Constraints on holographic dark energy from type Ia supernova observations

In this paper, we use the type Ia supernovae data to constrain the holographic dark energy model proposed by Li. We also apply a cosmic age test to this analysis. We consider in this paper a spatially flat Friedmann-Robertson-Walker universe with a matter component and a holographic dark energy component. The fit result shows that the case $c<1$ ($c=0.21$) is favored, which implies that the holographic dark energy behaves as a quintom-type dark energy. Furthermore, we also perform a joint analysis of $\mathrm{SNe}+\mathrm{CMB}+\mathrm{LSS}$ to this model; the result is well improved and still upholds the quintom dark energy conclusion. The best fit results in our analysis are $c=0.81$, ${\ensuremath{\Omega}}_{m}^{0}=0.28$, and $h=0.65$, which lead to the present equation of state of dark energy ${w}_{0}=\ensuremath{-}1.03$ and the deceleration/acceleration transition redshift ${z}_{T}=0.63$. Finally, an expected supernova/acceleration probe simulation using $\ensuremath{\Lambda}\mathrm{CDM}$ as a fiducial model is performed on this model, and the result shows that the holographic dark energy model takes on $c<1$ ($c=0.92$) even though the dark energy is indeed a cosmological constant.