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Early Universe constraints on variations in fundamental constants induced by ultralight scalar dark matter

Subhajit Ghosh1, Kimberly K. Boddy1, and Tien-Tien Yu2

  • 1Texas Center for Cosmology and Astroparticle Physics, Weinberg Institute, Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA
  • 2Institute for Fundamental Science and Department of Physics, University of Oregon, Eugene, Oregon 97403, USA

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Phys. Rev. D 114, 023525 – Published 9 July, 2026

DOI: https://doi.org/10.1103/pbgn-1mts

Abstract

We study the cosmological impact of ultralight dark matter (ULDM) with a quadratic coupling to Standard Model particles. In addition to the suppression of small-scale power from ULDM itself, the coupling induces a variation of fundamental constants that is modulated by the ULDM oscillatory field value. In this work, we consider the ULDM-induced, time-dependent variation of the fine structure constant and the mass of the electron. These variations modify the predicted abundance of light elements during big bang nucleosynthesis (BBN) and the process of recombination, thereby affecting the anisotropies of the cosmic microwave background (CMB). We use CMB anisotropy data and baryon acoustic oscillation measurements to obtain constraints on the variation of couplings over a wide range of ULDM masses. We self-consistently account for the modification of the primordial helium abundance during BBN in computing the CMB power spectra. We find that the allowed ULDM fraction of total dark matter abundance is more constrained for ULDM masses ≲10−26  eV in the presence of the variations. Moreover, our constraints on the variational couplings for ULDM masses ≲10−27  eV are stronger than the ones derived from the primordial helium abundance at BBN. Under our ULDM model, the variation of fundamental constants has no appreciable impact on the Hubble constant inferred from CMB data.

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Phys. Rev. D 114, 023525– Published 9 July, 2026
  • Received 17 December 2025
  • Accepted 27 May 2026
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