Einasto Profile as the Halo Model Solution Coupled to the Depletion Radius
We constrain the halo profiles outside the halo boundaries by solving for the matching profiles required by the halo model. In the halo model framework, the matter distribution in the Universe can be decomposed into the spatial distribution of halos convolved with their internal structures. This lea...
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2025-01-01
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| Online Access: | https://doi.org/10.3847/1538-4357/ad9de8 |
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| author | Yifeng Zhou Jiaxin Han |
| author_facet | Yifeng Zhou Jiaxin Han |
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| description | We constrain the halo profiles outside the halo boundaries by solving for the matching profiles required by the halo model. In the halo model framework, the matter distribution in the Universe can be decomposed into the spatial distribution of halos convolved with their internal structures. This leads to a set of linear equations in Fourier space that uniquely determines the matching halo profiles for any given halo catalog. In this work, we construct three halo catalogs with different boundary definitions and solve for the matching profiles in each case using measurements of halo–matter and halo–halo power spectra. Our results show that for a given halo field, there is always a set of matching profiles to accurately reconstruct the input statistics of the matter field, even though it might be complex to model the profiles analytically. Comparing the solutions from different halo catalogs, we find that their mass distributions inside the inner depletion radii are nearly identical, while they deviate from each other on larger scales, with a larger boundary resulting in a more extended profile. For the depletion-radius-based catalog, the numerical solution agrees well with the Einasto profile. Coupling the Einasto profile with the depletion catalog, the resulting halo model can simultaneously predict the halo–matter power spectra to 10% and the matter–matter power spectrum to 5%, improving over conventional models in both interpretability and versatility. The conditions and limitations of using the Navarro–Frenk–White profile in the halo model are also discussed. |
| format | Article |
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| institution | Kabale University |
| issn | 1538-4357 |
| language | English |
| publishDate | 2025-01-01 |
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| spelling | doaj-art-4468d76cbaa54035b9ed1345589aa0bf2025-01-20T06:28:51ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-0197915510.3847/1538-4357/ad9de8Einasto Profile as the Halo Model Solution Coupled to the Depletion RadiusYifeng Zhou0https://orcid.org/0000-0002-4260-051XJiaxin Han1https://orcid.org/0000-0002-8010-6715Department of Astronomy, School of Physics and Astronomy, Shanghai Jiao Tong University , Shanghai 200240, People’s Republic of China ; yifengzhou@sjtu.edu.cn, jiaxin.han@sjtu.edu.cn; Key Laboratory for Particle Astrophysics and Cosmology (MOE) , Shanghai 200240, People’s Republic of China; Shanghai Key Laboratory for Particle Physics and Cosmology , Shanghai 200240, People’s Republic of ChinaDepartment of Astronomy, School of Physics and Astronomy, Shanghai Jiao Tong University , Shanghai 200240, People’s Republic of China ; yifengzhou@sjtu.edu.cn, jiaxin.han@sjtu.edu.cn; Key Laboratory for Particle Astrophysics and Cosmology (MOE) , Shanghai 200240, People’s Republic of China; Shanghai Key Laboratory for Particle Physics and Cosmology , Shanghai 200240, People’s Republic of ChinaWe constrain the halo profiles outside the halo boundaries by solving for the matching profiles required by the halo model. In the halo model framework, the matter distribution in the Universe can be decomposed into the spatial distribution of halos convolved with their internal structures. This leads to a set of linear equations in Fourier space that uniquely determines the matching halo profiles for any given halo catalog. In this work, we construct three halo catalogs with different boundary definitions and solve for the matching profiles in each case using measurements of halo–matter and halo–halo power spectra. Our results show that for a given halo field, there is always a set of matching profiles to accurately reconstruct the input statistics of the matter field, even though it might be complex to model the profiles analytically. Comparing the solutions from different halo catalogs, we find that their mass distributions inside the inner depletion radii are nearly identical, while they deviate from each other on larger scales, with a larger boundary resulting in a more extended profile. For the depletion-radius-based catalog, the numerical solution agrees well with the Einasto profile. Coupling the Einasto profile with the depletion catalog, the resulting halo model can simultaneously predict the halo–matter power spectra to 10% and the matter–matter power spectrum to 5%, improving over conventional models in both interpretability and versatility. The conditions and limitations of using the Navarro–Frenk–White profile in the halo model are also discussed.https://doi.org/10.3847/1538-4357/ad9de8Large-scale structure of the universeDark matter distributionGalaxy dark matter halos |
| spellingShingle | Yifeng Zhou Jiaxin Han Einasto Profile as the Halo Model Solution Coupled to the Depletion Radius The Astrophysical Journal Large-scale structure of the universe Dark matter distribution Galaxy dark matter halos |
| title | Einasto Profile as the Halo Model Solution Coupled to the Depletion Radius |
| title_full | Einasto Profile as the Halo Model Solution Coupled to the Depletion Radius |
| title_fullStr | Einasto Profile as the Halo Model Solution Coupled to the Depletion Radius |
| title_full_unstemmed | Einasto Profile as the Halo Model Solution Coupled to the Depletion Radius |
| title_short | Einasto Profile as the Halo Model Solution Coupled to the Depletion Radius |
| title_sort | einasto profile as the halo model solution coupled to the depletion radius |
| topic | Large-scale structure of the universe Dark matter distribution Galaxy dark matter halos |
| url | https://doi.org/10.3847/1538-4357/ad9de8 |
| work_keys_str_mv | AT yifengzhou einastoprofileasthehalomodelsolutioncoupledtothedepletionradius AT jiaxinhan einastoprofileasthehalomodelsolutioncoupledtothedepletionradius |