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Towards constraining cosmological parameters with SPT-3G observations of 25% of the sky
Phys. Rev. D 114, 043548 – Published 25 August, 2026
DOI: https://doi.org/10.1103/8yfb-t1j9
Abstract
The South Pole Telescope (SPT), using its third-generation camera, SPT-3G, is conducting observations of the cosmic microwave background (CMB) in temperature and polarization across approximately of the sky at 95, 150, and 220 GHz. This comprehensive dataset should yield stringent constraints on cosmological parameters. In this work, we explore its potential to address the Hubble tension by forecasting constraints from temperature, polarization, and CMB lensing on early dark energy (EDE) and the variation in electron mass in spatially flat and curved universes. For this purpose, we investigate first whether analyzing the distinct SPT-3G observation fields independently, as opposed to as a single, unified region, results in a loss of information relevant to cosmological parameter estimation. We develop a realistic temperature and polarization likelihood pipeline capable of analyzing these fields in these two ways, and subsequently forecast constraints on cosmological parameters. Our findings indicate that any loss of constraining power from analyzing the fields separately is primarily concentrated at low multipoles () and the overall impact on the relative uncertainty on standard cold dark matter parameters is minimal (). Our forecasts suggest that SPT-3G data should improve by more than a factor of 90 and 190 the figure of merit of the EDE and the varying electron mass models, respectively, when combined with Planck data. The likelihood pipeline developed and used in this work is made publicly available online.
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References (65)
- F. Ge, M. Millea, E. Camphuis et al., Cosmology from CMB lensing and delensed EE power spectra using 2019–2020 SPT-3G polarization data, Phys. Rev. D 111, 083534 (2025).
- E. Camphuis, W. Quan, L. Balkenhol et al., SPT-3G D1: CMB temperature and polarization power spectra and cosmology from 2019 and 2020 observations of the SPT-3G Main field, Phys. Rev. D 113, 083504 (2026).
- T. Louis, A. La Posta, Z. Atkins et al., The Atacama Cosmology Telescope: DR6 power spectra, likelihoods and parameters, J. Cosmol. Astropart. Phys. 11 (2025) 062.
- N. Aghanim, Y. Akrami et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020).
- L. Breuval, A. G. Riess, S. Casertano, W. Yuan, L. M. Macri, M. Romaniello, Y. S. Murakami, D. Scolnic, G. S. Anand, and I. Soszyński, Small Magellanic Cloud Cepheids observed with the Hubble Space Telescope provide a new anchor for the SH0ES Distance Ladder, Astrophys. J. 973, 30 (2024).
- M. Abdul-Karim, J. Aguilar et al. (DESI Collaboration), DESI DR2 results II: Measurements of baryon acoustic oscillations and cosmological constraints, Phys. Rev. D 112, 083515 (2025).
- E. G. M. Ferreira, E. McDonough, L. Balkenhol, R. Kallosh, L. Knox, and A. Linde, The BAO-CMB tension and implications for inflation, Phys. Rev. D 113, 043524 (2026).
- M. Abitbol, I. Abril-Cabezas, S. Adachi et al., The Simons Observatory: Science goals and forecasts for the enhanced Large Aperture Telescope, J. Cosmol. Astropart. Phys. 08 (2025) 034.
- B. A. Benson, P. A. R. Ade, Z. Ahmed et al., SPT-3G: A next-generation cosmic microwave background polarization experiment on the South Pole Telescope, in Proceedings of the SPIE 9153, Millimeter, Submillimeter, and Far-Infrared Detectors and Instrumentation for Astronomy VII (2014), Vol. 9153, p. 91531P, 10.1117/12.2057305.
- J. A. Sobrin, A. J. Anderson, A. N. Bender et al., The design and integrated performance of SPT-3G, Astrophys. J. Suppl. Ser. 258, 42 (2022).
- K. Prabhu, S. Raghunathan, M. Millea et al., Testing the cosmological model with forthcoming measurements of the cosmic microwave background with SPT-3G, Astrophys. J., 973, 4 (2024).
- P. A. R. Ade et al. (BICEP/Keck Collaboration), The latest constraints on inflationary B-modes from the BICEP/Keck Telescopes, arXiv:2203.16556.
- A. R. Khalife, M. B. Zanjani, S. Galli, S. Günther, J. Lesgourgues, and K. Benabed, Review of Hubble tension solutions with new SH0ES and SPT-3G data, J. Cosmol. Astropart. Phys. 04 (2024) 059.
- J. E. Carlstrom, P. A. R. Ade, K. A. Aird et al., The 10 Meter South Pole Telescope, Publ. Astron. Soc. Pac. 123, 568 (2011).
- J. A. Zebrowski, C. L. Reichardt, A. J. Anderson et al., Constraints on inflationary gravitational waves with two years of SPT-3G data, Phys. Rev. D 112, 123520 (2025).
