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2014

The Lyth Bound of Inflation with a Tilt

Garcia-Bellido, Juan, Roest, Diederik, Scalisi, Marco et al.

Understand

We provide strong evidence for universality of the inflationary field range: given an accurate measurement of $(n_s,r)$, one can infer $\Delta \phi$ in a model-independent way in the sub-Planckian regime for a range of universality classes of inflationary models.

Both the tensor-to-scalar ratio as well as the spectral tilt are essential for the field range.
Given the Planck constraints on $n_s$, the Lyth bound is strengthened by two orders of magnitude: whereas the original bound gives a sub-Planckian field range for $r \lesssim 2 \cdot 10^{-3}$, we find that $n=0.96$ brings this down to $r \lesssim 2 \cdot 10^{-5}$.