Constraints on running vacuum model with $H(z)$ and $f\ddot{I}{ƒ}_8$

Abstract

We examine the running vacuum model with $\hat{I}›(H)=3\hat{I}½H^2+\hat{I}{›}_0$, where $\hat{I}½$ is the model parameter and $\hat{I}{›}_0$ is the cosmological constant. From the data of the cosmic microwave background radiation, weak lensing and baryon acoustic oscillation along with the time dependent Hubble parameter $H(z)$ and weighted linear growth $f(z)\ddot{I}{ƒ}_8(z)$ measurements, we find that $\hat{I}½=(1.37_{-0.95}^{+0.72})\times 10^{-4}$ with the best fitted $\ddot{I}{‡}^2$ value slightly smaller than that in the $\hat{I}›$CDM model.

15 pages, 1 figure, revised version accepted by JCAP