Constraining Slow-Roll Inflation in the Presence of Dynamical Dark Energy

Details Constraining Slow-Roll Inflation in the Presence of Dynamical Dark Energy Constraining Slow-Roll Inflation in the Presence of Dynamical Dark Energy

2007-12-16

arxiv.org/abs/0712.2570v2

Phys.Lett.B660:287-292,2008

Astronomy and Astrophysics

Astrophysics

5 pages, 2 figures, 1 table, Accepted for publication in Phys.Lett.B

Scientific paper

10.1016/j.physletb.2008.01.010

In this paper we perform a global analysis of the constraints on the inflationary parameters in the presence of dynamical dark energy models from the current observations, including the three-year Wilkinson Microwave Anisotropy Probe (WMAP3) data, Boomerang-2K2, CBI, VSA, ACBAR, SDSS LRG, 2dFGRS and ESSENCE (192 sample). We use the analytic description of the inflationary power spectra in terms of the Horizon-flow parameters $\{\epsilon_i\}$. With the first order approximation in the slow-roll expansion, we find that the constraints on the Horizon-flow parameters are $\epsilon_1<0.014 (95% C.L.)$ and $\epsilon_2=0.034\pm0.024 (1\sigma)$ in the $\Lambda$CDM model. In the framework of dynamical dark energy models, the constraints become obviously weak, $\epsilon_1<0.022 (95% C.L.)$ and $\epsilon_2=-0.006\pm0.039 (1\sigma)$, and the inflation models with a "blue" tilt, which are excluded about $2\sigma$ in the $\Lambda$CDM model, are allowed now. With the second order approximation, the constraints on the Horizon-flow parameters are significantly relaxed further. If considering the non-zero $\epsilon_3$, the large running of the scalar spectral index is found for the $\Lambda$CDM model, as well as the dynamical dark energy models.

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