Reevaluating $H_0$ Tension with Non-Planck CMB and DESI BAO Joint Analysis

Abstract

$H_0$ tension in the spatially flat $\Lambda$CDM model is reevaluated by employing three sets of non-Planck CMB data, namely WMAP, WMAP+ACT, and WMAP+SPT, in conjunction with DESI BAO data and non-DESI BAO datasets including 6dFGS, SDSS DR7, and SDSS DR16. Our analysis yields $H_0 = 68.86\pm 0.68~\mathrm{km\ s^{-1} Mpc^{-1}}$ with WMAP+DESI BAO, $H_0 = 68.72\pm 0.51~\mathrm{km\ s^{-1} Mpc^{-1}}$ with WMAP+ACT+DESI BAO, and $H_0 = 68.62\pm 0.52~\mathrm{km\ s^{-1} Mpc^{-1}}$ with WMAP+SPT+DESI BAO. The results of non-Planck CMB+DESI BAO exhibit a $3.4\sigma$, $3.7\sigma$, and $3.8\sigma$ tension with the SH0ES local measurement respectively which are around $1 \sigma$ lower in significance for the Hubble tension compared to Planck CMB+DESI BAO. Moreover, by combining DESI BAO data+non-Planck CMB measurements, we obtain a more stringent constraint on the Hubble constant compared to non-DESI BAO data+non-Planck CMB data, as well as reducing the significance of the Hubble tension.