Constraining dynamical dark energy with a divergence-free parametrization in the presence of spatial curvature and massive neutrinos

Hong Li; Xin Zhang

doi:10.1016/j.physletb.2012.06.030

paper

Constraining dynamical dark energy with a divergence-free parametrization in the presence of spatial curvature and massive neutrinos

arXiv:1202.4071 · doi:10.1016/j.physletb.2012.06.030

Abstract

In this paper, we report the results of constraining the dynamical dark energy with a divergence-free parameterization, $w (z) = w_{0} + w_{a} (\frac{l n ( 2 + z )}{1 + z} - ln 2)$ , in the presence of spatial curvature and massive neutrinos, with the 7-yr WMAP temperature and polarization data, the power spectrum of LRGs derived from SDSS DR7, the Type Ia supernova data from Union2 sample, and the new measurements of $H_{0}$ from HST, by using a MCMC global fit method. Our focus is on the determinations of the spatial curvature, $Ω_{k}$ , and the total mass of neutrinos, $\sum m_{ν}$ , in such a dynamical dark energy scenario, and the influence of these factors to the constraints on the dark energy parameters, $w_{0}$ and $w_{a}$ . We show that $Ω_{k}$ and $\sum m_{ν}$ can be well constrained in this model; the 95% CL limits are: $- 0.0153 < Ω_{k} < 0.0167$ and $\sum m_{ν} < 0.56$ eV. Comparing to the case in a flat universe, we find that the error in $w_{0}$ is amplified by 25.51%, and the error in $w_{a}$ is amplified by 0.14%; comparing to the case with a zero neutrino mass, we find that the error in $w_{0}$ is amplified by 12.24%, and the error in $w_{a}$ is amplified by 1.63%.

5 pages, 2 figures; discussions added; accepted for publication in Physics Letters B

Constraining dynamical dark energy with a divergence-free parametrization in the presence of spatial curvature and massive neutrinos

Abstract

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