Cosmological constraints from angular homogeneity scale measurements

Xiaoyun Shao; Carlos A. P. Bengaly; Rodrigo S. Gonçalves; Gabriela C. Carvalho; Jailson Alcaniz

doi:10.1140/epjc/s10052-025-13987-4

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 225
https://doi.org/10.1140/epjc/s10052-025-13987-4

Regular Article - Theoretical Physics

Cosmological constraints from angular homogeneity scale measurements

Xiaoyun Shao¹^a, Carlos A. P. Bengaly¹, Rodrigo S. Gonçalves¹^,2, Gabriela C. Carvalho³ and Jailson Alcaniz¹

¹ Observatório Nacional, 20921-400, Rio de Janeiro, RJ, Brazil
² Departamento de Física, Universidade Federal Rural do Rio de Janeiro, 23897-000, Seropédica, RJ, Brazil
³ Faculdade de Tecnologia, Universidade do Estado do Rio de Janeiro, 27537-000, Resende, RJ, Brazil

^a xiaoyun48@on.br

Received: 2 November 2024
Accepted: 22 February 2025
Published online: 5 March 2025

Abstract

In this paper, we obtain new measurements of the angular homogeneity scale ( $θ_{H}$ $\theta _H$ ) from the BOSS DR12 and eBOSS DR16 catalogs of Luminous Red Galaxies of the Sloan Digital Sky Survey. Considering the flat $Λ$ $\Lambda$ CDM model, we use the $θ_{H} (z)$ $\theta _H(z)$ data to constrain the matter density parameter ( $Ω_{m 0}$ $\Omega _{m0}$ ) and the Hubble constant ( $H_{0}$ $H_{0}$ ). We find $H_{0} = 65_{- 7}^{+ 10}$ $H_0 = 65^{+10}_{-7}$ km s $^{- 1}$ $^{-1}$ Mpc $^{- 1}$ $^{-1}$ and $Ω_{m 0} > 0.296$ $\Omega _{m0}>0.296$ . By combining the $θ_{H}$ $\theta _H$ measurements with current Baryon Acoustic Oscillations (BAO) and Type Ia Supernova (SN) data, we obtain $H_{0} = 66.8 \pm 5.0$ $H_{0}= 66.8 \pm 5.0$ km s $^{- 1}$ $^{-1}$ Mpc $^{- 1}$ $^{-1}$ and $Ω_{m 0} = 0 . 292_{- 0.015}^{+ 0.013}$ $\Omega _{m0} = 0.292^{+0.013}_{-0.015}$ ( $θ_{H}$ $\theta _H$ + BAO) and $H_{0} = 66.8 \pm 5.4$ $H_{0}=66.8 \pm 5.4$ km s $^{- 1}$ $^{-1}$ Mpc $^{- 1}$ $^{-1}$ and $Ω_{m 0} = 0.331 \pm 0.018$ $\Omega _{m0}=0.331 \pm 0.018$ ( $θ_{H}$ $\theta _H$ + SN). We show that $θ_{H}$ $\theta _H$ measurements help break the BAO and SN degeneracies concerning $H_{0}$ $$H_0$$ , as they do not depend on the sound horizon scale at the drag epoch or the SN absolute magnitude value obtained from the distance ladder method. Hence, despite those constraints are less stringent compared to other probes, $θ_{H}$ $\theta _H$ data may provide an independent cosmological probe of $H_{0}$ $$H_0$$ in light of the Hubble tension. For completeness, we also forecast the constraining power of future $θ_{H}$ $\theta _H$ data via Monte Carlo simulations. Considering a relative error of the order of 1 $%$ $\%$ , we obtain competitive constraints on $Ω_{m 0}$ $\Omega _{m0}$ and $H_{0}$ $$H_0$$ ( $\approx 5 %$ $\approx 5\%$ error) from the joint analysis with current SN and BAO measurements.

© The Author(s) 2025

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