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

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Main Authors: Gammal, Jonas El, Ghaleb, Aya, Franciolini, Gabriele, Papanikolaou, Theodoros, Peloso, Marco, Perna, Gabriele, Pieroni, Mauro, Ricciardone, Angelo, Rosati, Robert, Tasinato, Gianmassimo, Braglia, Matteo, Fumagalli, Jacopo, Kume, Jun'ya, Morgante, Enrico, Nardini, Germano, Racco, Davide, Renaux-Petel, Sébastien, Veermäe, Hardi, Werth, Denis, Zavala, Ivonne
Format: Preprint
Published: 2025
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author Gammal, Jonas El
Ghaleb, Aya
Franciolini, Gabriele
Papanikolaou, Theodoros
Peloso, Marco
Perna, Gabriele
Pieroni, Mauro
Ricciardone, Angelo
Rosati, Robert
Tasinato, Gianmassimo
Braglia, Matteo
Fumagalli, Jacopo
Kume, Jun'ya
Morgante, Enrico
Nardini, Germano
Racco, Davide
Renaux-Petel, Sébastien
Veermäe, Hardi
Werth, Denis
Zavala, Ivonne
author_facet Gammal, Jonas El
Ghaleb, Aya
Franciolini, Gabriele
Papanikolaou, Theodoros
Peloso, Marco
Perna, Gabriele
Pieroni, Mauro
Ricciardone, Angelo
Rosati, Robert
Tasinato, Gianmassimo
Braglia, Matteo
Fumagalli, Jacopo
Kume, Jun'ya
Morgante, Enrico
Nardini, Germano
Racco, Davide
Renaux-Petel, Sébastien
Veermäe, Hardi
Werth, Denis
Zavala, Ivonne
contents Many early universe scenarios predict an enhancement of scalar perturbations at scales currently unconstrained by cosmological probes. These perturbations source gravitational waves (GWs) at second order in perturbation theory, leading to a scalar-induced gravitational wave (SIGW) background. The LISA detector, sensitive to mHz GWs, will be able to constrain curvature perturbations in a new window corresponding to scales $k \in [10^{10}, 10^{14}] \,{\rm Mpc}^{-1}$, difficult to probe otherwise. In this work, we forecast the capabilities of LISA to constrain the source of SIGWs using different approaches: i) agnostic, where the spectrum of curvature perturbations is binned in frequency space; ii) template-based, modeling the curvature power spectrum based on motivated classes of models; iii) ab initio, starting from first-principles model of inflation featuring an ultra-slow roll phase. We compare the strengths and weaknesses of each approach. We also discuss the impact on the SIGW spectrum of non-standard thermal histories affecting the kernels of SIGW emission and non-Gaussianity in the statistics of the curvature perturbations. Finally, we propose simple tests to assess whether the signal is compatible with the SIGW hypothesis. The pipeline used is built into the SIGWAY code.
format Preprint
id arxiv_https___arxiv_org_abs_2501_11320
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Reconstructing Primordial Curvature Perturbations via Scalar-Induced Gravitational Waves with LISA
Gammal, Jonas El
Ghaleb, Aya
Franciolini, Gabriele
Papanikolaou, Theodoros
Peloso, Marco
Perna, Gabriele
Pieroni, Mauro
Ricciardone, Angelo
Rosati, Robert
Tasinato, Gianmassimo
Braglia, Matteo
Fumagalli, Jacopo
Kume, Jun'ya
Morgante, Enrico
Nardini, Germano
Racco, Davide
Renaux-Petel, Sébastien
Veermäe, Hardi
Werth, Denis
Zavala, Ivonne
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
Many early universe scenarios predict an enhancement of scalar perturbations at scales currently unconstrained by cosmological probes. These perturbations source gravitational waves (GWs) at second order in perturbation theory, leading to a scalar-induced gravitational wave (SIGW) background. The LISA detector, sensitive to mHz GWs, will be able to constrain curvature perturbations in a new window corresponding to scales $k \in [10^{10}, 10^{14}] \,{\rm Mpc}^{-1}$, difficult to probe otherwise. In this work, we forecast the capabilities of LISA to constrain the source of SIGWs using different approaches: i) agnostic, where the spectrum of curvature perturbations is binned in frequency space; ii) template-based, modeling the curvature power spectrum based on motivated classes of models; iii) ab initio, starting from first-principles model of inflation featuring an ultra-slow roll phase. We compare the strengths and weaknesses of each approach. We also discuss the impact on the SIGW spectrum of non-standard thermal histories affecting the kernels of SIGW emission and non-Gaussianity in the statistics of the curvature perturbations. Finally, we propose simple tests to assess whether the signal is compatible with the SIGW hypothesis. The pipeline used is built into the SIGWAY code.
title Reconstructing Primordial Curvature Perturbations via Scalar-Induced Gravitational Waves with LISA
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2501.11320