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

Abstract

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 ${\epsilon }_1<0.014(95$ and ${\epsilon }_2=0.034\pm 0.024(1\sigma )$ in the $\Lambda$CDM model. In the framework of dynamical dark energy models, the constraints become obviously weak, ${\epsilon }_1<0.022(95$ and ${\epsilon }_2=-0.006\pm 0.039(1\sigma )$, 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.

arXiv comment5 pages, 2 figures, 1 table, Accepted for publication in Phys.Lett.B

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