Supernova constraints on decaying vacuum cosmology
  There is mounting observational evidence that the expansion of our Universe is undergoing a late-time acceleration. Among many proposals to describe this phenomenon, the cosmological constant seems to be the simplest and the most natural explanation. However, despite its observational successes, such a possibility exacerbates the well known cosmological constant problem, requiring a natural explanation for its small, but nonzero, value. In this paper we consider a cosmological scenario driven by a varying cosmological term, in which the vacuum energy density decays linearly with the Hubble parameter. We show that this model is indistinguishable from the standard one in that the early radiation phase is followed by a long dust-dominated era, and only recently the varying cosmological term becomes dominant, accelerating the cosmic expansion. In order to test the viability of this scenario we have used the most recent type Ia supernova data, i.e., the High-Z SN Search (HZS) Team and the Supernova Legacy Survey (SNLS) Collaboration data. In particular, for the SNLS sample we have found the present matter density and Hubble parameters in the intervals [0.27, 0.37] and [0.68, 0.72], respectively (at 95% c.l.), which is in good agreement with the currently accepted estimates for these parameters. 
S. Carneiro, C. Pigozzo, H. A. Borges, J. S. Alcaniz