- Open Access
Constraints on ultralight axions from the DESI DR1 full shape, , and ACT datasets
Phys. Rev. D 114, 083506 – Published 5 October, 2026
DOI: https://doi.org/10.1103/pcl1-6qc1
Abstract
We present updated bounds on ultralight axions (ULAs) as a subcomponent of dark matter, derived from the full-shape analysis of the Dark Energy Spectroscopic Instrument (DESI) Data Release 1 galaxy power spectra combined with cosmic microwave background (CMB) data from the Atacama Cosmology Telescope and . We focus on the mass window , employing state-of-the-art analysis methods rooted in the Effective Field Theory of Large Scale Structure. For the smallest masses, our joint analysis with DESI improves over CMB-only constraints by more than a factor of 2, establishing the most stringent limits to date. For instance, for ULAs are constrained to be a fraction as small as 0.3% of the total matter energy density. The DESI Luminous Red Galaxy sample shows a mild preference for an ULA subcomponent with , mirroring previous hints from the Baryon Oscillation Spectroscopic Survey, but this preference vanishes upon combination with CMB data. Probing the largest masses, , in future studies will benefit from extending the data analysis to smaller scales, both for galaxy clustering and CMB lensing, but will also require concurrent improvements in the theoretical modeling.
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References (86)
- D. Baumann, A. Nicolis, L. Senatore, and M. Zaldarriaga, Cosmological non-linearities as an effective fluid, J. Cosmol. Astropart. Phys. 07 (2010) 051.
- J. J. M. Carrasco, M. P. Hertzberg, and L. Senatore, The effective field theory of cosmological large scale structures, J. High Energy Phys. 09 (2012) 082.
- R. D. Peccei and H. R. Quinn, conservation in the presence of instantons, Phys. Rev. Lett. 38, 1440 (1977).
- S. Weinberg, A new light boson?, Phys. Rev. Lett. 40, 223 (1978).
- F. Wilczek, Problem of strong and invariance in the presence of instantons, Phys. Rev. Lett. 40, 279 (1978).
- P. Svrcek and E. Witten, Axions in string theory, J. High Energy Phys. 06 (2006) 051.
- A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper, and J. March-Russell, String axiverse, Phys. Rev. D 81, 123530 (2010).
- E. Sheridan et al., Fuzzy axions and associated relics, J. High Energy Phys. 09 (2025) 016.
- M. Jain, E. Sheridan, D. J. E. Marsh, E. Heyes, K. K. Rogers, and A. Schachner, Bayesian inference on Calabi-Yau moduli spaces and the axiverse: Experimental data meets string theory, Phys. Rev. D 114, 026026 (2026).
- J. Preskill, M. B. Wise, and F. Wilczek, Cosmology of the invisible axion, Phys. Lett. 120B, 127 (1983).
- L. F. Abbott and P. Sikivie, A cosmological bound on the invisible axion, Phys. Lett. 120B, 133 (1983).
- M. Dine and W. Fischler, The not so harmless axion, Phys. Lett. 120B, 137 (1983).
- W. Hu, R. Barkana, and A. Gruzinov, Cold and fuzzy dark matter, Phys. Rev. Lett. 85, 1158 (2000).
- L. Amendola and R. Barbieri, Dark matter from an ultra-light pseudo-Goldstone-boson, Phys. Lett. B 642, 192 (2006).
- D. J. E. Marsh and P. G. Ferreira, Ultra-light scalar fields and the growth of structure in the universe, Phys. Rev. D 82, 103528 (2010).
- R. Hlozek, D. Grin, D. J. E. Marsh, and P. G. Ferreira, A search for ultralight axions using precision cosmological data, Phys. Rev. D 91, 103512 (2015).
- A. G. Adame et al. (DESI Collaboration), The early data release of the dark energy spectroscopic instrument, Astron. J. 168, 58 (2024).
- A. G. Adame et al. (DESI Collaboration), DESI 2024 II: Sample definitions, characteristics, and two-point clustering statistics, J. Cosmol. Astropart. Phys. 07 (2025) 017.
- M. Abdul Karim et al. (DESI Collaboration), Data release 1 of the dark energy spectroscopic instrument, Astron. J. 171, 285 (2026).
- F. J. Qu et al. (ACT Collaboration), The Atacama Cosmology Telescope: A measurement of the DR6 CMB lensing power spectrum and its implications for structure growth, Astrophys. J. 962, 112 (2024).
