Large $n$-point Functions in Resonant Inflation
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918313199665152 |
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| author | Creminelli, Paolo Renaux-Petel, Sébastien Tambalo, Giovanni Yingcharoenrat, Vicharit |
| author_facet | Creminelli, Paolo Renaux-Petel, Sébastien Tambalo, Giovanni Yingcharoenrat, Vicharit |
| contents | 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 $k$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19240 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large $n$-point Functions in Resonant Inflation Creminelli, Paolo Renaux-Petel, Sébastien Tambalo, Giovanni Yingcharoenrat, Vicharit Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory 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 $k$. |
| title | Large $n$-point Functions in Resonant Inflation |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.19240 |