Constraints on primordial curvature power spectrum with pulsar timing arrays
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
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2023
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| _version_ | 1866912297897689088 |
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| author | You, Zhi-Qiang Yi, Zhu Wu, You |
| author_facet | You, Zhi-Qiang Yi, Zhu Wu, You |
| contents | The stochastic signal detected by NANOGrav, PPTA, EPTA, and CPTA can be explained by the scalar-induced gravitational waves. In order to determine the scalar-induced gravitational waves model that best fits the stochastic signal, we employ both single- and double-peak parameterizations for the power spectrum of the primordial curvature perturbations, where the single-peak scenarios include the $δ$-function, box, lognormal, and broken power law model, and the double-peak scenario is described by the double lognormal form. Using Bayesian inference, we find that there is no significant evidence for or against the single-peak scenario over the double-peak model, with $\log$ (Bayes factors) among these models $\ln \mathcal{B} < 1$. Therefore, we cannot distinguish the different shapes of the power spectrum of the primordial curvature perturbation with the current sensitivity of pulsar timing arrays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_04419 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Constraints on primordial curvature power spectrum with pulsar timing arrays You, Zhi-Qiang Yi, Zhu Wu, You General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics The stochastic signal detected by NANOGrav, PPTA, EPTA, and CPTA can be explained by the scalar-induced gravitational waves. In order to determine the scalar-induced gravitational waves model that best fits the stochastic signal, we employ both single- and double-peak parameterizations for the power spectrum of the primordial curvature perturbations, where the single-peak scenarios include the $δ$-function, box, lognormal, and broken power law model, and the double-peak scenario is described by the double lognormal form. Using Bayesian inference, we find that there is no significant evidence for or against the single-peak scenario over the double-peak model, with $\log$ (Bayes factors) among these models $\ln \mathcal{B} < 1$. Therefore, we cannot distinguish the different shapes of the power spectrum of the primordial curvature perturbation with the current sensitivity of pulsar timing arrays. |
| title | Constraints on primordial curvature power spectrum with pulsar timing arrays |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2307.04419 |