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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2512.17744 |
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| _version_ | 1866909971118030848 |
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| author | Wang, Ke |
| author_facet | Wang, Ke |
| contents | In this paper, we turn to the Learning the Universe Implicit Likelihood Inference (LtU-ILI) pipeline to perform a multi-round ILI of the neutrino mass hierarchy from cosmological data, including $TT$, $TE$, $EE$ power spectra of Planck 2018 and distance ratios of DESI DR2. More precisely, we first embed the CMB power spectra simulator $\mathtt{CLASS}$ into the LtU-ILI pipeline. And then, opting for Sequential Neural Likelihood Estimation (SNLE), we sequentially train neural networks using $2$ rounds of $5000$ simulations to target a ``black box'' likelihood of our forward model with one additional neutrino mass hierarchy parameter $\tildeΔ$ and six base cosmological parameters. We find that $\tildeΔ=0.12216^{+0.26193}_{-0.29243}~(68\%{\rm CL})$ which slightly prefers $\tildeΔ>0$, hence the normal hierarchy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Implicit Likelihood Inference of the Neutrino Mass Hierarchy from Cosmological Data Wang, Ke Cosmology and Nongalactic Astrophysics In this paper, we turn to the Learning the Universe Implicit Likelihood Inference (LtU-ILI) pipeline to perform a multi-round ILI of the neutrino mass hierarchy from cosmological data, including $TT$, $TE$, $EE$ power spectra of Planck 2018 and distance ratios of DESI DR2. More precisely, we first embed the CMB power spectra simulator $\mathtt{CLASS}$ into the LtU-ILI pipeline. And then, opting for Sequential Neural Likelihood Estimation (SNLE), we sequentially train neural networks using $2$ rounds of $5000$ simulations to target a ``black box'' likelihood of our forward model with one additional neutrino mass hierarchy parameter $\tildeΔ$ and six base cosmological parameters. We find that $\tildeΔ=0.12216^{+0.26193}_{-0.29243}~(68\%{\rm CL})$ which slightly prefers $\tildeΔ>0$, hence the normal hierarchy. |
| title | Implicit Likelihood Inference of the Neutrino Mass Hierarchy from Cosmological Data |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2512.17744 |