- K. M. Górski, E. Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, and M. Bartelmann, healpix: A framework for high-resolution discretization and fast analysis of data distributed on the sphere, Astrophys. J. 622, 759 (2005).
- N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A. J. Banday, R. B. Barreiro, J. G. Bartlett, N. Bartolo et al. (Planck Collaboration). Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters, Astron. Astrophys. 594, A11 (2016).
- Y. Akrami, M. Ashdown et al. (Planck Collaboration), Planck 2018 results. IV. Diffuse component separation, Astron. Astrophys. 641, A4 (2020).
- P. A. R. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A. J. Banday, R. B.Barreiro, J. G. Bartlett et al. (Planck Collaboration), Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594, A13 (2016).
- J. Bradbury, R. Frostig, P. Hawkins, M. J. Johnson, C. Leary, D. Maclaurin, G. Necula, A. Paszke, J. VanderPlas, S. Wanderman-Milne, and Q. Zhang, jax: Composable transformations of programs, 0.3.13 (2018), http://github.com/jax-ml/jax.
- L. Balkenhol, C. Trendafilova, K. Benabed, and S. Galli, candl: Cosmic microwave background analysis with a differentiable likelihood, Astron. Astrophys. 686, A10 (2024).
- A. Spurio Mancini, D. Piras, J. Alsing, B. Joachimi, and M. P. Hobson, cosmopower: Emulating cosmological power spectra for accelerated Bayesian inference from next-generation surveys, Mon. Not. R. Astron. Soc. 511, 1771 (2022).
- D. Piras and A. Spurio Mancini, cosmopower-jax: High-dimensional Bayesian inference with differentiable cosmological emulators, Open J. Astrophys. 6, 20 (2023).
- L. Balkenhol, D. Dutcher, A. Spurio Mancini et al., Measurement of the CMB temperature power spectrum and constraints on cosmology from the SPT-3G 2018 T T, T E, and E E dataset, Phys. Rev. D 108, 023510 (2023).
- J. Lesgourgues, The Cosmic Linear Anisotropy Solving System (CLASS) I: Overview, arXiv:1104.2932.
- A. Lewis and A. Challinor, camb: Code for Anisotropies in the Microwave Background, Astrophysics Source Code Library, record ascl:1102.026 (2011). http://ascl.net/1102.026.
- E. Camphuis, K. Benabed, S. Galli, E. Hivon, and M. Lilley, Accurate cosmic microwave background covariance matrices: Exact calculation and approximations, Astron. Astrophys. 668, A62 (2022).
- G. Efstathiou, Myths and truths concerning estimation of power spectra: The case for a hybrid estimator, Mon. Not. R. Astron. Soc. 349, 603 (2004).
- C. García-García, D. Alonso, and E. Bellini, Disconnected covariances for projected large-scale structure data, J. Cosmol. Astropart. Phys. 11 (2019) 043.
- E. Hivon, K. M. Górski, C. B. Netterfield, B. P. Crill, S. Prunet, and F. Hansen, MASTER of the cosmic microwave background anisotropy power spectrum: A fast method for statistical analysis of large and complex cosmic microwave background data sets, Astrophys. J. 567, 2 (2002).
- G. Chon, A. Challinor, S. Prunet, E. Hivon, and I. Szapudi, Fast estimation of polarization power spectra using correlation functions, Mon. Not. R. Astron. Soc. 350, 914 (2004).
- Y. Omori, AGORA: Multicomponent simulation for cross-survey science, Mon. Not. R. Astron. Soc. 530, 5030 (2024).
- D. Dutcher, L. Balkenhol, P. A. R. Ade et al., Measurements of the E -mode polarization and temperature-E -mode correlation of the CMB from SPT-3G 2018 data, Phys. Rev. D 104, 022003 (2021).
- A. Manzotti, W. Hu, and A. Benoit-Lévy, Super-sample CMB lensing, Phys. Rev. D 90, 023003 (2014).
- N. Aghanim, Y. Akrami et al. (Planck Collaboration), Planck 2018 results. V. CMB power spectra and likelihoods, Astron. Astrophys. 641, A5 (2020).
- A. Lewis, getdist: A python package for analysing Monte Carlo samples, J. Cosmol. Astropart. Phys. 08 (2025) 025.
- J. Torrado and A. Lewis, cobaya: Code for Bayesian analysis of hierarchical physical models, J. Cosmol. Astropart. Phys. 05 (2021) 057.
- A. Gelman and D. B. Rubin, Inference from iterative simulation using multiple sequences, Stat. Sci. 7, 457 (1992).
- J.-P. Uzan, Varying constants, gravitation and cosmology, Living Rev. Relativity 14, 2 (2011).
- T. Sekiguchi and T. Takahashi, Early recombination as a solution to the tension, Phys. Rev. D 103, 083507 (2021).
- T. Karwal and M. Kamionkowski, Dark energy at early times, the Hubble parameter, and the string axiverse, Phys. Rev. D 94, 103523 (2016).
