An Informational Approach to Cosmological Parameter Estimation

Abstract

We introduce a new approach for cosmological parameter estimation based on the information-theoretical Jensen-Shannon divergence (${\mathcal{D}}_{\mathrm{JS}}$), calculating it for models in the restricted parameter space $\{H_0,w_0,w_a\}$, where $H_0$ is the value of the Hubble constant today, and $w_0$ and $w_a$ are dark energy parameters, with the other parameters held fixed at their best-fit values from the Planck 2018 data. As an application, we investigate the $H_0$ tension between the Planck temperature power spectrum data (TT) and the local astronomical data by comparing the $\Lambda$CDM model with the $w$CDM and the $w_0{w}_a$CDM dynamic dark energy models. We find agreement with other works using the standard Bayesian inference for parameter estimation; in addition, we show that while the ${\mathcal{D}}_{\mathrm{JS}}$ is equally minimized for both values of $H_0$ along the $(w_0,w_a)$ plane, the lines of degeneracy are different for each value of $H_0$. This allows for distinguishing between the two, once the value of either $w_0$ or $w_a$ is known.

arXiv comment5 pages, 3 figures. Final version accepted for publication in Physical Review D. Includes a new error analysis, a new figure, additional references, and a new author

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