Constraining cosmological parameters using void statistics from the SDSS survey

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Table 5.

Cosmological constraints from SDSS voids compared to KiDS-1000, DESY3, SDSS voids combined with KiDS-1000, DESY3 and KiDS-1000+DESY3, and Planck 2018.

	SDSS voids	KiDS-1000	DESY3	SDSS+KiDS	SDSS+DESY3	SDSS+KiDS+DESY3	Planck
σ₈	1.520 $_{- 0.441}^{+ 0.416}$ $^{+0.416}_{-0.441}$	0.833 $_{- 0.146}^{+ 0.133}$ $^{+0.133}_{-0.146}$	0.816 $_{- 0.065}^{+ 0.076}$ $^{+0.076}_{-0.065}$	0.859 $_{- 0.051}^{+ 0.050}$ $^{+0.050}_{-0.051}$	0.881 $_{- 0.047}^{+ 0.049}$ $^{+0.049}_{-0.047}$	0.858 $_{- 0.040}^{+ 0.040}$ $^{+0.040}_{-0.040}$	0.8111±0.0060
Ω_m	0.459 $_{- 0.184}^{+ 0.184}$ $^{+0.184}_{-0.184}$	0.270 $_{- 0.102}^{+ 0.056}$ $^{+0.056}_{-0.102}$	0.297 $_{- 0.060}^{+ 0.040}$ $^{+0.040}_{-0.060}$	0.247 $_{- 0.026}^{+ 0.027}$ $^{+0.027}_{-0.026}$	0.256 $_{- 0.023}^{+ 0.024}$ $^{+0.024}_{-0.023}$	0.257 $_{- 0.020}^{+ 0.023}$ $^{+0.023}_{-0.020}$	0.3153±0.0073
H₀	71.63 $_{- 11.70}^{+ 12.60}$ $^{+12.60}_{-11.70}$	75.42 $_{- 2.13}^{+ 1.70}$ $^{+1.70}_{-2.13}$	73.83±4.98	74.20 $_{- 5.18}^{+ 5.05}$ $^{+5.05}_{-5.18}$	74.72 $_{- 5.56}^{+ 5.36}$ $^{+5.36}_{-5.56}$	74.17 $_{- 4.66}^{+ 4.66}$ $^{+4.66}_{-4.66}$	67.36±0.54
S₈	1.87 $_{- 0.76}^{+ 0.59}$ $^{+0.59}_{-0.76}$	0.764 $_{- 0.023}^{+ 0.031}$ $^{+0.031}_{-0.023}$	0.802 $_{- 0.019}^{+ 0.023}$ $^{+0.023}_{-0.019}$	0.775 $_{- 0.019}^{+ 0.020}$ $^{+0.020}_{-0.019}$	0.811 $_{- 0.017}^{+ 0.019}$ $^{+0.019}_{-0.017}$	0.794 $_{- 0.016}^{+ 0.016}$ $^{+0.016}_{-0.016}$	0.832±0.013

Notes. Constraints of σ₈, Ω_m, H₀ (in units of km s⁻¹ Mpc⁻¹) and S $_{8} = σ_{8} \sqrt{Ω_{m} / 0.3}$ $_{8}=\sigma_{8}\sqrt{\Omega_{\mathrm{m}}/0.3}$ for SDSS voids (second column), KiDS-1000 (third column), DESY3 (fourth column) (Dark Energy Survey and Kilo-Degree Survey Collaboration 2023), SDSS voids+KiDS-1000 (fifth column), SDSS+DESY3 (sixth column), SDSS+KiDS-1000+DESY3 (seventh column) and Planck 2018 (Planck Collaboration VI 2020) (last column), with errors calculated as the 68% uncertainties.

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