- M. Millea and U. Seljak, Marginal unbiased score expansion and application to CMB lensing, Phys. Rev. D 105, 103531 (2022).
- A. R. Khalife, L. Balkenhol, E. Camphuis et al., SPT-3G D1: Axion early dark energy with CMB experiments and DESI, Phys. Rev. D 113, 103546 (2026).
- R. Takahashi, M. Sato, T. Nishimichi, A. Taruya, and M. Oguri, Revising the halofit model for the nonlinear matter power spectrum, Astrophys. J. 761, 152 (2012).
- A. J. Mead, J. A. Peacock, C. Heymans, S. Joudaki, and A. F. Heavens, An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models, Mon. Not. R. Astron. Soc. 454, 1958 (2015).
- V. Poulin, T. L. Smith, T. Karwal, and M. Kamionkowski, Early dark energy can resolve the Hubble tension, Phys. Rev. Lett. 122, 221301 (2019).
- T. L. Smith, M. Lucca, V. Poulin, G. F. Abellan, L. Balkenhol, K. Benabed, S. Galli, and R. Murgia, Hints of early dark energy in Planck, SPT, and ACT data: New physics or systematics?, Phys. Rev. D 106, 043526 (2022).
- E. McDonough and M. Scalisi, Towards early dark energy in string theory, J. High Energy Phys. 10 (2023) 118.
- M. Cicoli, M. Licheri, R. Mahanta, E. McDonough, F. G. Pedro, and M. Scalisi, Early dark energy in type IIB string theory, J. High Energy Phys. 06 (2023) 052.
- T. L. Smith, V. Poulin, and M. A. Amin, Oscillating scalar fields and the Hubble tension: A resolution with novel signatures, Phys. Rev. D 101, 063523 (2020).
- V. Poulin, T. L. Smith, D. Grin, T. Karwal, and M. Kamionkowski, Cosmological implications of ultralight axionlike fields, Phys. Rev. D 98, 083525 (2018).
- C. L. Reichardt, S. Patil, P. A. R. Ade et al., An improved measurement of the secondary cosmic microwave background anisotropies from the surveys, Astrophys. J. 908, 199 (2021).
- S. Raghunathan, P. A. R. Ade, A. J. Anderson et al., First constraints on the epoch of reionization using the non-Gaussianity of the kinematic Sunyaev-Zel’dovich effect from the South Pole Telescope and Herschel-SPIRE Observations, Phys. Rev. Lett., 133, 121004 (2024).
- S. Bocquet, S. Grandis, E. Krause et al., Multiprobe cosmology from the abundance of SPT clusters and DES galaxy clustering and weak lensing, Phys. Rev. D 111, 063533 (2025).
- F. Beutler, C. Blake, M. Colless, D. H. Jones, L. Staveley-Smith, L. Campbell, Q. Parker, W. Saunders, and F. Watson, The 6dF galaxy survey: Baryon acoustic oscillations and the local Hubble constant, Mon. Not. R. Astron. Soc. 416, 3017 (2011).
- A. J. Ross, L. Samushia, C. Howlett, W. J. Percival, A. Burden, and M. Manera, The clustering of the SDSS DR7 main galaxy sample—I. A 4 per cent distance measure at , Mon. Not. R. Astron. Soc. 449, 835 (2015).
- S. Alam, M. Ata, S. Bailey et al., The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological analysis of the DR12 galaxy sample, Mon. Not. R. Astron. Soc. 470, 2617 (2017).
- S. Alam, M. Aubert, S. Avila et al., Completed SDSS-IV extended baryon oscillation spectroscopic survey: Cosmological implications from two decades of spectroscopic surveys at the Apache Point Observatory, Phys. Rev. D 103, 083533 (2021).
- A. G. Adame, J. Aguilar, S. Ahlen et al., DESI 2024 VI: Cosmological constraints from the measurements of baryon acoustic oscillations, J. Cosmol. Astropart. Phys. 02 (2025) 021.
- D. M. Scolnic, D. O. Jones, A. Rest et al., The complete light-curve sample of spectroscopically confirmed SNe Ia from Pan-STARRS1 and cosmological constraints from the combined Pantheon sample, Astrophys. J. 859, 101 (2018).
- D. Brout, D. Scolnic, B. Popovic et al., The : Cosmological constraints, Astrophys. J. 938, 110 (2022).
- S. van der Walt, S. C. Colbert, and G. Varoquaux, The numpy Array: A structure for efficient numerical computation, Comput. Sci. Eng. 13, 22 (2011).
- J. D. Hunter, matplotlib: A 2D graphics environment, Comput. Sci. Eng. 9, 90 (2007).
- https://github.com/SouthPoleTelescope/spt_candl_forecasts.
- A. Zonca, L. Singer, D. Lenz, M. Reinecke, C. Rosset, E. Hivon, and K. Gorski, healpy: Equal area pixelization and spherical harmonics transforms for data on the sphere in python, J. Open Source Softwaare 4, 1298 (2019).