Observational constraint on the fourth derivative of the inflaton potential
Abstract
We consider the flow-equations for the 3 slow-roll parameters nS (scalar spectral index), r (tensor to scalar ratio), and dnS/dlnk (running of the spectral index). We show that the combination of these flow-equations with the observational bounds from cosmic microwave background and large scale structure allows one to put a lower bound on the fourth derivative of the inflationary potential, MP4(V''''/V) > -0.02.
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