Shape of Dark Energy: Constraining Its Evolution with a General Parametrization

Abstract

We consider a general dark energy (DE) model parametrized by its equation-of-state (EoS), featuring three free parameters: $w_0$ (the present-day value of the DE EoS), $w_{\beta }$ (quantifying the dynamical nature of the DE EoS), and $\beta$ (governing various dynamical forms of the DE EoS). The key controlling parameter $\beta$ can recover several existing DE models in the literature, such as the Chevallier-Polarski-Linder (CPL) parametrization ($\beta =1$), the logarithmic parametrization (in the limit $\beta \to 0$), and the linear parametrization ($\beta =-1$), alongside generate a class of new DE parametrizations for other values of $\beta$. The resulting DE scenario is constrained using a suite of the latest cosmological probes, including Cosmic Microwave Background (CMB) temperature and polarization anisotropies from three different experiments (Planck 2018 and Atacama Cosmology Telescope combined with WMAP), CMB lensing, Baryon Acoustic Oscillations from DESI Year 2, and PantheonPlus from Type Ia supernovae. Our analyses reveal that stringent constraints on the DE parameters are obtained only when all cosmological probes are combined; otherwise, some parameters remain unconstrained. The present-day value of the DE EoS remains in the quintessence regime according to our results, and no significant evidence for a dynamical DE EoS is found. However, based on the $\Delta {\chi }^2$ and Bayesian evidence analyses, we observe a mild preference for the present three-parameter DE parametrization over the CPL parametrization when all cosmological probes are taken into account. Nonetheless, the Bayesian evidence difference remains below the threshold for statistical significance according to the revised Jeffreys scale, indicating that both models are effectively equally preferred by the data.

16 pages including references; 3 tables and 6 captioned figures; version published in Phys. Rev. D

References in corpus (163)

• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Exploring the Expansion History of the Universe
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Dark Energy and the Accelerating Universe
• A Model of Holographic Dark Energy
• f(T) teleparallel gravity and cosmology
• Curvature Quintessence
• The Pantheon+ Analysis: Cosmological Constraints
• Can the dark energy equation-of-state parameter w be less than -1?
• Tensions between the Early and the Late Universe
• Modified teleparallel gravity: inflation without inflaton
• Planck 2018 results. V. CMB power spectra and likelihoods
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• Challenges for $\Lambda$CDM: An update
• Dark Energy
• Cosmological Evolution of a Quintom Model of Dark Energy
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Can modified gravity explain accelerated cosmic expansion?
• Gauss-Bonnet dark energy
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Reconstructing Dark Energy
• Cobaya: Code for Bayesian Analysis of hierarchical physical models
• Cosmological Tests of Modified Gravity
• Holographic dark energy and cosmic coincidence
• The Cosmology of Generalized Modified Gravity Models
• Cosmology with tachyon field as dark energy
• A New Model of Agegraphic Dark Energy
• Cosmology Intertwined II: The Hubble Constant Tension
• DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints
• Teleparallel Gravity: From Theory to Cosmology
• CMB power spectrum parameter degeneracies in the era of precision cosmology
• Can the Chaplygin gas be a plausible model for dark energy?
• The Effective Field Theory of Dark Energy
• Dynamical dark energy in light of the latest observations
• Interacting Dark Matter and Dark Energy
• The $H_0$ Olympics: A fair ranking of proposed models
• Can the clustered dark matter and the smooth dark energy arise from the same scalar field ?
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Dark Energy: Vacuum Fluctuations, the Effective Phantom Phase, and Holography
• Comparison of the Legacy and Gold SnIa Dataset Constraints on Dark Energy Models
• Oscillating Quintom and the Recurrent Universe
• Construction of cosmologically viable f(G) gravity models
• Reconciling Planck with the local value of $H_0$ in extended parameter space
• Interacting dark energy in the early 2020s: a promising solution to the $H_0$ and cosmic shear tensions
• The Atacama Cosmology Telescope: DR6 Gravitational Lensing Map and Cosmological Parameters
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Hessence: A New View of Quintom Dark Energy
• Dark Energy or Modified Gravity? An Effective Field Theory Approach
• The Cosmology of Modified Gauss-Bonnet Gravity
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• The Atacama Cosmology Telescope: A Measurement of the DR6 CMB Lensing Power Spectrum and its Implications for Structure Growth
• Dark Energy and Viscous Cosmology
• Observational constraints on low redshift evolution of dark energy: How consistent are different observations?
• Phenomenological parameterization of quintessence
• A parametric model for dark energy
• Coupled dark energy: Towards a general description of the dynamics
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Non-local gravity and dark energy
• A Simple Phenomenological Emergent Dark Energy Model can Resolve the Hubble Tension
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Cosmological constraints on the dark energy equation of state and its evolution
• Dark Energy with Phantom Crossing and the $H_0$ tension
• Observational constraints on one-parameter dynamical dark-energy parametrizations and the $H_0$ tension
• Robust Preference for Dynamical Dark Energy in DESI BAO and SN Measurements
• Dark Energy in the Swampland
• Early modified gravity in light of the $H_0$ tension and LSS data
• Assessing observational constraints on dark energy
• Dark energy from the string axiverse
• Phantom dark energy from non-local infrared modifications of General Relativity
• Horava-Lifshitz Dark Energy
• Interpreting DESI's evidence for evolving dark energy
• Nonparametric late-time expansion history reconstruction and implications for the Hubble tension in light of recent DESI and type Ia supernovae data
• Cosmological constraints on interacting dark energy with redshift-space distortion after Planck data
• Probing the dynamics of dark energy with novel parametrizations
• Updated Cosmological Constraints in Extended Parameter Space with Planck PR4, DESI Baryon Acoustic Oscillations, and Supernovae: Dynamical Dark Energy, Neutrino Masses, Lensing Anomaly, and the Hubble Tension
• Quintessential interpretation of the evolving dark energy in light of DESI
• Viscous Ricci Dark Energy
• New observational constraints on $f(R)$ gravity from cosmic chronometers
• Constraints on Oscillating Quintom from Supernova, Microwave Background and Galaxy Clustering
• Using non-DESI data to confirm and strengthen the DESI 2024 spatially-flat $w_0{w}_a$CDM cosmological parameterization result
• The $\bar{\Lambda }CDM$ cosmology: from inflation to dark energy through running $\Lambda$
• Interpreting DESI 2024 BAO: late-time dynamical dark energy or a local effect?
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Probing the curvature and dark energy
• Hints of Nonminimally Coupled Gravity in DESI 2024 Baryon Acoustic Oscillation Measurements
• Reionization optical depth determination from Planck HFI data with ten percent accuracy
• Matching current observational constraints with nonminimally coupled dark energy
• Cosmological Applications of Pade Approximant
