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Atacama Cosmology Telescope, South Pole Telescope, and Chaotic Inflation

Renata Kallosh1, Andrei Linde1, and Diederik Roest2

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Phys. Rev. Lett. 135, 161001 – Published 14 October, 2025

DOI: https://doi.org/10.1103/d6gn-78hn

Abstract

We show that the simplest generalization of the chaotic inflation model 12m2ϕ2 with nonminimal coupling to gravity (1+ϕ)R provides a good match to the results of the latest data release of the Atacama Cosmology Telescope and South Pole Telescope, with r≈10−2.

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References (26)

  1. T. Louis et al., The Atacama Cosmology Telescope: DR6 power spectra, likelihoods and ΛCDM parameters, arXiv:2503.14452.
  2. E. Calabrese et al. (ACT Collaboration), The Atacama Cosmology Telescope: DR6 constraints on extended cosmological Models, arXiv:2503.14454.
  3. A. G. Adame et al. (DESI Collaboration), DESI 2024 III: Baryon acoustic oscillations from galaxies and quasars, J. Cosmol. Astropart. Phys. 04 (2025) 012.
  4. A. G. Adame et al. (DESI Collaboration), DESI 2024 VI: Cosmological constraints from the measurements of baryon acoustic oscillations, J. Cosmol. Astropart. Phys. 02 (2025) 021.
  5. N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  6. G. Efstathiou and S. Gratton, A detailed description of the CamSpec likelihood pipeline and a reanalysis of the Planck high frequency maps, Open J. Astrophys. 4 (2021), 10.21105/astro.1910.00483.
  7. A. A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys. Lett. 91B, 99 (1980).
  8. D. S. Salopek, J. R. Bond, and J. M. Bardeen, Designing density fluctuation spectra in inflation, Phys. Rev. D 40, 1753 (1989).
  9. F. L. Bezrukov and M. Shaposhnikov, The standard model Higgs boson as the inflaton, Phys. Lett. B 659, 703 (2008).
  10. R. Kallosh, A. Linde, and D. Roest, Superconformal inflationary α-attractors, J. High Energy Phys. 11 (2013) 198.
  11. E. Camphuis et al. (SPT-3G Collaboration), SPT-3G D1: CMB temperature and polarization power spectra and cosmology from 2019 and 2020 observations of the SPT-3G Main field, arXiv:2506.20707.
  12. E. G. M. Ferreira, E. McDonough, L. Balkenhol, R. Kallosh, L. Knox, and A. Linde, The BAO-CMB tension and implications for inflation, arXiv:2507.12459.
  13. C. L. Chang et al., Snowmass2021 cosmic frontier: Cosmic microwave background measurements white paper, arXiv:2203.07638.
  14. E. Allys et al. (LiteBIRD Collaboration), Probing cosmic inflation with the LiteBIRD cosmic microwave background polarization survey, Prog. Theor. Exp. Phys. 2023, 042F01 (2023).
  15. A. D. Linde, Chaotic inflation, Phys. Lett. 129B, 177 (1983).
  16. R. Kallosh, A. Linde, and D. Roest, Universal attractor for inflation at strong coupling, Phys. Rev. Lett. 112, 011303 (2014).
  17. See Supplemental Material at http://link.aps.org/supplemental/10.1103/d6gn-78hn for Mathematica notebooks containing the derivations of these results.
  18. P. A. R. Ade et al. (BICEP/Keck Collaboration), Constraining inflation with the BICEP/Keck CMB polarization experiments, in Proceedings of the 58th Rencontres de Moriond on Cosmology (2024).
  19. E. Hertig, K. Wolz, T. Namikawa, A. Baleato Lizancos, S. Azzoni, and A. Challinor, The Simons Observatory: Combining delensing and foreground cleaning for improved constraints on inflation, in Proceedings of the 58th Rencontres de Moriond on Cosmology (2024).

  20. The same expressions for ns and r as in Eq. (8) appear in pole inflation with p=3, c=2/ξ, and a3=1/ξ [21] and in polynomial attractors for k=2 and μ2=8/ξ [22].

  21. M. Galante, R. Kallosh, A. Linde, and D. Roest, Unity of cosmological inflation attractors, Phys. Rev. Lett. 114, 141302 (2015).
  22. R. Kallosh and A. Linde, Polynomial α-attractors, J. Cosmol. Astropart. Phys. 04 (2022) 017.
  23. R. Kallosh, A. Linde, and Y. Yamada, Planck 2018 and brane inflation revisited, J. High Energy Phys. 01 (2019) 008.
  24. R. Kallosh and A. Linde, CMB targets after the latest Planck data release, Phys. Rev. D 100, 123523 (2019).
  25. R. Kallosh and A. Linde, Hybrid cosmological attractors, Phys. Rev. D 106, 023522 (2022).
  26. R. Kallosh and A. Linde, On the present status of inflationary cosmology, arXiv:2505.13646.

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Phys. Rev. Lett. 135, 161001– Published 14 October, 2025
  • Received 4 April 2025
  • Revised 22 August 2025
  • Accepted 2 September 2025
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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. Funded by SCOAP3.

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