Tensions in the ACDM and vacuum dynamics

Recent analyses of modern cosmological data show that the A = const hypothesis, despite being the canonical framework, might well not be the most favored one from the phenomenological point of view. A number of persisting tensions with the observations (particularly with the data on structure formation and the local measurements of the Hubble parameter) indicate that the concordance or ACDM model of cosmology might be in trouble. The combined fit to SNIa+BAO+H(z)+LSS+BBN+CMB observables shows that the performance of the ACDM is not as good as could be expected, and in fact it may lag behind the fitting outcome from dynamical dark energy (DDE) models. A simple XCDM parameterization seems to perform better than the ACDM. Furthermore, the running vacuum model (RVM) could also be superior in fitting the overall data and in smoothing out some of the mentioned tensions.