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Wiggly Whipped Inflation

Motivated by BICEP2 results on the CMB polarization B-mode which imply primordial gravitational waves are produced when the Universe has the expansion rate of about $H \approx 10^{14}$ GeV, and by deviations from a smooth power-law behaviour for multipoles $\ell <50$ in the CMB temperature anisotropy power spectrum found in the WMAP and Planck experiments, we have expanded our class of large field inflationary models that fit both the BICEP2 and Planck CMB observations consistently. These best-fitted large field models are found to have a transition from a faster roll to the slow roll $V(ϕ)=m^2 ϕ^2/2$ inflation at a field value around 14.6~${\rm M_{Pl}}$ and thus a potential energy of $V(ϕ) \sim (10^{16}\,{\rm GeV})^4$. In general this transition with sharp features in the inflaton potential produces not only suppression of scalars relative to tensor modes at small $k$ but also introduces wiggles in the primordial perturbation spectrum. These wiggles are shown to be useful to explain some localized features in the CMB angular power spectrum and can also have other observational consequences. Thus, primordial GW can be used now to make a tomography of inflation determining its fine