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Probing scalar induced gravitational waves with PTA and LISA: The Importance of third order correction

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arxiv 2312.14409 v2 pith:LFGGVKHZ submitted 2023-12-22 astro-ph.CO gr-qc

Zhe Chang , Yu-Ting Kuang , Di Wu , Jing-Zhi Zhou This is my paper
classification astro-ph.COgr-qc
keywords orderthirdsigwsspectrumlisapowerprimordialamplitude
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abstract

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 $A_{\zeta}=10^{-2}\sim 10^{-1}$, 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 $A_{\zeta}$ and the peak frequency $f_*$ of the primordial power spectrum.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Twisted echoes of an odd quartet: Scalar-induced gravitational waves as a probe of primordial parity-violation

    astro-ph.CO 2025-07 conditional novelty 6.0 of 10

    A parity-odd primordial trispectrum imprints measurable left-right asymmetry in scalar-induced gravitational waves, and the chirality ratio directly tracks the parity-odd to parity-even trispectrum amplitude ratio.

  2. Constraining primordial non-Gaussianity and parity-violation through Scalar-Induced Gravitational Waves with next-generation ground-based interferometers

    astro-ph.CO 2026-07 conditional novelty 5.0 of 10

    ET+CE forecast: injected SIGW parameters (A_p, f_peak, f_NL, tau_NL, parity-odd tau_tilde_NL) are recovered within 1-2 sigma despite an astrophysical foreground, but the chiral V-mode is sub-threshold (SNR 0.5-1.9).

  3. Tensor induced gravitational waves

    astro-ph.CO 2025-07 conditional novelty 4.0 of 10

    Second-order tensor-induced gravitational waves can shift the inferred parameters of small-scale primordial gravitational wave models fitted to NANOGrav 15-year data, with one model favored by Bayes factors.

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