Aplicações
- National Aeronautics and Space Administration
- 12246
- National Aeronautics and Space Administration
- 12477
- National Aeronautics and Space Administration
- 13412
- National Aeronautics and Space Administration
- 14252
- National Aeronautics and Space Administration
- 14352
- National Aeronautics and Space Administration
- 14677
- National Aeronautics and Space Administration
- NAS 5-26555
- Gemini Observatory
- National Research Council Canada
- Agencia Nacional de Investigación y Desarrollo
- Ministerio de Ciencia, Tecnología e Innovación
- Korea Astronomy and Space Science Institute
- 2014B-0338
- Korea Astronomy and Space Science Institute
- 2016B-0176
- Office of High Energy Physics
- Excellence Cluster ORIGINS
- Germany's Excellence Strategy
- EXC-2094-390783311
- Austrian Space Applications Programme
- 899537
- Austrian Space Applications Programme
- 900565
- Austrian Space Applications Programme
- 911971
- Ministry of Science and Education of Spain
- Institut de Ciències de l'Espai
- NOIRLab
- OzDES Membership Consortium
- Association of Universities for Research in Astronomy
- La Silla Paranal Observatory
- 086.A-0741
- La Silla Paranal Observatory
- 088.A-0796
- La Silla Paranal Observatory
- 088.A-0889
- La Silla Paranal Observatory
- 089.A-0824
- La Silla Paranal Observatory
- 0100.A-0204
- La Silla Paranal Observatory
- 0100.A-0217
- La Silla Paranal Observatory
- 0101.A-0694
- La Silla Paranal Observatory
- 0102.A-0189