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Large n-point Functions in Resonant Inflation

2025/08/26 by Creminelli, Paolo, Renaux-Petel, Sébastien, Tambalo, Giovanni +1 · 1 citation
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2508.19240

Abstract

We investigate a qualitatively new regime of inflationary models with small and rapid oscillations in the potential--resonant non-Gaussianity. In contrast to the standard scenario, where most of the observable information is encoded in the power spectrum, in this regime the oscillatory signal predominantly appears in higher-order correlation functions with large n. This behavior emerges when the oscillation frequency ω exceeds the naive cutoff of the theory, 4πf. However, as noted by Hook and Rattazzi [2306.12489], the actual cutoff is somewhat higher -- though only logarithmically -- when the amplitude of the oscillations is small. We identify a phenomenologically relevant window in which n-point functions with 3 \lesssim n \lesssim 9 are potentially observable. In this regime, the signal exhibits 350-1000 oscillations per decade in k.

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