Fitting the Constitution SNIa Data with Redshift Binned Parameterization Method

Abstract

In this work, we explore the cosmological consequences of the recently released Constitution sample of 397 Type Ia supernovae (SNIa). By revisiting the Chevallier-Polarski-Linder (CPL) parameterization, we find that, for fitting the Constitution set alone, the behavior of dark energy (DE) significantly deviate from the cosmological constant $\Lambda$, where the equation of state (EOS) $w$ and the energy density ${\rho }_{\Lambda }$ of DE will rapidly decrease along with the increase of redshift $z$. Inspired by this clue, we separate the redshifts into different bins, and discuss the models of a constant $w$ or a constant ${\rho }_{\Lambda }$ in each bin, respectively. It is found that for fitting the Constitution set alone, $w$ and ${\rho }_{\Lambda }$ will also rapidly decrease along with the increase of $z$, which is consistent with the result of CPL model. Moreover, a step function model in which ${\rho }_{\Lambda }$ rapidly decreases at redshift $z\sim 0.331$ presents a significant improvement ($\Delta {\chi }^2=-4.361$) over the CPL parameterization, and performs better than other DE models. We also plot the error bars of DE density of this model, and find that this model deviates from the cosmological constant $\Lambda$ at 68.3% confidence level (CL); this may arise from some biasing systematic errors in the handling of SNIa data, or more interestingly from the nature of DE itself. In addition, for models with same number of redshift bins, a piecewise constant ${\rho }_{\Lambda }$ model always performs better than a piecewise constant $w$ model; this shows the advantage of using ${\rho }_{\Lambda }$, instead of $w$, to probe the variation of DE.

15 pages, 6 figures, 5 tables, to appear in PRD

References in corpus (54)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Cosmological Constant and Dark Energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Cosmology and the Fate of Dilatation Symmetry
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The Cosmological Constant
• An alternative to quintessence
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• A Model of Holographic Dark Energy
• k-Inflation
• Essentials of k-essence
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Kinetically Driven Quintessence
• Can the dark energy equation-of-state parameter w be less than -1?
• Accelerated expansion of the universe driven by tachyonic matter
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• A Dark Energy Model Characterized by the Age of the Universe
• Cosmology with tachyon field as dark energy
• A New Model of Agegraphic Dark Energy
• CfA3: 185 Type Ia Supernova Light Curves from the CfA
• How many cosmological parameters?
• Constraints on holographic dark energy from type Ia supernova observations
• The Holographic Dark Energy in a Non-flat Universe
• Uncorrelated Estimates of Dark Energy Evolution
• Comparison of the Legacy and Gold SnIa Dataset Constraints on Dark Energy Models
• Hessence: A New View of Quintom Dark Energy
• Parameterization of Dark-Energy Properties: a Principal-Component Approach
• Robust Dark Energy Constraints from Supernovae, Galaxy Clustering, and Three-Year Wilkinson Microwave Anisotropy Probe Observations
• Supernova Constraints on a holographic dark energy model
• Holographic dark energy models: A comparison from the latest observational data
• Constraints on linear-negative potentials in quintessence and phantom models from recent supernova data
• New generalized Chaplygin gas as a scheme for unification of dark energy and dark matter
• Cosmological Evolution of Hessence Dark Energy and Avoidance of the Big Rip
• Anthropic Principle Favors the Holographic Dark Energy
• Some Issues Concerning Holographic Dark Energy
• Tension and Systematics in the Gold06 SnIa Dataset
• Probing Dark Energy Using Its Density Instead of Its Equation of State
• Information-theoretic model selection applied to supernovae data
• Alleviation of Cosmic Age Problem In Interacting Dark Energy Model
• 2-loop Quantum Yang-Mills Condensate as Dark Energy
• Yang-Mills condensate dark energy coupled with matter and radiation
• The LambdaCDM model on the lead -- a Bayesian cosmological models comparison
• 3-loop Yang-Mills Condensate Dark Energy Model And Its Cosmological Constraints
• Narrowing Constraints with Type Ia Supernovae: Converging on a Cosmological Constant
• Holographic Gas as Dark Energy
• Constraining the evolution of dark energy with type Ia supernovae and gamma-ray bursts
• Gamma-ray burst contributions to constraining the evolution of dark energy

Cited by in corpus (42)

• Dark Energy
• Holographic Dark Energy
• How the Dark Energy Can Reconcile \textit{Planck} with Local Determination of the Hubble Constant
• Holographic dark energy in a universe with spatial curvature and massive neutrinos: a full Markov Chain Monte Carlo exploration
• Revisit of cosmic age problem
• Effects of time-varying $\beta$ in SNLS3 on constraining interacting dark energy models
• Statefinder hierarchy model for the Barrow holographic dark energy
• Exploring the Systematic Uncertainties of Type Ia Supernovae as Cosmological Probes
• Distance Priors from \emph{Planck} 2015 data
• Exploring the Latest Union2 SNIa Dataset by Using Model-Independent Parametrization Methods
• Probing the dynamics of dark energy with divergence-free parametrizations: A global fit study
• Probing Dark Energy Dynamics from Current and Future Cosmological Observations
• A comprehensive investigation on the slowing down of cosmic acceleration
• Distance Measurements from Supernovae and Dark Energy Constraints
• Probing the dynamical behavior of dark energy
• Revisit of constraints on holographic dark energy: SNLS3 dataset with the effects of time-varying $\beta$ and different light-curve fitters
• Scalar-tensor cosmologies with a potential in the general relativity limit: time evolution
• Exploring the evolution of color-luminosity parameter $\beta$ and its effects on parameter estimation
• Probing Cosmic Acceleration by Using the SNLS3 SNIa Dataset
• Reconstructing dark energy with model independent methods after DESI DR2 BAO
• Diagnosing $\Lambda$HDE model with statefinder hierarchy and fractional growth parameter
• Scalar-tensor cosmologies with dust matter in the general relativity limit
• More Evidence for the Redshift Dependence of Color from the JLA Supernova Sample Using Redshift Tomography
• The effect of different observational data on the constraints of cosmological parameters
• On the effect of the degeneracy between w_0 and w_a
• Time-Varying Dark Energy Constraints From the Latest SN Ia, BAO and SGL
• Improved cosmological constraints on the curvature and equation of state of dark energy
• The tension on the cosmological parameters from different observational data
• Effects of a time-varying color-luminosity parameter $\beta$ on the cosmological constraints of modified gravity models
• Comparing dark energy models with current observational data
• Exploring the cosmological consequences of JLA supernova data with improved flux-averaging technique
• Impacts of different SNLS3 light-curve fitters on cosmological consequences of interacting dark energy models
• Probing Dark Energy with the Kunlun Dark Universe Survey Telescope
• Holographic Dark Energy and Quantum Entanglement
• Current cosmological constraints on the curvature, dark energy and modified gravity
• Cosmological implications of different baryon acoustic oscillation data
• Observational constraint on dynamical evolution of dark energy
• Cosmic Steps in Modeling Dark Energy
• Analysis of recent type Ia supernova data based on evolving dark energy models
• A closer look at the cosmological implications of the $\Lambda$HDE model
• Probing Cosmic Acceleration by Using Model-Independent Parametrizations and Three Kinds of Supernova Statistics Techniques
• Dark Energy and Hubble Constant From the Latest SNe Ia, BAO and SGL