Testing Hybrid Natural Inflation with BICEP2

Abstract

We analyse Hybrid Natural Inflation in view of the recent results for the tensor index reported by BICEP2. We find that it predicts a large running of the scalar spectrum which is potentially detectable by large scale structure and $21\mathrm{cm}$ observations. The running of the running is also relatively large becoming close to $10^{-2}$. Along the way, we find general consistency relations at which observables are subject if the slow-roll approximation is imposed. Failure to satisfy these equations by the values obtained for the observables in surveys would be a failure of the slow-roll approximation itself.

arXiv commentV3: Published version

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• Natural Inflation from Polymer Quantization
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• Canonical single field slow-roll inflation with a non-monotonic tensor-to-scalar ratio
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• False vacuum energy dominated inflation with large $r$ and the importance of ${\kappa }_s$
• Multi-field inflation and the field-space metric
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• Bounds for the scale of inflation and the tensor-to-scalar ratio in Hybrid Natural Inflation