Probing scalar induced gravitational waves with PTA and LISA: The Importance of third order correction
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866907812148281344 |
|---|---|
| author | Chang, Zhe Kuang, Yu-Ting Wu, Di Zhou, Jing-Zhi |
| author_facet | Chang, Zhe Kuang, Yu-Ting Wu, Di Zhou, Jing-Zhi |
| contents | We revisit the calculation of third order \acp{SIGW} and extend it from a monochromatic primordial power spectrum to a more general log-normal one. We investigate the impact of third order SIGWs on \ac{SNR} of \ac{LISA} and \ac{PTA} observations, and find that third order SIGWs significantly contribute to the total energy density spectrum of \acp{GW} in high-frequency region. For a primordial power spectrum amplitude of $A_ζ=10^{-2}\sim 10^{-1}$, the effects of third order SIGWs lead to a $40\%$ to $400\%$ increase in the SNR for LISA. Additionally, our PTA data analysis reveals that third order SIGWs diminish both the amplitude $A_ζ$ and the peak frequency $f_*$ of the primordial power spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14409 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Probing scalar induced gravitational waves with PTA and LISA: The Importance of third order correction Chang, Zhe Kuang, Yu-Ting Wu, Di Zhou, Jing-Zhi Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology We revisit the calculation of third order \acp{SIGW} and extend it from a monochromatic primordial power spectrum to a more general log-normal one. We investigate the impact of third order SIGWs on \ac{SNR} of \ac{LISA} and \ac{PTA} observations, and find that third order SIGWs significantly contribute to the total energy density spectrum of \acp{GW} in high-frequency region. For a primordial power spectrum amplitude of $A_ζ=10^{-2}\sim 10^{-1}$, the effects of third order SIGWs lead to a $40\%$ to $400\%$ increase in the SNR for LISA. Additionally, our PTA data analysis reveals that third order SIGWs diminish both the amplitude $A_ζ$ and the peak frequency $f_*$ of the primordial power spectrum. |
| title | Probing scalar induced gravitational waves with PTA and LISA: The Importance of third order correction |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.14409 |