Abstract
We present the general discussion on the inflection point inflation with small or large inflaton fields and show the effects of reheating dynamics on the inflationary predictions. In order to compare the model predictions with precisely measured CMB anisotropies and constrain the inflation models, the knowledge of the reheating dynamics is required. Inflection point inflation extended to the trans-Planckian regime can accommodate a sizable tensor-to-scalar ratio at the detectable level in the future CMB experiments.
Highlights
The measurement of Cosmics Microwave Background (CMB) anisotropies in Planck (TT+low-l polarization)[1] shows the spectral index, ns = 0.9652 ± 0.0047 at 95% C.L. and the bound on the tensor-to-scalar ratio at k = 0.002 Mpc−1 as r < 0.10 with no running and r < 0.18 with running at 95% C.L
There was an excitement due to the hint for primordial tensor mode from BICEP2, but there is no more significant excess after the dust estimated from Planck dust data at 353 GHz is subtracted, the posterior probability function peaks at r = 0.05.2 BiCEP2+ Keck array data at 150 GHz are consistent with Planck maps at higher frequencies,[2] leading to the combined bound on the tensor-to-scalar ratio at k = 0.05 Mpc−1 as r < 0.12 at 95% C.L
Lee models with trans-Planckian inflation field values leads to a sizable tensor-to-scalar ratio, so some of them such as quadratic and quartic inflations have been ruled out at more than 95% C.L
Summary
The measurement of Cosmics Microwave Background (CMB) anisotropies in Planck (TT+low-l polarization)[1] shows the spectral index, ns = 0.9652 ± 0.0047 at 95% C.L. and the bound on the tensor-to-scalar ratio at k = 0.002 Mpc−1 as r < 0.10 with no running and r < 0.18 with running at 95% C.L. No large non-Gaussianity is observed, for instance, a local-shape non-Gaussianity is constrained to fNloLcal = 0.8 ± 5.0 from T+E at 68% C.L.,1 so canonical single field inflations are favored. This is an Open Access article published by World Scientific Publishing Company. We briefly remark on the implications of the reheating effects on the running inflation with non-minimal coupling at criticality
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