A multitracer analysis for the eBOSS galaxy sample based on the effective field theory of large-scale structure

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Main Authors: Zhao, Ruiyang, Mu, Xiaoyong, Gsponer, Rafaela, Donald-McCann, Jamie, Feng, Yonghao, Zhang, Weibing, Wang, Yuting, Zhao, Gong-Bo, Koyama, Kazuya, Bacon, David, Crittenden, Robert G.
Format: Preprint
Published: 2023
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author Zhao, Ruiyang
Mu, Xiaoyong
Gsponer, Rafaela
Donald-McCann, Jamie
Feng, Yonghao
Zhang, Weibing
Wang, Yuting
Zhao, Gong-Bo
Koyama, Kazuya
Bacon, David
Crittenden, Robert G.
author_facet Zhao, Ruiyang
Mu, Xiaoyong
Gsponer, Rafaela
Donald-McCann, Jamie
Feng, Yonghao
Zhang, Weibing
Wang, Yuting
Zhao, Gong-Bo
Koyama, Kazuya
Bacon, David
Crittenden, Robert G.
contents We perform a multitracer full-shape analysis in Fourier space based on the effective field theory of large-scale structure (EFTofLSS) using the complete Sloan Digital Sky Survey IV (SDSS-IV) extended Baryon Oscillation Spectroscopic Survey (eBOSS) DR16 luminous red galaxy (LRG) and emission line galaxy (ELG) samples. We study in detail the impact of the volume projection effect and different prior choices when doing the full-shape analysis based on the EFTofLSS model. We show that adopting a combination of Jeffreys prior and Gaussian prior can mitigate the volume effect and avoid exploring unphysical regions in the parameter space at the same time, which is crucial when jointly analysing the eBOSS LRG and ELG samples. We validate our pipeline using 1000 eBOSS EZmocks. By performing a multitracer analysis on mocks with comparable footprints, we find that cosmological constraints can be improved by $\sim10-35$ per cent depending on whether we assume zero stochastic terms in the cross power spectrum, which breaks the degeneracy and boosts the constraints on the standard deviation of matter density fluctuation $σ_8$. Combining with the Big Bang Nucleosynthesis (BBN) prior and fixing the spectral tilt $n_s$ to Planck value, our multitracer full-shape analysis measures $H_0=70.0\pm2.3~{\mathrm{km}}~{\mathrm{s}}^{-1}{\mathrm{Mpc}}^{-1}$, $Ω_m=0.317^{+0.017}_{-0.021}$, $σ_8=0.787_{-0.062}^{+0.055}$ and $S_8=0.809_{-0.078}^{+0.064}$, consistent with the Planck~2018 results. In particular, the constraint on $σ_8$ is improved beyond that obtained from the single tracer analysis by $18$ per cent, or by $27$ per cent when assuming zero stochastic terms in the cross power spectrum.
format Preprint
id arxiv_https___arxiv_org_abs_2308_06206
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A multitracer analysis for the eBOSS galaxy sample based on the effective field theory of large-scale structure
Zhao, Ruiyang
Mu, Xiaoyong
Gsponer, Rafaela
Donald-McCann, Jamie
Feng, Yonghao
Zhang, Weibing
Wang, Yuting
Zhao, Gong-Bo
Koyama, Kazuya
Bacon, David
Crittenden, Robert G.
Cosmology and Nongalactic Astrophysics
We perform a multitracer full-shape analysis in Fourier space based on the effective field theory of large-scale structure (EFTofLSS) using the complete Sloan Digital Sky Survey IV (SDSS-IV) extended Baryon Oscillation Spectroscopic Survey (eBOSS) DR16 luminous red galaxy (LRG) and emission line galaxy (ELG) samples. We study in detail the impact of the volume projection effect and different prior choices when doing the full-shape analysis based on the EFTofLSS model. We show that adopting a combination of Jeffreys prior and Gaussian prior can mitigate the volume effect and avoid exploring unphysical regions in the parameter space at the same time, which is crucial when jointly analysing the eBOSS LRG and ELG samples. We validate our pipeline using 1000 eBOSS EZmocks. By performing a multitracer analysis on mocks with comparable footprints, we find that cosmological constraints can be improved by $\sim10-35$ per cent depending on whether we assume zero stochastic terms in the cross power spectrum, which breaks the degeneracy and boosts the constraints on the standard deviation of matter density fluctuation $σ_8$. Combining with the Big Bang Nucleosynthesis (BBN) prior and fixing the spectral tilt $n_s$ to Planck value, our multitracer full-shape analysis measures $H_0=70.0\pm2.3~{\mathrm{km}}~{\mathrm{s}}^{-1}{\mathrm{Mpc}}^{-1}$, $Ω_m=0.317^{+0.017}_{-0.021}$, $σ_8=0.787_{-0.062}^{+0.055}$ and $S_8=0.809_{-0.078}^{+0.064}$, consistent with the Planck~2018 results. In particular, the constraint on $σ_8$ is improved beyond that obtained from the single tracer analysis by $18$ per cent, or by $27$ per cent when assuming zero stochastic terms in the cross power spectrum.
title A multitracer analysis for the eBOSS galaxy sample based on the effective field theory of large-scale structure
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2308.06206