Observational Constraints and Geometric Diagnostics of Barboza-Alcaniz and Logarithmic Dark Energy Parametrizations

Abstract

This study investigates and compares two prominent two-dimensional dark energy (DE) parameterizations: Barboza-Alcaniz (BA) and Logarithmic forms by comparing them with a comprehensive set of observational data comprising Type Ia Supernovae (SNe Ia) from the Pantheon compilation, Baryon Acoustic Oscillations (DESI BAO), and Cosmic Chronometers (CC). The primary objective was to explore the constraining power and cosmological implications of each parameterization in light of the current data. After formulating the theoretical framework and background equations governing cosmic expansion, we employ Markov Chain Monte Carlo (MCMC) techniques using the emcee Python package to constrain the free parameters of each model. The best-fit values for parameters ${\omega }_0$, ${\omega }_a$, and $H_0$ were extracted for each model using individual and combined datasets. The results include confidence contours at the levels $1\sigma$ and $2\sigma$. Our findings demonstrate that both parameterizations are consistent with observational data, with logarithmic parameterization showing slightly better constraints in terms of parameter evolution. Furthermore, we employed a statefinder diagnostic to analyze the geometric behavior of the models, providing an effective distinction between the two DE scenarios. This study contributes to a deeper understanding of DE evolution and its constraints in light of current cosmological data.

arXiv comment15 pages, 6 Figures, 2 Tables

References in corpus (59)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• emcee: The MCMC Hammer
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• 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
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Statefinder -- a new geometrical diagnostic of dark energy
• Constraints on the redshift dependence of the dark energy potential
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Accelerated expansion of the universe driven by tachyonic matter
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• WMAP constraints on low redshift evolution of dark energy
• A Lower Growth Rate from Recent Redshift Space Distortion Measurements than Expected from Planck
• Constraining the equation of state of the Universe from Distant Type Ia Supernovae and Cosmic Microwave Background Anisotropies
• Observational constraints on low redshift evolution of dark energy: How consistent are different observations?
• A parametric model for dark energy
• Constraints on the sum of the neutrino masses in dynamical dark energy models with $w(z)\ge -1$ are tighter than those obtained in $\Lambda$CDM
• Toward a Better Understanding of Cosmic Chronometers: A new measurement of H(z) at z~0.7
• Constraining Dark Energy Dynamics in Extended Parameter Space
• Uncorrelated Measurements of the Cosmic Expansion History and Dark Energy from Supernovae
• Measuring the Speed of Sound of Quintessence
• Observational constraints on one-parameter dynamical dark-energy parametrizations and the $H_0$ tension
• Figure of Merit for Dark Energy Constraints from Current Observational Data
• New Observational $H(z)$ Data from Full-Spectrum Fitting of Cosmic Chronometers in the LEGA-C Survey
• Cosmography and flat $\Lambda$CDM tensions at high redshift
• Constraints on kinematic models from the latest observational data
• Quasar X-ray and UV flux, baryon acoustic oscillation, and Hubble parameter measurement constraints on cosmological model parameters
• Effects of neutrino mass hierarchies on dynamical dark energy models
• Vacuum models with a linear and a quadratic term in H: structure formation and number counts analysis
• A generalized equation of state for dark energy
• A Comparison of Thawing and Freezing Dark Energy Parametrizations
• The evidence of cosmic acceleration and observational constraints
• Observational Constraints on Oscillating Dark-Energy Parametrizations
• Reconstruction of the Dark Energy equation of state
• A New Equation of State for Dark Energy Model
• Latest astronomical constraints on some nonlinear parametric dark energy models
• Status on bidimensional dark energy parameterizations using SNe Ia JLA and BAO datasets
• Exploring the Dark Universe: constraints on dynamical Dark Energy models from CMB, BAO and growth rate measurements
• Spherical collapse model in agegraphic dark energy cosmologies
• Dynamic Dark Energy Equation of State (EoS) and Hubble Constant analysis using type Ia supernovae from Union 2.1 dataset
• Equation of state description of the dark energy transition between quintessence and phantom regimes