Running vacuum versus Holographic dark energy: a cosmographic comparison

Understand

We perform a comparative study of different types of dynamical dark energy models (DDES) using the cosmographic method.

• Among the models being examined herein we have the Running Vacuum models (RVMs), which have demonstrated considerable ability to fit the overall cosmological data at a level comparable to the standard cosmological model, $\Lambda$CDM, and capable of alleviating the $\sigma_8$ and $H_0$ tensions.
• At the same time we address a variety of Holographic dark energy models (HDEs) with different options for the time (redshift)-varying model parameter $c=c(z)$.
• We deal with the HDEs under the double assumption of fixed and evolving holographic length scale and assess which one is better.