Early Universe Constraints on Variations in Fundamental Constants Induced by Ultralight Scalar Dark Matter

TL;DR

This paper investigates how ultralight scalar dark matter can cause time-dependent variations in fundamental constants, affecting early universe processes and providing constraints from cosmological observations.

Contribution

It introduces a model linking ultralight dark matter to variations in fundamental constants and derives new constraints from CMB and BBN data, improving previous bounds for certain mass ranges.

Findings

Stronger constraints on ULDM fraction for masses below 10^{-26} eV.

More stringent limits on coupling variations for masses below 10^{-27} eV.

Variation of constants does not resolve the Hubble tension.

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 $\lesssim 10^{-26}~\mathrm{eV}$ in the presence of the variations. Moreover, our constraints on the variational couplings for ULDM masses $\lesssim 10^{-27}~\mathrm{eV}$ 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 and thus does not present a viable solution to the Hubble tension.