Improving SDSS cosmological constraints through $β$-skeleton weighted correlation functions
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914858836951040 |
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| author | Yin, Fenfen Ding, Jiacheng Lai, Limin Zhang, Wei Xiao, Liang Wang, Zihan Forero-Romero, Jaime Zhang, Le Li, Xiao-Dong |
| author_facet | Yin, Fenfen Ding, Jiacheng Lai, Limin Zhang, Wei Xiao, Liang Wang, Zihan Forero-Romero, Jaime Zhang, Le Li, Xiao-Dong |
| contents | The $β$-skeleton approach can be conveniently utilized to construct the cosmic web based on the spatial geometry distribution of galaxies, particularly in sparse samples. This method plays a key role in establishing the three-dimensional structure of the Universe and serves as a tool for quantitatively characterizing the nature of the cosmic web. This study is the first application of $β$-skeleton information as weights in mark weighted correlation functions (MCFs), presenting a novel statistical measure. We have applied the $β$-skeleton approach to the CMASS NGC galaxy samples from SDSS BOSS DR12 in the redshift interval $0.45 \leq z \leq 0.55$. Additionally, we applied this approach to three COLA cosmological simulations with different settings ($Ω_m=0.25, Ω_m=0.31, Ω_m=0.4$) for comparison. We measured three MCFs, each weighted by i) the number of neighboring galaxies around each galaxy, ii) the average distance of each galaxy from its surrounding neighbors, and iii) the reciprocal of the average distance of each galaxy from its surrounding neighbors. By comparing measurements and calculating corresponding $χ^2$ statistics, we observe high sensitivity to the cosmological parameter $Ω_m$ through a joint analysis of the two-point correlation and three MCFs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Improving SDSS cosmological constraints through $β$-skeleton weighted correlation functions Yin, Fenfen Ding, Jiacheng Lai, Limin Zhang, Wei Xiao, Liang Wang, Zihan Forero-Romero, Jaime Zhang, Le Li, Xiao-Dong Cosmology and Nongalactic Astrophysics The $β$-skeleton approach can be conveniently utilized to construct the cosmic web based on the spatial geometry distribution of galaxies, particularly in sparse samples. This method plays a key role in establishing the three-dimensional structure of the Universe and serves as a tool for quantitatively characterizing the nature of the cosmic web. This study is the first application of $β$-skeleton information as weights in mark weighted correlation functions (MCFs), presenting a novel statistical measure. We have applied the $β$-skeleton approach to the CMASS NGC galaxy samples from SDSS BOSS DR12 in the redshift interval $0.45 \leq z \leq 0.55$. Additionally, we applied this approach to three COLA cosmological simulations with different settings ($Ω_m=0.25, Ω_m=0.31, Ω_m=0.4$) for comparison. We measured three MCFs, each weighted by i) the number of neighboring galaxies around each galaxy, ii) the average distance of each galaxy from its surrounding neighbors, and iii) the reciprocal of the average distance of each galaxy from its surrounding neighbors. By comparing measurements and calculating corresponding $χ^2$ statistics, we observe high sensitivity to the cosmological parameter $Ω_m$ through a joint analysis of the two-point correlation and three MCFs. |
| title | Improving SDSS cosmological constraints through $β$-skeleton weighted correlation functions |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2403.14165 |