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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.16992 |
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| _version_ | 1866917407922061312 |
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| author | Labate, Andrea Guidi, Massimo Moresco, Michele Veropalumbo, Alfonso |
| author_facet | Labate, Andrea Guidi, Massimo Moresco, Michele Veropalumbo, Alfonso |
| contents | Free-streaming of cosmic neutrinos affects the distribution and growth of cosmic structures on small scales. This enables the sum of neutrino masses $M_ν$ to be constrained from clustering studies. We investigate the possibility of disentangling massive neutrino cosmologies with the three-point correlation function (3PCF) for the first time. We measured the isotropic connected 3PCF $ζ$ and the reduced 3PCF $Q$ of halo catalogs from the Quijote suite of $N$-body simulations, considering $M_ν=0.0, 0.1, 0.2,$ and $0.4 \, \mathrm{eV}$ in different redshift bins. We developed a framework to quantify the detectability of massive neutrinos for different triangle configurations and shapes, and applied it to a case compatible with a stage-IV spectroscopic survey. We also compared our results with the analysis of simulations without neutrinos, but with different $σ_8$ values, to test whether the 3PCF can break the well-known degeneracy between the two parameters. We found that as a result of free-streaming, the strongest signal is found for quasi-isosceles and squeezed triangles; this signal increases for decreasing redshifts. Among these configurations, elongated triangles, tracing the filamentary structure of the cosmic web, are the most affected by massive neutrinos, with a 3PCF signal increasing with $M_ν$. A complementary source of signal comes from right-angled triangles in $Q$. Importantly, we found that the signatures of a $σ_8$ variation appear to be significantly different on elongated triangles in $ζ$ and right-angled triangles in $Q$, suggesting that the 3PCF can be used to effectively break the $M_ν- σ_8$ degeneracy. These results open the possibility to use the 3PCF as a powerful complementary tool for constraining neutrino masses in current and future spectroscopic surveys such as DESI, Euclid, 4MOST, and the Nancy Grace Roman Space Telescope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The imprints of massive neutrinos on the three-point correlation function of large-scale structures Labate, Andrea Guidi, Massimo Moresco, Michele Veropalumbo, Alfonso Cosmology and Nongalactic Astrophysics Free-streaming of cosmic neutrinos affects the distribution and growth of cosmic structures on small scales. This enables the sum of neutrino masses $M_ν$ to be constrained from clustering studies. We investigate the possibility of disentangling massive neutrino cosmologies with the three-point correlation function (3PCF) for the first time. We measured the isotropic connected 3PCF $ζ$ and the reduced 3PCF $Q$ of halo catalogs from the Quijote suite of $N$-body simulations, considering $M_ν=0.0, 0.1, 0.2,$ and $0.4 \, \mathrm{eV}$ in different redshift bins. We developed a framework to quantify the detectability of massive neutrinos for different triangle configurations and shapes, and applied it to a case compatible with a stage-IV spectroscopic survey. We also compared our results with the analysis of simulations without neutrinos, but with different $σ_8$ values, to test whether the 3PCF can break the well-known degeneracy between the two parameters. We found that as a result of free-streaming, the strongest signal is found for quasi-isosceles and squeezed triangles; this signal increases for decreasing redshifts. Among these configurations, elongated triangles, tracing the filamentary structure of the cosmic web, are the most affected by massive neutrinos, with a 3PCF signal increasing with $M_ν$. A complementary source of signal comes from right-angled triangles in $Q$. Importantly, we found that the signatures of a $σ_8$ variation appear to be significantly different on elongated triangles in $ζ$ and right-angled triangles in $Q$, suggesting that the 3PCF can be used to effectively break the $M_ν- σ_8$ degeneracy. These results open the possibility to use the 3PCF as a powerful complementary tool for constraining neutrino masses in current and future spectroscopic surveys such as DESI, Euclid, 4MOST, and the Nancy Grace Roman Space Telescope. |
| title | The imprints of massive neutrinos on the three-point correlation function of large-scale structures |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2512.16992 |