Imprint of massive neutrinos on Persistent Homology of large-scale structure
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arXiv
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| Natura: | Preprint |
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2023
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| _version_ | 1866911292788310016 |
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| author | Kanafi, M. H. Jalali Ansarifard, S. Movahed, S. M. S. |
| author_facet | Kanafi, M. H. Jalali Ansarifard, S. Movahed, S. M. S. |
| contents | Exploiting the Persistent Homology technique and its complementary representations,
we examine the footprint of summed neutrino mass ($M_ν$) in the various density fields simulated by the publicly available Quijote suite. The evolution of topological features by utilizing the super-level filtration on three-dimensional density fields at zero redshift, reveals a remarkable benchmark for constraining the cosmological parameters, particularly $M_ν$ and $σ_8$. The abundance of independent closed surfaces (voids) compared to the connected components (clusters) and independent loops (filaments), is more sensitive to the presence of $M_ν$ for $R=5$ Mpc $h^{-1}$ irrespective of whether using the total matter density field ($m$) or CDM+baryons field ($cb$). Reducing the degeneracy between $M_ν$ and $σ_8$ is achieved via Persistent Homology for the $m$ field but not for the $cb$ field. The uncertainty of $M_ν$ at $1σ$ confidence interval from the joint analysis of Persistent Homology vectorization for the $m$ and $cb$ fields smoothed by $R=5$ Mpc $h^{-1}$ at $z=0$ reaches $0.0152$ eV and $0.1242$ eV, respectively. Noticing the use of the 3-dimensional underlying density field at $z=0$, the mentioned uncertainties can be treated as the theoretical lower limits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13520 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Imprint of massive neutrinos on Persistent Homology of large-scale structure Kanafi, M. H. Jalali Ansarifard, S. Movahed, S. M. S. Cosmology and Nongalactic Astrophysics High Energy Physics - Theory Data Analysis, Statistics and Probability Exploiting the Persistent Homology technique and its complementary representations, we examine the footprint of summed neutrino mass ($M_ν$) in the various density fields simulated by the publicly available Quijote suite. The evolution of topological features by utilizing the super-level filtration on three-dimensional density fields at zero redshift, reveals a remarkable benchmark for constraining the cosmological parameters, particularly $M_ν$ and $σ_8$. The abundance of independent closed surfaces (voids) compared to the connected components (clusters) and independent loops (filaments), is more sensitive to the presence of $M_ν$ for $R=5$ Mpc $h^{-1}$ irrespective of whether using the total matter density field ($m$) or CDM+baryons field ($cb$). Reducing the degeneracy between $M_ν$ and $σ_8$ is achieved via Persistent Homology for the $m$ field but not for the $cb$ field. The uncertainty of $M_ν$ at $1σ$ confidence interval from the joint analysis of Persistent Homology vectorization for the $m$ and $cb$ fields smoothed by $R=5$ Mpc $h^{-1}$ at $z=0$ reaches $0.0152$ eV and $0.1242$ eV, respectively. Noticing the use of the 3-dimensional underlying density field at $z=0$, the mentioned uncertainties can be treated as the theoretical lower limits. |
| title | Imprint of massive neutrinos on Persistent Homology of large-scale structure |
| topic | Cosmology and Nongalactic Astrophysics High Energy Physics - Theory Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2311.13520 |