Accounting for scalar non-Gaussianity in secondary gravitational waves

Abstract

It is well known that enhancement in the primordial scalar perturbations over small scales generates detectable amplitudes of secondary gravitational waves (GWs), by sourcing the tensor perturbations at the second order. These stochastic gravitational waves are expected to carry the imprints of primordial non-Gaussianities. The scalar bispectrum that is typically produced in models of inflation leading to significant secondary GWs is non-trivial and highly scale dependent. In this work, we present a method to account for such general scale dependent scalar bispectrum arising from inflationary models in the calculation of the spectral density of secondary GWs. Using this method, we compute the contributions arising from the scalar bispectrum to the amplitude of secondary GWs in two specific models of inflation driven by the canonical scalar field. We find that these non-Gaussian contributions can be highly model dependent and have to be consistently taken into account while estimating the total amplitude of the secondary GWs. Beyond the models considered, we emphasize that the method discussed is robust, free from assumptions about the shape of the bispectrum and generalizes earlier approaches adopted in the literature. We argue that this method of accounting for the scalar bispectrum shall be helpful in future computations for exotic models generating larger amplitudes of scalar non-Gaussianities along with significant amount of secondary GWs.

arXiv commentv1: 11 pages, 5 figures; v2: major revision - new section and appendix added, 17 pages, 9 figures

References in corpus (40)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Planck 2018 results. X. Constraints on inflation
• The NANOGrav 12.5-year Data Set: Search For An Isotropic Stochastic Gravitational-Wave Background
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• Gravitational-wave sensitivity curves
• The cosmological gravitational wave background from primordial density perturbations
• Primordial Non-Gaussianities from Inflation Models
• Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations
• Primordial black holes from single field models of inflation
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• The NANOGrav 11-year Data Set: Pulsar-timing Constraints On The Stochastic Gravitational-wave Background
• Primordial non-gaussianities in single field inflation
• A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
• Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum
• Primordial Black Hole production in Critical Higgs Inflation
• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments
• Testing Primordial Black Holes as Dark Matter through LISA
• Primordial Black Holes from $\alpha$-attractors
• Primordial Black Holes from a tiny bump/dip in the Inflaton potential
• Imprints of Primordial Non-Gaussianity on Gravitational Wave Spectrum
• Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak
• PBHs and secondary GWs from ultra slow roll and punctuated inflation
• Non-Gaussianity and the induced gravitational wave background
• Primordial black hole formation with non-Gaussian curvature perturbations
• Silk damping at a redshift of a billion: a new limit on small-scale adiabatic perturbations
• Halo Clustering with Non-Local Non-Gaussianity
• On the robustness of the primordial power spectrum in renormalized Higgs inflation
• Resonant multiple peaks in the induced gravitational waves
• BINGO: A code for the efficient computation of the scalar bi-spectrum
• Probing non-Gaussianities with the high frequency tail of induced gravitational waves
• Primordial black holes dark matter from inflection point models of inflation and the effects of reheating
• A note on the role of the boundary terms for the non-Gaussianity in general k-inflation
• The scalar bi-spectrum in the Starobinsky model: The equilateral case
• Overshooting, Critical Higgs Inflation and Second Order Gravitational Wave Signatures
• Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity
• On the scalar consistency relation away from slow roll
• Bridging the gap: spectral distortions meet gravitational waves
• Could PBHs and secondary GWs have originated from squeezed initial states?
• Suppression of scalar power on large scales and associated bispectra

Cited by in corpus (36)

• Inflation and Primordial Black Holes
• Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays
• Quantum loop effects on the power spectrum and constraints on primordial black holes
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter
• Induced gravitational waves from the cosmic coincidence
• Primordial Non-Gaussianity $f_{\mathrm{NL}}$ and Anisotropies in Scalar-Induced Gravitational Waves
• Observational imprints of enhanced scalar power on small scales in ultra slow roll inflation and associated non-Gaussianities
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Complete analysis of the background and anisotropies of scalar-induced gravitational waves: primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ considered
• Loop contributions to the scalar power spectrum due to quartic order action in ultra slow roll inflation
• Missing one-loop contributions in secondary gravitational waves
• Large fluctuations and Primordial Black Holes
• Observing nulling of primordial correlations via the 21 cm signal
• Quest for CMB spectral distortions to probe the scalar-induced gravitational wave background interpretation of pulsar timing array data
• Anisotropies in Scalar-Induced Gravitational-Wave Background from Inflaton-Curvaton Mixed Scenario with Sound Speed Resonance
• Gravitational waves in ultra-slow-roll and their anisotropy at two loops
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Angular bispectrum and trispectrum of scalar-induced gravitational waves: all contributions from primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$
• Constraining the history of reheating with the NANOGrav 15-year data
• Circumventing the challenges in the choice of the non-conformal coupling function in inflationary magnetogenesis
• Primordial Black Holes Dark Matter and Secondary Gravitational Waves from Warm Higgs-G Inflation
• Constraining ultra slow roll inflation using cosmological datasets
• Curvature Perturbations from First-Order Phase Transitions: Implications to Black Holes and Gravitational Waves
• Constraints on Non-Gaussian primordial curvature perturbation from the LIGO-Virgo-KAGRA third observing run
• Scalar induced gravitational waves review
• Multiple peaks in gravitational waves induced from primordial curvature perturbations with non-Gaussianity
• Fundamental Physics and Cosmology with TianQin
• Measuring the anisotropies in astrophysical and cosmological gravitational-wave backgrounds with Taiji and LISA networks
• Non-Gaussianities and Primordial Black Holes
• Study of primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ with the cross-correlations between the scalar-induced gravitational waves and the cosmic microwave background
• Comprehensive analysis of dissipative effects in the induced gravitational waves
• Flattened bispectrum of the scalar-induced gravitational waves