Model-independent reconstruction of the primordial curvature power spectrum from PTA data

Fuente: arXiv
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Autori principali: Yi, Zhu, You, Zhi-Qiang, Wu, You
Natura: Preprint
Pubblicazione: 2023
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author Yi, Zhu
You, Zhi-Qiang
Wu, You
author_facet Yi, Zhu
You, Zhi-Qiang
Wu, You
contents Recently released data from pulsar timing array (PTA) collaborations provide strong evidence for a stochastic signal consistent with a gravitational-wave background, potentially originating from scalar-induced gravitational waves (SIGWs). However, in order to determine whether the SIGWs with a specific power spectrum of curvature perturbations can account for the PTA signal, one needs to estimate the energy density of the SIGWs, which can be computationally expensive. In this paper, we use a model-independent approach to reconstruct the primordial curvature power spectrum using a free spectrum cross over from $10^{1}\,\mathrm{Mpc}^{-1}$ to $10^{20}\,\mathrm{Mpc}^{-1}$ with NANOGrav 15-yrs data set. Our results can simplify the task of assessing whether a given primordial curvature power spectrum can adequately explain the observed PTA signal without calculating the energy density of SIGWs.
format Preprint
id arxiv_https___arxiv_org_abs_2308_05632
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Model-independent reconstruction of the primordial curvature power spectrum from PTA data
Yi, Zhu
You, Zhi-Qiang
Wu, You
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
Recently released data from pulsar timing array (PTA) collaborations provide strong evidence for a stochastic signal consistent with a gravitational-wave background, potentially originating from scalar-induced gravitational waves (SIGWs). However, in order to determine whether the SIGWs with a specific power spectrum of curvature perturbations can account for the PTA signal, one needs to estimate the energy density of the SIGWs, which can be computationally expensive. In this paper, we use a model-independent approach to reconstruct the primordial curvature power spectrum using a free spectrum cross over from $10^{1}\,\mathrm{Mpc}^{-1}$ to $10^{20}\,\mathrm{Mpc}^{-1}$ with NANOGrav 15-yrs data set. Our results can simplify the task of assessing whether a given primordial curvature power spectrum can adequately explain the observed PTA signal without calculating the energy density of SIGWs.
title Model-independent reconstruction of the primordial curvature power spectrum from PTA data
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2308.05632