Testing Hybrid Natural Inflation with BICEP2
  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. 
Mariana Carrillo-Gonzalez, Gabriel German, Alfredo Herrera-Aguilar,   Juan Carlos Hidalgo, Roberto Sussman
astro-ph.CO hep-ph