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Scalar-field dark energy models: Current and forecast constraints

Anowar J. Shajib1,2,3,*,† and Joshua A. Frieman1,2,4,‡

  • *Contact author: ajshajib@uchicago.edu
  • †NASA Einstein Fellow.
  • ‡Contact author: jfrieman@uchicago.edu
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Phys. Rev. D 112, 063508 – Published 8 September, 2025

DOI: https://doi.org/10.1103/kjpb-r698

Abstract

Recent results from type Ia supernovae (SNe Ia) and baryon acoustic oscillations (BAO), in combination with cosmic microwave background (CMB) measurements, have focused renewed attention on dark energy models with a time-varying equation-of-state parameter, w(z). In this paper, we describe the simplest, physically motivated models of evolving dark energy that are consistent with the recent data, a broad subclass of the so-called thawing scalar-field models that we dub wϕCDM. We provide a quasiuniversal, quasi-one-parameter functional fit to the scalar-field wϕ(z) that captures the behavior of these models more informatively than the standard w0wa phenomenological parametrization; their behavior is completely described by the current value of the equation-of-state parameter, w0=w(z=0). Combining current data from BAO (DESI data release 2), the CMB (Planck and ACT), large-scale structure (DES year-3 3×2pt), SNe Ia (DES-SN5YR), and strong lensing (TDCOSMO+SLACS), for wϕCDM, we obtain w0=−0.904−0.033+0.034, 2.9σ discrepant from the Λ cold dark matter (ΛCDM) model. The Bayesian evidence ratio substantially favors this wϕCDM model over ΛCDM. The data combination that yields the strongest discrepancy with ΛCDM is BAO+SNe Ia, for which w0=−0.837−0.045+0.044, 3.6σ discrepant from ΛCDM and with a Bayesian evidence ratio strongly in favor. We find that the so-called S8 tension between the CMB and large-scale structure is slightly reduced in these models, while the Hubble tension is slightly increased. We forecast constraints on these models from near-future surveys (DESI-extension and the Vera C. Rubin Observatory LSST), showing that the current best-fit wϕCDM model will be distinguishable from ΛCDM at over 9σ.

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Phys. Rev. D 112, 063508– Published 8 September, 2025
  • Received 10 February 2025
  • Accepted 28 July 2025
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