Peaks sphericity of non-Gaussian random fields
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916929233485824 |
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| author | Germani, Cristiano Gorji, Mohammad Ali Uwabo-Niibo, Michiru Yamaguchi, Masahide |
| author_facet | Germani, Cristiano Gorji, Mohammad Ali Uwabo-Niibo, Michiru Yamaguchi, Masahide |
| contents | We formulate the statistics of peaks of non-Gaussian random fields and implement it to study the sphericity of peaks. For non-Gaussianity of the local type, we present a general formalism valid regardless of how large the deviation from Gaussian statistics is. For general types of non-Gaussianity, we provide a framework that applies to any system with a given power spectrum and the corresponding bispectrum in the regime in which contributions from higher-order correlators can be neglected. We present an explicit expression for the most probable values of the sphericity parameters, including the effect of non-Gaussianity on the shape. We show that the effects of small perturbative non-Gaussianity on the sphericity parameters are negligible, as they are even smaller than the subleading Gaussian corrections. In contrast, we find that large non-Gaussianity can significantly distort the peak configurations, making them much less spherical. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05434 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Peaks sphericity of non-Gaussian random fields Germani, Cristiano Gorji, Mohammad Ali Uwabo-Niibo, Michiru Yamaguchi, Masahide Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory We formulate the statistics of peaks of non-Gaussian random fields and implement it to study the sphericity of peaks. For non-Gaussianity of the local type, we present a general formalism valid regardless of how large the deviation from Gaussian statistics is. For general types of non-Gaussianity, we provide a framework that applies to any system with a given power spectrum and the corresponding bispectrum in the regime in which contributions from higher-order correlators can be neglected. We present an explicit expression for the most probable values of the sphericity parameters, including the effect of non-Gaussianity on the shape. We show that the effects of small perturbative non-Gaussianity on the sphericity parameters are negligible, as they are even smaller than the subleading Gaussian corrections. In contrast, we find that large non-Gaussianity can significantly distort the peak configurations, making them much less spherical. |
| title | Peaks sphericity of non-Gaussian random fields |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.05434 |