Constraints on running vacuum model with $H(z)$ and $f \sigma_8$
  We examine the running vacuum model with $\Lambda (H) = 3 \nu H^2 +
\Lambda_0$, where $\nu$ is the model parameter and $\Lambda_0$ 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 $f (z)\sigma_8(z)$
measurements, we find that $\nu=(1.37^{+0.72}_{-0.95})\times 10^{-4}$ with the
best fitted $\chi^2$ value slightly smaller than that in the $\Lambda$CDM
model.
