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Search for scalar induced gravitational waves in the International Pulsar Timing Array Data Release 2 and NANOgrav 12.5 years datasets

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arxiv 2302.07901 v3 pith:YQPRM4R3 submitted 2023-02-15 astro-ph.CO gr-qchep-ph

classification astro-ph.COgr-qchep-ph
keywords curvatureastrophysicalbackgrounddatapowersearchspectrumaround
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We perform a Bayesian search in the latest Pulsar Timing Array (PTA) datasets for a stochastic gravitational wave (GW) background sourced by curvature perturbations at scales $10^5~\text{Mpc}^{-1}\lesssim k\lesssim 10^8~\text{Mpc}^{-1}$. These re-enter the Hubble horizon at temperatures around and below the QCD crossover phase transition in the early Universe. We include a stochastic background of astrophysical origin in our search and properly account for constraints on the curvature power spectrum from the overproduction of primordial black holes (PBHs). We find that the International PTA Data Release 2 significantly favors the astrophysical model for its reported common-spectrum process, over the curvature-induced background. On the other hand, the two interpretations fit the NANOgrav 12.5 years dataset equally well. We then set new upper limits on the amplitude of the curvature power spectrum at small scales. These are independent from, and competitive with, indirect astrophysical bounds from the abundance of PBH dark matter. Upcoming PTA data releases will provide the strongest probe of the curvature power spectrum around the QCD epoch.

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Forward citations

Cited by 10 Pith papers

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  3. Reconstructing Primordial Curvature Perturbations via Scalar-Induced Gravitational Waves with LISA

    astro-ph.CO 2025-01 conditional novelty 6.0 of 10

    LISA can reconstruct the primordial curvature power spectrum from scalar-induced gravitational waves, with percent-level precision near the peak and Bayesian tests separating SIGWs from other sources.

  4. Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data

    astro-ph.CO 2024-12 conditional novelty 6.0 of 10

    Bayesian analysis of IPTA DR2 shows scalar-induced gravitational waves dominate and PBH merger backgrounds are strongly disfavored relative to an astrophysical SMBHB explanation.

  5. Scalar-induced gravitational waves from a box-shaped curvature power spectrum

    gr-qc 2026-07 accept novelty 5.5 of 10

    Analytic SIGW spectra for a log-box curvature power spectrum: narrow-box geometric overlap factor turning IR slope k^{3}ln^{2}k into k^{2}ln^{2}k, plus broad-box product of universal edge functions.

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    astro-ph.CO 2026-04 unverdicted novelty 5.0 of 10

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    astro-ph.CO 2025-08 conditional novelty 5.0 of 10

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  10. Primordial Black Hole Formation from the Upward Step Model: Avoiding Overproduction

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