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A reanalysis of the latest SH0ES data for H₀: Effects of new degrees of freedom on the Hubble tension

23 Aug 2022arXiv:2208.11169links table onlyarchive 2025-07-28

Leandros Perivolaropoulos, Foteini Skara

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We reanalyze the recently released SH0ES data for the determination of H₀. We focus on testing the homogeneity of the Cepheid+SnIa sample and the robustness of the results in the presence of new degrees of freedom in the modeling of Cepheids and SnIa. We thus focus on the four modeling parameters of the analysis: the fiducial luminosity of SnIa M_B and Cepheids M_W and the two parameters (b_W and Z_W) standardizing Cepheid luminosities with period and metallicity. After reproducing the SH0ES baseline model results, we allow for a transition of the value of any one of these parameters at a given distance D_c or cosmic time t_c thus adding a single degree of freedom in the analysis. When the SnIa absolute magnitude M_B is allowed to have a transition at D_c≃50Mpc (about 160Myrs ago), the best fit value of the Hubble parameter drops from H₀=73.04±1.04 km s⁻¹ Mpc⁻¹ to H₀=67.32±4.64 km s⁻¹ Mpc⁻¹ in full consistency with the Planck value. Also, the best fit SnIa absolute magnitude M_B^> for D>D_c drops to the Planck inverse distance ladder value M_B^>=-19.43±0.15 while the low distance best fit M_B^< parameter remains close to the original distance ladder calibrated value M_B^<=-19.25±0.03. Similar hints for a transition behavior is found for the other three main parameters of the analysis (b_W, M_W and Z_W) at the same critical distance D_c≃50 Mpc even though in that case the best fit value of H₀ is not significantly affected. When the inverse distance ladder constraint on M_B^> is included in the analysis, the uncertainties for H₀ reduce dramatically (H₀= 68.2±0.8 km s⁻¹ Mpc⁻¹) and the M_B transition model is strongly preferred over the baseline SH0ES model (Δχ² ≃-15, ΔAIC ≃-13) according to AIC and BIC model selection criteria.

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