Constraints on the Primordial Curvature Power Spectrum by Pulsar Timing Array Data: A Polynomial Parameterization Approach

Fuente: arXiv
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Auteur principal: Fei, Qin
Format: Preprint
Publié: 2023
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author Fei, Qin
author_facet Fei, Qin
contents The recent stochastic signal observed jointly by NANOGrav, PPTA, EPTA, and CPTA can be accounted for by scalar-induced gravitational waves (SIGWs). The source of the SIGWs is from the primordial curvature perturbations, and the main contribution to the SIGWs is from the peak of the primordial curvature power spectrum. To effectively model this peak, we apply the Taylor expansion to parameterize it. With the Taylor expansion parameterization, we apply Bayesian methods to constrain the primordial curvature power spectrum based on the NANOGrav 15-year data set. The constraint on the primordial curvature power spectrum possesses a degree of generality, as the Taylor expansion can effectively approximate a wide range of function profiles.
format Preprint
id arxiv_https___arxiv_org_abs_2310_17199
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Constraints on the Primordial Curvature Power Spectrum by Pulsar Timing Array Data: A Polynomial Parameterization Approach
Fei, Qin
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
The recent stochastic signal observed jointly by NANOGrav, PPTA, EPTA, and CPTA can be accounted for by scalar-induced gravitational waves (SIGWs). The source of the SIGWs is from the primordial curvature perturbations, and the main contribution to the SIGWs is from the peak of the primordial curvature power spectrum. To effectively model this peak, we apply the Taylor expansion to parameterize it. With the Taylor expansion parameterization, we apply Bayesian methods to constrain the primordial curvature power spectrum based on the NANOGrav 15-year data set. The constraint on the primordial curvature power spectrum possesses a degree of generality, as the Taylor expansion can effectively approximate a wide range of function profiles.
title Constraints on the Primordial Curvature Power Spectrum by Pulsar Timing Array Data: A Polynomial Parameterization Approach
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2310.17199