• Late-transition vs smooth $H(z)$ deformation models for the resolution of the Hubble crisis
• A generalized equation of state for dark energy
• An overview of what current data can (and cannot yet) say about evolving dark energy
• Reconciling $H_0$ tension in a six parameter space?
• A new diagnostic for the null test of dynamical dark energy in light of DESI 2024 and other BAO data
• A Class of Minimally Modified Gravity Theories
• Cosmology in Extended Parameter Space with DESI Data Release 2 Baryon Acoustic Oscillations: A 2$\sigma$+ Detection of Nonzero Neutrino Masses with an Update on Dynamical Dark Energy and Lensing Anomaly
• The state of the dark energy equation of state circa 2023
• Constraining a dark matter and dark energy interaction scenario with a dynamical equation of state
• Robustness of dark energy phenomenology across different parameterizations
• Omnipotent dark energy: A phenomenological answer to the Hubble tension
• Cosmic slowing down of acceleration for several dark energy parametrizations
• Observational Constraints on $f(T)$ gravity from varying fundamental constants
• Challenging $\Lambda$CDM: 5$\sigma$ Evidence for a Dynamical Dark Energy Late-Time Transition
• Evolution and Dynamics of a Matter creation model
• fgivenx: A Python package for functional posterior plotting
• Revealing the effects of curvature on the cosmological models
• Dynamical Dark Energy Beyond Planck? Constraints from multiple CMB probes, DESI BAO and Type-Ia Supernovae
• Observational Constraints on Oscillating Dark-Energy Parametrizations
• Generalized Emergent Dark Energy Model and the Hubble Constant Tension
• SN and BAO constraints on (new) polynomial dark energy parametrizations: current results and forecasts
• Modified Gravity Explains Dark Matter?
• A New Equation of State for Dark Energy Model
• A New Class of Parametrization for Dark Energy without Divergence
• Quintessence and phantoms in light of DESI 2025
• Latest astronomical constraints on some nonlinear parametric dark energy models
• Observational constraints of a new unified dark fluid and the $H_0$ tension
• Modified gravity for surveys
• A Bayesian comparison between $\Lambda$CDM and phenomenologically emergent dark energy models
• Composite Dark Energy and the Cosmological Tensions
• Revisiting the parametrization of Equation of State of Dark Energy via SNIa Data
• Pressure Parametrization of Dark Energy: First and Second-Order Constraints with Latest Cosmological Data
• Scalar field dark energy models: Current and forecast constraints
• Observational constraints on dark energy with a fast varying equation of state
• Phenomenological emergent dark energy in the light of DESI Data Release 1
• Principal reconstructed modes of dark energy and gravity
• Probing the time dependence of dark energy
• Dynamical dark energy confronted with multiple CMB missions
• Imprints of an extended Chevallier-Polarski-Linder parametrization on the large scale of our universe
• Smoothing the $H_0$ tension with a dynamical dark energy model
• Fourier-series expansion of the dark-energy equation of state
• Is the $w_0{w}_a$CDM cosmological parameterization evidence for dark energy dynamics partially caused by the excess smoothing of Planck CMB anisotropy data?
• Growth index and statefinder diagnostic of Oscillating Dark Energy
• Dark Energy as a Critical Phenomenon: a Resolution for Hubble Tension
• Barotropic fluid compatible parametrizations of dark energy
• A comprehensive numerical study on four categories of holographic dark energy models
• Observational Constraints on Dark Energy Models with $\Lambda$ as an Equilibrium Point
• Non-parametric dark energy reconstruction using the tomographic Alcock-Paczynski test
• Cosmological constraints on dark energy models using DESI BAO 2024
• A divergence-free parametrization for dynamical dark energy
• New late-time constraints on $f(R)$ gravity
• Testing an oscillatory behavior of dark energy
• New parametrization of the dark-energy equation of state with a single parameter
• Testing cosmic acceleration for $w(z)$ parameterizations using $f_{gas}$ measurements in galaxy clusters
• Oscillating dark energy in light of the latest observations and its impact on the Hubble tension
• Latest data constraint of some parameterized dark energy models
• An exponential equation of state of dark energy in the light of 2018 CMB Planck data
• A preference for dynamical phantom dark energy using one-parameter model with Planck, DESI DR1 BAO and SN data
• Nonparametric reconstructions of dynamical dark energy via flexknots
• A single parameterization for dark energy and modified gravity models
• Perfect Fluid Cosmological Universes: One equation of state and the most general solution
• Imprint of a Steep Equation of State in the growth of structure
• Structure Formation in Various Dynamical Dark Energy Scenarios

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• III. Interacting Dark Energy: Summary of Models, Pathologies, and Constraints
• II. Non-Linear Interacting Dark Energy: Analytical Solutions and Theoretical Pathologies
• I. Linear Interacting Dark Energy: Analytical Solutions and Theoretical Pathologies
• Dark Energy in the DESI Era: A Brief Review of Evidence, Beyond-$\Lambda$CDM Interpretations, and Tensions
• Modifying $\Lambda$CDM dynamics via out-of-equilibrium axions: reconciling SH0ES and DESI $H_0$ values
• Thermodynamic reconstruction in observationally constrained dynamical dark energy models
• Background-level reconstruction of scalar-field potentials from dark-energy histories and comparison with analytic potential families