Local Nonlinear Transforms effectively Reveal Primordial Information in Large-Scale Structure
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909959921336320 |
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| author | Wang, Yun Yu, Hao-Ran Yu, Yu He, Ping |
| author_facet | Wang, Yun Yu, Hao-Ran Yu, Yu He, Ping |
| contents | To eliminate gravitational non-Gaussianity, we introduce the $\mathcal{Z}$-$κ$ transform, a simple local nonlinear transform of the matter density field that emulates the inverse of nonlinear gravitational evolution. Using $N$-body simulations, we show that the $\mathcal{Z}$-$κ$ transform with $κ=6$ or $κ\to\infty$ (i.e., log) substantially Gaussianizes the density distribution, and recovers the linear power spectrum. In an extended parameter space including primordial non-Gaussianity, summed neutrino mass, and $Λ$CDM parameters, Fisher analysis demonstrates that power spectra of transformed fields provide strong complementary constraints. A central result is that these power spectra can directly capture the local primordial non-Gaussianity imprinted in large-scale structure. This opens a new avenue for probing the physics of the early Universe with Stage-IV surveys using two-point statistics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12304 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local Nonlinear Transforms effectively Reveal Primordial Information in Large-Scale Structure Wang, Yun Yu, Hao-Ran Yu, Yu He, Ping Cosmology and Nongalactic Astrophysics To eliminate gravitational non-Gaussianity, we introduce the $\mathcal{Z}$-$κ$ transform, a simple local nonlinear transform of the matter density field that emulates the inverse of nonlinear gravitational evolution. Using $N$-body simulations, we show that the $\mathcal{Z}$-$κ$ transform with $κ=6$ or $κ\to\infty$ (i.e., log) substantially Gaussianizes the density distribution, and recovers the linear power spectrum. In an extended parameter space including primordial non-Gaussianity, summed neutrino mass, and $Λ$CDM parameters, Fisher analysis demonstrates that power spectra of transformed fields provide strong complementary constraints. A central result is that these power spectra can directly capture the local primordial non-Gaussianity imprinted in large-scale structure. This opens a new avenue for probing the physics of the early Universe with Stage-IV surveys using two-point statistics. |
| title | Local Nonlinear Transforms effectively Reveal Primordial Information in Large-Scale Structure |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2512.12304 |