{"paper":{"title":"Probing scalar induced gravitational waves with PTA and LISA: The Importance of third order correction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Di Wu, Jing-Zhi Zhou, Yu-Ting Kuang, Zhe Chang","submitted_at":"2023-12-22T03:24:13Z","abstract_excerpt":"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 thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.14409","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.14409/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}