No-go theorem for scalar-trispectrum-induced gravitational waves

Garcia-Saenz，Sebastian1; Pinol，Lucas2; Renaux-Petel，Sébastien3; Werth，Denis3

2023-03-01

10.1088/1475-7516/2023/03/057

Journal of Cosmology and Astroparticle Physics   影响因子和分区

1475-7516

1475-7516

We show that the contribution of the primordial trispectrum to the energy density of the scalar-induced stochastic gravitational wave background cannot exceed the one from the scalar power spectrum in conventional inflationary scenarios. Specifically, we prove in the context of scale-invariant theories that neither regular trispectrum shapes peaking in so-called equilateral configurations, nor local trispectrum shapes diverging in soft momentum limits, can contribute significantly. Indeed, those contributions are always bound to be smaller than an order-one (or smaller) number multiplying the relative one-loop correction to the scalar power spectrum, necessarily much smaller than unity in order for the theory to be under perturbative control. Since a no-go theorem is only worth its assumptions, we also briefly discuss a toy model for a scale-dependent scalar spectrum, which confirms the robustness of our no-go result.

cosmological perturbation theory inflation physics of the early universe primordial gravitational waves (theory)

SCI

英语

第一

Spanish Research Agency (Agencia Estatal de Investigacion) through the Grant IFT Centro de Excelencia Severo Ochoa - MCIN/AEI["2019-T1/TIC15784","CEX2020-001007-S"] ; European Research Council under the European Union[758792]

Astronomy & Astrophysics ; Physics

Astronomy & Astrophysics ; Physics, Particles & Fields

WOS:000965736600009

IOP Publishing Ltd

SPACE SCIENCE

2-s2.0-85151848832

Scopus

1.Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
2.Instituto de Física Teórica UAM,CSIC,U. Autónoma de Madrid,Madrid,C/ Nicolás Cabrera 13-15, Cantoblanco,28049,Spain
3.Institut d'Astrophysique de Paris,GReCO,UMR 7095 du CNRS et de Sorbonne Université,Paris,98 bis boulevard Arago,75014,France

Garcia-Saenz，Sebastian,Pinol，Lucas,Renaux-Petel，Sébastien,et al. No-go theorem for scalar-trispectrum-induced gravitational waves[J]. Journal of Cosmology and Astroparticle Physics,2023,2023(3).

Garcia-Saenz，Sebastian,Pinol，Lucas,Renaux-Petel，Sébastien,&Werth，Denis.(2023).No-go theorem for scalar-trispectrum-induced gravitational waves.Journal of Cosmology and Astroparticle Physics,2023(3).

Garcia-Saenz，Sebastian,et al."No-go theorem for scalar-trispectrum-induced gravitational waves".Journal of Cosmology and Astroparticle Physics 2023.3(2023).