Bayesian correction of $H(z)$ cosmic chronometers data with systematic errors

Abstract

We show that the 32 $H(z)$ data from cosmic chronometers have overestimated uncertainties and make use of a Bayesian method to correct and reduce it. We then use the corrected data to constrain flat $\hat{I}›$CDM and O$\hat{I}›$CDM parameters. For the flat $\hat{I}›$CDM model, we got as result $H_0=67.1\pm 4.0$ km s${}^{-1}$ Mpc${}^{-1}$ and $\hat{I}{\text{c◯}}_m=0.333_{-0.057}^{+0.041}$. While for the O$\hat{I}›$CDM model, we found $H_0=67.2\pm 4.8$ km s${}^{-1}$ Mpc${}^{-1}$, $\hat{I}{\text{c◯}}_m=0.36\pm 0.16$ and $\hat{I}{\text{c◯}}_{\hat{I}}›=0.71_{-0.28}^{+0.36}$. These results goes from $22\%$ up to $28\%$ uncertainty reduction when compared to the constraints of the both uncorrected models.