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

Abstract

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 $\nu =(1.37_{-0.95}^{+0.72})\times 10^{-4}$ with the best fitted ${\chi }^2$ value slightly smaller than that in the $\Lambda$CDM model.

15 pages, 1 figure, revised version accepted by JCAP

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• Renormalizing the vacuum energy in cosmological spacetime: implications for the cosmological constant problem
• Density perturbations for running vacuum: a successful approach to structure formation and to the ${\sigma }_8$-tension
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• Constraints on a special running vacuum model
• Running vacuum model in non-flat universe
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• Dark Matter Is The New BBN