Testing the Anton-Schmidt dark energy model with the DESI DR2 measurements

Abstract

We present a comparative cosmological analysis of the Anton-Schmidt, $\Lambda$CDM, and CPL models using baryon acoustic oscillation measurements from the Dark Energy Spectroscopic Instrument Data Release 2, combined with the Planck PR4 (NPIPE) CamSpec Cosmic Microwave Background likelihoods and three Type Ia supernova catalogues: Pantheon$+$, DES-Dovekie, and Union3. We use Markov Chain Monte Carlo analyses to constrain the parameters of the Anton-Schmidt model against each dataset combination. We find that the Anton-Schmidt model provides a good fit to current cosmological observations. The Anton-Schmidt model provides a good fit to the current cosmological observations but does not provide a significant alleviation of either the $H_0$ or the $S_8$ tensions. The Anton-Schmidt parameter is tightly constrained to $B\simeq -0.38$, indicating that the logarithmic correction becomes relevant only at late times. The Anton-Schmidt and CPL models predict quintessence-like present-day dark-energy equations of state and shows Quintom-B evolution, with their dark-energy equation-of-state parameters crossing the phantom divide at approximately $z\approx 0.5$. The characteristic density scale is constrained to be ${\rho }_{\ast }/{\rho }_{c,0}\sim 4\text{–}5$, substantially smaller than the large density scales typically assumed in logotropic-inspired scenarios, indicating that the Anton-Schmidt correction mainly affects the late-time expansion history. Finally, Bayesian evidence shows moderate-to-strong preference for the Anton-Schmidt model over the $\Lambda$CDM model and strong-to-decisive preference over the CPL parametrization. Although the Anton-Schmidt model does not alleviate the current cosmological tensions, it emerges as a statistically favored dynamical dark-energy scenario whose cosmological implications deserve further tested with forthcoming Stage-IV large-scale structure observations.

17 pages, 6 figures. Accepted for publication in Physical Review D

References in corpus (24)

• Dynamics of dark energy
• 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
• The Pantheon+ Analysis: Cosmological Constraints
• Bayes in the sky: Bayesian inference and model selection in cosmology
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Challenges for $\Lambda$CDM: An update
• KiDS-1000 Cosmology: Cosmic shear constraints and comparison between two point statistics
• The trouble with $H_0$
• Cobaya: Code for Bayesian Analysis of hierarchical physical models
• DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints
• CfA3: 185 Type Ia Supernova Light Curves from the CfA
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• The Atacama Cosmology Telescope: DR6 Gravitational Lensing Map and Cosmological Parameters
• The Atacama Cosmology Telescope: A Measurement of the DR6 CMB Lensing Power Spectrum and its Implications for Structure Growth
• To H0 or not to H0?
• CMB power spectra and cosmological parameters from Planck PR4 with CamSpec
• Why reducing the cosmic sound horizon alone can not fully resolve the Hubble tension
• Interacting Dark Energy after DESI Baryon Acoustic Oscillation measurements
• Nonparametric late-time expansion history reconstruction and implications for the Hubble tension in light of recent DESI and type Ia supernovae data
• Generalized Emergent Dark Energy Model and the Hubble Constant Tension
• The Dark Energy Survey Supernova Program: A Reanalysis Of Cosmology Results And Evidence For Evolving Dark Energy With An Updated Type Ia Supernova Calibration
• BAO miscalibration cannot rescue late-time solutions to the Hubble tension
• Planck ISW-lensing likelihood and the CMB temperature