- M. S. Madhavacheril et al. (ACT Collaboration), The Atacama Cosmology Telescope: DR6 gravitational lensing map and cosmological parameters, Astrophys. J. 962, 113 (2024).
- T. Louis et al. (Atacama Cosmology Telescope Collaboration), The Atacama Cosmology Telescope: DR6 power spectra, likelihoods and parameters, J. Cosmol. Astropart. Phys. 11 (2025) 062.
- E. Calabrese et al. (Atacama Cosmology Telescope Collaboration), The Atacama Cosmology Telescope: DR6 constraints on extended cosmological models, J. Cosmol. Astropart. Phys. 11 (2025) 063.
- S. Alam et al. (eBOSS Collaboration), 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).
- F. Verdiani, E. Castorina, E. Salvioni, and E. Sefusatti, The effective field theory of large scale structure for mixed dark matter scenarios, J. Cosmol. Astropart. Phys. 01 (2025) 047.
- A. Laguë, J. R. Bond, R. Hložek, K. K. Rogers, D. J. E. Marsh, and D. Grin, Constraining ultralight axions with galaxy surveys, J. Cosmol. Astropart. Phys. 01 (2021) 049.
- K. K. Rogers, R. Hložek, A. Laguë, M. M. Ivanov, O. H. E. Philcox, G. Cabass, K. Akitsu, and D. J. E. Marsh, Ultra-light axions and the tension: Joint constraints from the cosmic microwave background and galaxy clustering, J. Cosmol. Astropart. Phys. 06 (2023) 023.
- A. G. Adame et al. (DESI Collaboration), DESI 2024 VII: Cosmological constraints from the full-shape modeling of clustering measurements, J. Cosmol. Astropart. Phys. 07 (2025) 028.
- 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.
- A. Chudaykin, M. M. Ivanov, and O. H. E. Philcox, Reanalyzing DESI DR1. 1. constraints from the power spectrum and bispectrum, Phys. Rev. D 113, 063502 (2026).
- A. Chudaykin, M. M. Ivanov, and O. H. E. Philcox, Reanalyzing DESI DR1. 2. Constraints on dark energy, spatial curvature, and neutrino masses, Phys. Rev. D 113, 123506 (2026).
- A. Chudaykin, M. M. Ivanov, and O. H. E. Philcox, Reanalyzing DESI DR1. 3. Constraints on inflation from galaxy power spectra and bispectra, Phys. Rev. D 113, 063552 (2026).
- N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); (Planck Collaboration)Astron. Astrophys.652, C4(E) (2021).
- N. Aghanim et al. (Planck Collaboration), Planck 2018 results. V. CMB power spectra and likelihoods, Astron. Astrophys. 641, A5 (2020).
- J. Carron, M. Mirmelstein, and A. Lewis, CMB lensing from Planck PR4 maps, J. Cosmol. Astropart. Phys. 09 (2022) 039.
- V. Poulin, T. L. Smith, D. Grin, T. Karwal, and M. Kamionkowski, Cosmological implications of ultralight axionlike fields, Phys. Rev. D 98, 083525 (2018).
- 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).
- L. A. Ureña-López and A. X. Gonzalez-Morales, Towards accurate cosmological predictions for rapidly oscillating scalar fields as dark matter, J. Cosmol. Astropart. Phys. 07 (2015) 048.
- T. Cookmeyer, D. Grin, and T. L. Smith, How sound are our ultralight axion approximations?, Phys. Rev. D 101, 023501 (2020).
- S. Passaglia and W. Hu, Accurate effective fluid approximation for ultralight axions, Phys. Rev. D 105, 123529 (2022).
- M. A. Amin and M. S. Delos, Growth of structure in multi-species wave dark matter, J. Cosmol. Astropart. Phys. 05 (2025) 071.
- N. MacCrann et al. (ACT Collaboration), The atacama cosmology telescope: Mitigating the impact of extragalactic foregrounds for the DR6 cosmic microwave background lensing analysis, Astrophys. J. 966, 138 (2024).
- N. Hand, Y. Li, Z. Slepian, and U. Seljak, An optimal FFT-based anisotropic power spectrum estimator, J. Cosmol. Astropart. Phys. 07 (2017) 002.
- M. Pinon et al., Mitigation of DESI fiber assignment incompleteness effect on two-point clustering with small angular scale truncated estimators, J. Cosmol. Astropart. Phys. 01 (2024) 131.
- A. G. Adame et al. (DESI Collaboration), DESI 2024 V: Full-Shape galaxy clustering from galaxies and quasars, J. Cosmol. Astropart. Phys. 09 (2025) 008; (DESI Collaboration)J. Cosmol. Astropart. Phys.02 (2026) E02.
