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Model-independent reconstruction of the primordial curvature power spectrum from PTA data
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abstract
Recently released data from pulsar timing array (PTA) collaborations provide strong evidence for a stochastic signal consistent with a gravitational-wave background, potentially originating from scalar-induced gravitational waves (SIGWs). However, in order to determine whether the SIGWs with a specific power spectrum of curvature perturbations can account for the PTA signal, one needs to estimate the energy density of the SIGWs, which can be computationally expensive. In this paper, we use a model-independent approach to reconstruct the primordial curvature power spectrum using a free spectrum cross over from $10^{1}\,\mathrm{Mpc}^{-1}$ to $10^{20}\,\mathrm{Mpc}^{-1}$ with NANOGrav 15-yrs data set. Our results can simplify the task of assessing whether a given primordial curvature power spectrum can adequately explain the observed PTA signal without calculating the energy density of SIGWs.
Forward citations
Cited by 6 Pith papers
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Circularly polarized gravitational waves from parity-violating scalar-tensor theory
In the "Qi-Xiu" parity-violating scalar-tensor theory, the L3 and L4 interactions leave linear gravitational-wave propagation GR-like but still generate circularly polarized scalar-induced gravitational waves.
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Twisted echoes of an odd quartet: Scalar-induced gravitational waves as a probe of primordial parity-violation
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.
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Scalar-induced gravitational waves from a box-shaped curvature power spectrum
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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Scalar-induced gravitational waves from inflation with symmetry breaking
Late gauge-field excitation in charged symmetry-breaking inflation pushes enhanced SIGWs into the GHz band, where longitudinal and charge-mixing parameters reshape the spectrum in opposite, distinguishable ways.
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Constraining primordial non-Gaussianity and parity-violation through Scalar-Induced Gravitational Waves with next-generation ground-based interferometers
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).
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Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves
Purely quadratic non-Gaussianity from tachyonic instability allows narrow curvature spectra to exponentially suppress primordial black hole overproduction via correlation coefficient ρ approaching -1 while retaining s...
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