Propagator positivity bounds for cosmological correlators
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917167469953024 |
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| author | Lee, Mang Hei Gordon Melville, Scott |
| author_facet | Lee, Mang Hei Gordon Melville, Scott |
| contents | Using unitarity and causality, we derive an infinite tower of two-sided positivity bounds on the effective field theory coefficients which describe the propagation of heavy fields on de Sitter spacetime. We design this EFT to describe propagators with the in-in boundary conditions that are relevant for cosmological correlators. Our positivity bounds therefore identify EFT correlators that can never emerge from a consistent underlying model of inflation. This implies non-trivial constraints on primordial non-Gaussianity; for instance the cosmological collider oscillations in the squeezed bispectrum from the exchange of a heavy scalar are tied to the shape of its EFT background. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_20706 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Propagator positivity bounds for cosmological correlators Lee, Mang Hei Gordon Melville, Scott High Energy Physics - Theory General Relativity and Quantum Cosmology Using unitarity and causality, we derive an infinite tower of two-sided positivity bounds on the effective field theory coefficients which describe the propagation of heavy fields on de Sitter spacetime. We design this EFT to describe propagators with the in-in boundary conditions that are relevant for cosmological correlators. Our positivity bounds therefore identify EFT correlators that can never emerge from a consistent underlying model of inflation. This implies non-trivial constraints on primordial non-Gaussianity; for instance the cosmological collider oscillations in the squeezed bispectrum from the exchange of a heavy scalar are tied to the shape of its EFT background. |
| title | Propagator positivity bounds for cosmological correlators |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.20706 |