Exploring the signature of assembly bias and modified gravity using small-scale clusterings of galaxies

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Main Authors: Wang, Yirong, Zhai, Zhongxu, Yang, Xiaohu, Tinker, Jeremy L.
Format: Preprint
Published: 2025
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author Wang, Yirong
Zhai, Zhongxu
Yang, Xiaohu
Tinker, Jeremy L.
author_facet Wang, Yirong
Zhai, Zhongxu
Yang, Xiaohu
Tinker, Jeremy L.
contents We apply a halo velocity bias model, $γ_{f}$, within the Aemulus simulation suite for General Relativity (GR) to investigate its efficacy in identifying the signature of assembly bias and Modified Gravity (MG). In the investigation of assembly bias, utilizing galaxy clustering data ranging from scales of $0.1 - 60 \text{Mpc}\,h^{-1}$, we discover that our emulator model accurately recreates the cosmological parameters, $Ω_m$ and $σ_8$, along with the velocity bias $γ_{f}$, staying well within the 1-$σ$ error margins, provided that assembly bias is considered. Ignoring assembly bias can considerably alter our model constraints on parameters $Ω_m$ and $σ_8$ if the test sample includes assembly bias. Using our emulator for MG simulations, which encompasses two Dvali-Gabadadze-Porrati models (DGP; N1, N5) and two $f(R)$ models (F4, F6), we can effectively identify a robust signature of modified gravity, for models such as DGP-N1 and $f(R)$-F4, as indicated by a noticeable deviation of $γ_{f}$ from unity. Using the velocity dispersion of dark matter halos to effectively represent the underlying strength of the velocity field of these MG simulations, we find that the simple $γ_{f}$ model can recover the truth with minimal bias. These evaluations indicate that our simple halo-velocity bias model is capable of detecting significant MG characteristics, although additional methodologies should be pursued to improve model constraints.
format Preprint
id arxiv_https___arxiv_org_abs_2506_22737
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exploring the signature of assembly bias and modified gravity using small-scale clusterings of galaxies
Wang, Yirong
Zhai, Zhongxu
Yang, Xiaohu
Tinker, Jeremy L.
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
We apply a halo velocity bias model, $γ_{f}$, within the Aemulus simulation suite for General Relativity (GR) to investigate its efficacy in identifying the signature of assembly bias and Modified Gravity (MG). In the investigation of assembly bias, utilizing galaxy clustering data ranging from scales of $0.1 - 60 \text{Mpc}\,h^{-1}$, we discover that our emulator model accurately recreates the cosmological parameters, $Ω_m$ and $σ_8$, along with the velocity bias $γ_{f}$, staying well within the 1-$σ$ error margins, provided that assembly bias is considered. Ignoring assembly bias can considerably alter our model constraints on parameters $Ω_m$ and $σ_8$ if the test sample includes assembly bias. Using our emulator for MG simulations, which encompasses two Dvali-Gabadadze-Porrati models (DGP; N1, N5) and two $f(R)$ models (F4, F6), we can effectively identify a robust signature of modified gravity, for models such as DGP-N1 and $f(R)$-F4, as indicated by a noticeable deviation of $γ_{f}$ from unity. Using the velocity dispersion of dark matter halos to effectively represent the underlying strength of the velocity field of these MG simulations, we find that the simple $γ_{f}$ model can recover the truth with minimal bias. These evaluations indicate that our simple halo-velocity bias model is capable of detecting significant MG characteristics, although additional methodologies should be pursued to improve model constraints.
title Exploring the signature of assembly bias and modified gravity using small-scale clusterings of galaxies
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
url https://arxiv.org/abs/2506.22737