- F. Beutler, E. Castorina, and P. Zhang, Interpreting measurements of the anisotropic galaxy power spectrum, J. Cosmol. Astropart. Phys. 03 (2018) 040.
- R. Hlozek, D. J. E. Marsh, and D. Grin, Using the full power of the cosmic microwave background to probe axion dark matter, Mon. Not. R. Astron. Soc. 476, 3063 (2018).
- R. Hložek, D. J. E. Marsh, D. Grin, R. Allison, J. Dunkley, and E. Calabrese, Future CMB tests of dark matter: Ultralight axions and massive neutrinos, Phys. Rev. D 95, 123511 (2017).
- L. Gaughan, A. M. Green, and A. Moss, Ultra-light axion constraints from Planck and ACT: The role of nonlinear modelling, arXiv:2605.12054.
- A. Laguë et al., The atacama cosmology telescope: Probing new signatures of ultralight axions with gravitational lensing, arXiv:2606.06410.
- A. Mead, S. Brieden, T. Tröster, and C. Heymans, HMcode-2020: Improved modelling of non-linear cosmological power spectra with baryonic feedback, Mon. Not. R. Astron. Soc. 502, 1401 (2021).
- S. M. L. Vogt, D. J. E. Marsh, and A. Laguë, Improved mixed dark matter halo model for ultralight axions, Phys. Rev. D 107, 063526 (2023).
- T. Dome, S. May, A. Laguë, D. J. E. Marsh, S. Johnston, S. Bose, A. Tocher, and A. Fialkov, Improved halo model calibrations for mixed dark matter models of ultralight axions, Mon. Not. R. Astron. Soc. 537, 252 (2025).
- S. Foreman and L. Senatore, The EFT of large scale structures at all redshifts: Analytical predictions for lensing, J. Cosmol. Astropart. Phys. 04 (2015) 033.
- O. H. E. Philcox, D. N. Spergel, and F. Villaescusa-Navarro, Effective halo model: Creating a physical and accurate model of the matter power spectrum and cluster counts, Phys. Rev. D 101, 123520 (2020).
- D. P. L. Bragança, M. Lewandowski, D. Sekera, L. Senatore, and R. Sgier, Baryonic effects in the effective field theory of large-scale structure and an analytic recipe for lensing in CMB-S4, J. Cosmol. Astropart. Phys. 10 (2020) 074.
- S.-F. Chen, M. M. Ivanov, O. H. E. Philcox, and L. Wenzl, Suppression without Thawing: Constraining structure formation and dark energy with galaxy clustering, Phys. Rev. Lett. 133, 231001 (2024).
- M. M. Ivanov, J. M. Sullivan, S.-F. Chen, A. Chudaykin, M. Maus, and O. H. E. Philcox, Reanalyzing DESI DR1: 4. Percent-Level cosmological constraints from combined probes and robust evidence for the normal neutrino mass hierarchy, arXiv:2601.16165.
- M. Garny and P. Taule, Loop corrections to the power spectrum for massive neutrino cosmologies with full time- and scale-dependence, J. Cosmol. Astropart. Phys. 01 (2020) 020.
- A. Aviles, A. Banerjee, G. Niz, and Z. Slepian, Clustering in massive neutrino cosmologies via eulerian perturbation theory, J. Cosmol. Astropart. Phys. 11 (2021) 028.
- H. E. Noriega, A. Aviles, S. Fromenteau, and M. Vargas-Magaña, Fast computation of non-linear power spectrum in cosmologies with massive neutrinos, J. Cosmol. Astropart. Phys. 11 (2022) 038.
- C. Fidler, J. Lesgourgues, A. Mattes, A. Moradinezhad Dizgah, and S. Neuland, Effective field theory of large scale structure and Newtonian motion gauges, arXiv:2605.05114.
- Ş. Çelik and F. Schmidt, Mixed dark matter and galaxy clustering: The importance of relative perturbations, arXiv:2508.21481.
- F. Schmidt, Effect of relative velocity and density perturbations between baryons and dark matter on the clustering of galaxies, Phys. Rev. D 94, 063508 (2016).
- S.-F. Chen, E. Castorina, and M. White, Biased tracers of two fluids in the Lagrangian picture, J. Cosmol. Astropart. Phys. 06 (2019) 006.
