On the Hubble constant tension in the SNe Ia Pantheon sample

Abstract

The Hubble constant ($H_0$) tension between Type Ia Supernovae (SNe Ia) and Planck measurements ranges from 4 to 6 $\sigma$. To investigate this tension, we estimate $H_0$ in the $\Lambda$CDM and $w_0{w}_a$CDM models by dividing the Pantheon sample, the largest compilation of SNe Ia, into 3, 4, 20 and 40 bins. We fit the extracted $H_0$ values with a function mimicking the redshift evolution: $g(z)=H_0(z)={\tilde{H}}_0/(1+z{)}^{\alpha }$, where $\alpha$ indicates an evolutionary parameter and ${\tilde{H}}_0=H_0$ at $z=0$. We set the absolute magnitude of SNe Ia so that $H_0=73.5{\text{km s}}^{-1}{\text{Mpc}}^{-1}$, and we fix fiducial values for ${\Omega }_{0m}^{\Lambda CDM}=0.298$ and ${\Omega }_{0m}^{w_0{w}_{a}CDM}=0.308$. We find that $H_0$ evolves with redshift, showing a slowly decreasing trend, with $\alpha$ coefficients consistent with zero only from 1.2 to 2.0 $\sigma$. Although the $\alpha$ coefficients are compatible with 0 in 3 $\sigma$, this however may affect cosmological results. We measure locally a variation of $H_0(z=0)-H_0(z=1)=0.4{\text{km s}}^{-1}{\text{Mpc}}^{-1}$ in 3 and 4 bins. Extrapolating $H_0(z)$ to $z=1100$, the redshift of the last scattering surface, we obtain values of $H_0$ compatible in 1 $\sigma$ with Planck measurements independently of cosmological models and number of bins we investigated. Thus, we have reduced the $H_0$ tension from $54\%$ to $72\%$ for the $\Lambda$CDM and $w_0{w}_a$CDM models, respectively. If the decreasing trend of $H_0(z)$ is real, it could be due to astrophysical selection effects or to modified gravity.

arXiv comment20 pages, 6 figures, 1 table; With corrected proofs and bibliography, to be published in ApJ

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• Theoretical and observational constraints on early dark energy in $F(R)$ gravity
• Running Hubble Constant with the Redshift as a Marker of Evolutionary Dark Energy
• Sample Variance for Supernovae Distance Measurements and the Hubble tension
• Explaining lepton-flavor non-universality and self-interacting dark matter with $L_{\mu }-L_{\tau }$