In this paper, we use the joint measurement of geometry and growth rate from matter density perturbations to constrain the holographic dark energy model. The geometry measurement includes type Ia supernovae (SN Ia) Union2.1, full information of cosmic microwave background from WMAP-7 yr, and baryon acoustic oscillation. For the growth rate of matter density perturbations, the results $f(z){\sigma }_8(z)$ measured from the redshift-space distortion in the galaxy power spectrum are employed. Via the Markov chain Monte Carlo method, we try to constrain the model parameter space. The jointed constraint shows that $c={0.750}_{-0.0999-0.173-0.226}^{+0.0976+0.215+0.319}$ and ${\sigma }_8={0.763}_{-0.0465-0.0826-0.108}^{+0.0477+0.0910+0.120}$ with 1, 2, $3\sigma$ regions. After marginalizing the other irrelevant model parameters, we show the evolution of the equation of state of holographic dark energy with respect to the redshift $z$. Though the current cosmic data points favor a phantomlike holographic dark energy universe in the future for the mean values of the model parameters, it can behave like quintessence in $3\sigma$ regions.

• Received 7 December 2012

DOI:https://doi.org/10.1103/PhysRevD.87.043525