- S. Bottaro, E. Castorina, M. Costa, D. Redigolo, and E. Salvioni, Unveiling dark forces with measurements of the large scale structure of the universe, Phys. Rev. Lett. 132, 201002 (2024).
- P. W. Graham, D. Green, and J. Meyers, New interpretations of the cosmological preference for a negative neutrino mass, Phys. Rev. D 113, 043514 (2026).
- M. M. Ivanov, O. H. E. Philcox, M. Simonović, M. Zaldarriaga, T. Nischimichi, and M. Takada, Cosmological constraints without nonlinear redshift-space distortions, Phys. Rev. D 105, 043531 (2022).
- G. D’Amico, L. Senatore, P. Zhang, and T. Nishimichi, Taming redshift-space distortion effects in the EFTofLSS and its application to data, J. Cosmol. Astropart. Phys. 01 (2021) 037.
- E. Castorina, C. Carbone, J. Bel, E. Sefusatti, and K. Dolag, DEMNUni: The clustering of large-scale structures in the presence of massive neutrinos, J. Cosmol. Astropart. Phys. 07 (2015) 043.
- F. Villaescusa-Navarro, A. Banerjee, N. Dalal, E. Castorina, R. Scoccimarro, R. Angulo, and D. N. Spergel, The imprint of neutrinos on clustering in redshift-space, Astrophys. J. 861, 53 (2018).
- F. Verdiani, E. Bellini, C. Moretti, E. Sefusatti, C. Carbone, and M. Viel, Redshift-space distortions in massive neutrinos cosmologies, Phys. Rev. D 112, 043545 (2025).
- T. Kobayashi, R. Murgia, A. De Simone, V. Iršič, and M. Viel, Lyman- constraints on ultralight scalar dark matter: Implications for the early and late universe, Phys. Rev. D 96, 123514 (2017).
- O. Garcia-Gallego, V. Iršič, M. G. Haehnelt, M. Viel, and J. S. Bolton, Constraining mixed dark matter models with high-redshift Lyman-Alpha Forest data, Phys. Rev. D 112, 043502 (2025).
- K. K. Rogers and H. V. Peiris, Strong bound on canonical ultralight axion dark matter from the Lyman-Alpha forest, Phys. Rev. Lett. 126, 071302 (2021).
- V. Iršič, M. Viel, M. G. Haehnelt, J. S. Bolton, and G. D. Becker, First constraints on fuzzy dark matter from Lyman- Forest data and hydrodynamical simulations, Phys. Rev. Lett. 119, 031302 (2017).
- M. Nori, R. Murgia, V. Iršič, M. Baldi, and M. Viel, Lyman forest and non-linear structure characterization in Fuzzy dark matter cosmologies, Mon. Not. R. Astron. Soc. 482, 3227 (2019).
- V. Iršič, H. Xiao, and M. McQuinn, Early structure formation constraints on the ultralight axion in the postinflation scenario, Phys. Rev. D 101, 123518 (2020).
- H. Winch, K. K. Rogers, R. Hložek, and D. J. E. Marsh, High-redshift, Small-scale tests of ultralight axion dark matter using Hubble and Webb Galaxy UV luminosities, Astrophys. J. 976, 40 (2024).
- J. Sipple, A. Lidz, D. Grin, and G. Sun, Fuzzy dark matter constraints from the Hubble frontier fields, Mon. Not. R. Astron. Soc. 538, 1830 (2025).
- https://www.desi.lbl.gov/collaborating-institutions/.
- M. Lewandowski, L. Senatore, F. Prada, C. Zhao, and C.-H. Chuang, EFT of large scale structures in redshift space, Phys. Rev. D 97, 063526 (2018).
- C.-H. Chuang, F.-S. Kitaura, F. Prada, C. Zhao, and G. Yepes, EZmocks: Extending the Zel’dovich approximation to generate Mock galaxy catalogues with accurate clustering statistics, Mon. Not. R. Astron. Soc. 446, 2621 (2015).
- C. Moretti, M. Tsedrik, P. Carrilho, and A. Pourtsidou, Modified gravity and massive neutrinos: Constraints from the full shape analysis of BOSS galaxies and forecasts for stage IV surveys, J. Cosmol. Astropart. Phys. 12 (2023) 025.
- J. Torrado and A. Lewis, cobaya: Code for Bayesian analysis of hierarchical physical models, J. Cosmol. Astropart. Phys. 05 (2020) 057.
- J. U. Lange, Nautilus: Boosting Bayesian importance nested sampling with deep learning, Mon. Not. R. Astron. Soc. 525, 3181 (2023).