Lyth bound of inflation with a tilt
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 ns, the Lyth bound is strengthened by two orders of magnitude: whereas the original bound gives a sub-Planckian field range for r less than or similar to 2 x 10(-3), we find that n(s) = 0.96 brings this down to r less than or similar to 2 x 10(-5).