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arxiv: hep-ph/0210095 · v1 · submitted 2002-10-07 · ✦ hep-ph · astro-ph

Observational constraint on the fourth derivative of the inflaton potential

classification ✦ hep-ph astro-ph
keywords derivativeflow-equationsfourthindexobservationalpotentialscalarspectral
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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.

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