Scalar field dark energy models: Current and forecast constraints

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 $w_{\varphi }$CDM. We provide a quasi-universal, quasi-one-parameter functional fit to the scalar-field $w_{\varphi }(z)$ that captures the behavior of these models more informatively than the standard $w_0{w}_a$ phenomenological parametrization; their behavior is completely described by the current value of the equation-of-state parameter, $w_0=w(z=0)$. Combining current data from BAO (DESI Data Release 2), the CMB (Planck and ACT), large-scale structure (DES Year-3 $3\times 2$pt), SNe Ia (DES-SN5YR), and strong lensing (TDCOSMO + SLACS), for $w_{\varphi }$CDM we obtain $w_0=-0.904_{-0.033}^{+0.034}$, 2.9$\sigma$ discrepant from the $\Lambda$ cold dark matter ($\Lambda$CDM) model. The Bayesian evidence ratio substantially favors this $w_{\varphi }$CDM model over $\Lambda$CDM. The data combination that yields the strongest discrepancy with $\Lambda$CDM is BAO+SNe Ia, for which $w_0=-0.837_{-0.045}^{+0.044}$, $3.6\sigma$ discrepant from $\Lambda$CDM and with a Bayesian evidence ratio strongly in favor. We find that the so-called $S_8$ 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 $w_{\varphi }$CDM model will be distinguishable from $\Lambda$CDM at over 9$\sigma$.

11 pages, 5 figures, 3 tables. Accepted by PRD

References in corpus (58)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Astropy: A Community Python Package for Astronomy
• emcee: The MCMC Hammer
• The Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package
• The Astropy Project: Sustaining and Growing a Community-oriented Open-source Project and the Latest Major Release (v5.0) of the Core Package
• Efficient Computation of CMB anisotropies in closed FRW models
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• Dark Energy and the Accelerating Universe
• Cosmological Tracking Solutions
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• The Pantheon+ Analysis: Cosmological Constraints
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• H0LiCOW XIII. A 2.4% measurement of $H_0$ from lensed quasars: $5.3\sigma$ tension between early and late-Universe probes
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• Planck 2018 results. V. CMB power spectra and likelihoods
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• The Sloan Lens ACS Survey. I. A Large Spectroscopically Selected Sample of Massive Early-Type Lens Galaxies
• CMB power spectrum parameter degeneracies in the era of precision cosmology
• Dissecting the Gravitational Lens B1608+656. II. Precision Measurements of the Hubble Constant, Spatial Curvature, and the Dark Energy Equation of State
• H0LiCOW - IX. Cosmographic analysis of the doubly imaged quasar SDSS 1206+4332 and a new measurement of the Hubble constant
• TDCOSMO IV: Hierarchical time-delay cosmography -- joint inference of the Hubble constant and galaxy density profiles
• The Atacama Cosmology Telescope: DR6 Gravitational Lensing Map and Cosmological Parameters
• HMcode-2020: Improved modelling of non-linear cosmological power spectra with baryonic feedback
• Lenstronomy: multi-purpose gravitational lens modelling software package
• CosmoSIS: modular cosmological parameter estimation
• The Atacama Cosmology Telescope: A Measurement of the DR6 CMB Lensing Power Spectrum and its Implications for Structure Growth
• PArthENoPE: Public Algorithm Evaluating the Nucleosynthesis of Primordial Elements
• CosmoLike - Cosmological Likelihood Analyses for Photometric Galaxy Surveys
• A SHARP view of H0LiCOW: $H_0$ from three time-delay gravitational lens systems with adaptive optics imaging
• STRIDES: a 3.9 per cent measurement of the Hubble constant from the strong lens system DES J0408-5354
• Cosmology from gravitational lens time delays and Planck data
• H0LiCOW IV. Lens mass model of HE 0435-1223 and blind measurement of its time-delay distance for cosmology
• The Dynamics of Quintessence, The Quintessence of Dynamics
• lenstronomy II: A gravitational lensing software ecosystem
• Improved Cosmological Constraints from Gravitational Lens Statistics
• FAST-PT: a novel algorithm to calculate convolution integrals in cosmological perturbation theory
• Assessing observational constraints on dark energy
• H0LiCOW XII. Lens mass model of WFI2033-4723 and blind measurement of its time-delay distance and $H_0$
• Hilltop Quintessence
• Slow-Roll Thawing Quintessence
• Assessing tension metrics with Dark Energy Survey and Planck data
• $H_0$ Tension, Swampland Conjectures and the Epoch of Fading Dark Matter
• Improving time-delay cosmography with spatially resolved kinematics
• Calibrating Dark Energy
• A measurement of the Hubble constant from angular diameter distances to two gravitational lenses
• Non-Gaussian estimates of tensions in cosmological parameters
• Time-delay cosmographic forecasts with strong lensing and JWST stellar kinematics
• Constraining the dark energy equation of state with double source plane strong lenses
• The Hubble constant from strongly lensed supernovae with standardizable magnifications
• Rethinking Lensing and Lambda
• Optimal parameterizations for observational constraints on thawing dark energy
• Cosmic microwave background and large-scale structure constraints on a simple quintessential inflation model
• Two-dimensional kinematics of SLACS lenses - IV. The complete VLT-VIMOS data set
• Testing Cosmology with Double Source Lensing
• Strong Lensing and $H_0$
• Constraints on dark energy from TDCOSMO & SLACS lenses

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