Observational constraints on the inflaton potential combined with flow-equations in inflaton space

Details Observational constraints on the inflaton potential combined with flow-equations in inflaton space Observational constraints on the inflaton potential combined with flow-equations in inflaton space

2001-09-26

arxiv.org/abs/hep-ph/0109252v2

Mon.Not.Roy.Astron.Soc. 336 (2002) 1007-1010

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 2 figures. Important sign mistake corrected. Conclusions, abstract and discussion changed

Scientific paper

10.1046/j.1365-8711.2002.05855.x

Direct observations provide constraints on the first two derivatives of the inflaton potential in slow roll models. We discuss how present day observations, combined with the flow equations in slow roll parameter space, provide a non-trivial constraint on the third derivative of the inflaton potential. We find a lower bound on the third derivative of the inflaton potential V'''/V > -0.2. We also show that unless the third derivative of the inflaton potential is unreasonably large, then one predicts the tensor to scalar ratio, r, to be bounded from below r > 3 * 10^{-6}.

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