Extracting $H_{0}$ and $r_{d}$ in Pacif Parametrization Models through Late-Time Dataset

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Main Authors: Chaudhary, Himanshu, Pacif, Shibesh Kumar Jas, Mustafa, G., Bouali, Amine, Javed, Faisal
Format: Preprint
Published: 2024
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author Chaudhary, Himanshu
Pacif, Shibesh Kumar Jas
Mustafa, G.
Bouali, Amine
Javed, Faisal
author_facet Chaudhary, Himanshu
Pacif, Shibesh Kumar Jas
Mustafa, G.
Bouali, Amine
Javed, Faisal
contents This study examines five models derived from the Pacif parametrization scheme of the Hubble parameter ($H$), yielding various linear to quintic forms of the deceleration parameter (DP). Our goal is to explore the impact of these DP variations on late-time evolution and their potential to alleviate cosmological tensions. To enhance model constraints, we introduce non-diagonal elements into the covariance matrix to better capture statistical properties by simulating data point correlations. We also test the sensitivity of $H_{0}$ and $r_{d}$ to the Pacif parametrization scheme, treating the sound horizon $r_{d}$ as a free parameter to avoid imposing a CMB prior. This allows late-time data to constrain $r_{d}$ alongside other cosmological parameters, incorporating recent Baryon Acoustic Oscillations (BAO) measurements and Hubble data from Cosmic Chronometers Methods, Type Ia Supernovae (SNIa), Gamma-Ray Bursts (GRBs), and Quasars over a redshift range of $0.106 < z < 2.33$. Our analysis provides optimal fit values for $H_{0}$ and $r_{d}$, showing notable consistency with Planck CMB data. By using the Akaike information criterion, we analyze the models and conclude that all models have good agreement with the most recent observations.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10499
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Extracting $H_{0}$ and $r_{d}$ in Pacif Parametrization Models through Late-Time Dataset
Chaudhary, Himanshu
Pacif, Shibesh Kumar Jas
Mustafa, G.
Bouali, Amine
Javed, Faisal
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
This study examines five models derived from the Pacif parametrization scheme of the Hubble parameter ($H$), yielding various linear to quintic forms of the deceleration parameter (DP). Our goal is to explore the impact of these DP variations on late-time evolution and their potential to alleviate cosmological tensions. To enhance model constraints, we introduce non-diagonal elements into the covariance matrix to better capture statistical properties by simulating data point correlations. We also test the sensitivity of $H_{0}$ and $r_{d}$ to the Pacif parametrization scheme, treating the sound horizon $r_{d}$ as a free parameter to avoid imposing a CMB prior. This allows late-time data to constrain $r_{d}$ alongside other cosmological parameters, incorporating recent Baryon Acoustic Oscillations (BAO) measurements and Hubble data from Cosmic Chronometers Methods, Type Ia Supernovae (SNIa), Gamma-Ray Bursts (GRBs), and Quasars over a redshift range of $0.106 < z < 2.33$. Our analysis provides optimal fit values for $H_{0}$ and $r_{d}$, showing notable consistency with Planck CMB data. By using the Akaike information criterion, we analyze the models and conclude that all models have good agreement with the most recent observations.
title Extracting $H_{0}$ and $r_{d}$ in Pacif Parametrization Models through Late-Time Dataset
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2402.10499