Pantheon+ tomography and Hubble tension. (arXiv:2207.10927v6 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Wang_D/0/1/0/all/0/1">Deng Wang</a>

The recently released Type Ia supernovae (SNe Ia) sample, Pantheon+, is an
updated version of Pantheon and has very important cosmological implications.
To explore the origin of the enhanced constraining power and internal
correlations of datasets in different redshifts, we perform a comprehensively
tomographic analysis of the Pantheon+ sample without and with the Cepheid host
distance calibration, respectively. For both cases, after dividing the sample
to 10 bins, we find that the first bin in the redshift range $zin[0.00122, ,
0.227235]$ dominates the constraining power of the whole sample and there is no
evidence of evolution of the Hubble constant $H_0$ and and the matter fraction
$Omega_m$. The inclusion of the SH0ES calibration can significantly compress
the parameter space of background dynamics of the universe and reduces the
constrained values of $Omega_m$ in each bin. Interestingly, a possible local
solution of current $H_0$ tension is provided by the third bin, which gives
$H_0=71.6pm4.4$ km s$^{-1}$ Mpc$^{-1}$. When not considering the calibration,
combining the Pantheon+ sample with cosmic microwave background, baryon
acoustic oscillations, cosmic chronometers, galaxy clustering and weak lensing
data, we give the strongest $1,sigma$ constraint $H_0=67.88pm0.42$ km
s$^{-1}$ Mpc$^{-1}$. However, the addition of the calibration leads to a global
shift of the parameter space from the combined constraint and
$H_0=68.66pm0.42$ km s$^{-1}$ Mpc$^{-1}$, which is inconsistent with the
Planck-2018 result at about $2,sigma$ confidence level.

The recently released Type Ia supernovae (SNe Ia) sample, Pantheon+, is an
updated version of Pantheon and has very important cosmological implications.
To explore the origin of the enhanced constraining power and internal
correlations of datasets in different redshifts, we perform a comprehensively
tomographic analysis of the Pantheon+ sample without and with the Cepheid host
distance calibration, respectively. For both cases, after dividing the sample
to 10 bins, we find that the first bin in the redshift range $zin[0.00122, ,
0.227235]$ dominates the constraining power of the whole sample and there is no
evidence of evolution of the Hubble constant $H_0$ and and the matter fraction
$Omega_m$. The inclusion of the SH0ES calibration can significantly compress
the parameter space of background dynamics of the universe and reduces the
constrained values of $Omega_m$ in each bin. Interestingly, a possible local
solution of current $H_0$ tension is provided by the third bin, which gives
$H_0=71.6pm4.4$ km s$^{-1}$ Mpc$^{-1}$. When not considering the calibration,
combining the Pantheon+ sample with cosmic microwave background, baryon
acoustic oscillations, cosmic chronometers, galaxy clustering and weak lensing
data, we give the strongest $1,sigma$ constraint $H_0=67.88pm0.42$ km
s$^{-1}$ Mpc$^{-1}$. However, the addition of the calibration leads to a global
shift of the parameter space from the combined constraint and
$H_0=68.66pm0.42$ km s$^{-1}$ Mpc$^{-1}$, which is inconsistent with the
Planck-2018 result at about $2,sigma$ confidence level.

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