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Article Dans Une Revue JCAP Année : 2023

No-go Theorem for Scalar-Trispectrum-Induced Gravitational Waves

Sebastian Garcia-Saenz
  • Fonction : Auteur
Lucas Pinol
  • Fonction : Auteur
Sébastien Renaux-Petel

Résumé

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.

Dates et versions

hal-03760615 , version 1 (25-08-2022)

Identifiants

Citer

Sebastian Garcia-Saenz, Lucas Pinol, Sébastien Renaux-Petel, Denis Werth. No-go Theorem for Scalar-Trispectrum-Induced Gravitational Waves. JCAP, 2023, 03, pp.057. ⟨10.1088/1475-7516/2023/03/057⟩. ⟨hal-03760615⟩
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