Observational constraint on the fourth derivative of the inflaton potential
arXiv:hep-ph/0210095 · doi:10.1046/j.1365-8711.2003.06164.x
Abstract
We consider the flow-equations for the 3 slow-roll parameters n_S (scalar spectral index), r (tensor to scalar ratio), and dn_S/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, M_P^4(V''''/V) > -0.02.
3 pages, 3 figures