Running Spectral Index from Large-field Inflation with Modulations Revisited

Abstract

We revisit large field inflation models with modulations in light of the recent discovery of the primordial B-mode polarization by the BICEP2 experiment, which, when combined with the Planck + WP + highL data, gives a strong hint for additional suppression of the CMB temperature fluctuations at small scales. Such a suppression can be explained by a running spectral index. In fact, it was pointed out by two of the present authors (TK and FT) that the existence of both tensor mode perturbations and a sizable running of the spectral index is a natural outcome of large inflation models with modulations. We find that this holds also in the recently proposed multi-natural inflation, in which the inflaton potential consists of multiple sinusoidal functions and therefore the modulations are a built-in feature.

14 pages, 6 figures, v2: figures updated, references added, v3: published in Physics Letters B

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• Modified Lyth bound and implications of BICEP2 results
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• Viable Chaotic Inflation as a Source of Neutrino Masses and Leptogenesis
• Axion inflation with cross-correlated axion isocurvature perturbations
• Ambiguity in running spectral index with an extra light field during inflation
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• Warm Modified Chaplygin Gas Shaft Inflation
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• Resolving primordial physics through correlated signatures
• Power spectrum oscillations from Planck-suppressed operators in effective field theory motivated monodromy inflation
• Beginning of Universe through large field hybrid inflation
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