The Gravitino-Overproduction Problem in Inflationary Universe

Details The Gravitino-Overproduction Problem in Inflationary Universe The Gravitino-Overproduction Problem in Inflationary Universe

2006-05-26

arxiv.org/abs/hep-ph/0605297v2

Phys.Rev. D74 (2006) 043519

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages, 7 figures. v2: minor corrections

Scientific paper

10.1103/PhysRevD.74.043519

We show that the gravitino-overproduction problem is prevalent among inflation models in supergravity. An inflaton field \phi generically acquires (effective) non-vanishing auxiliary field G_\phi, if the K\"ahler potential is non-minimal. The inflaton field then decays into a pair of the gravitinos. We extensively study the cosmological constraints on G_\phi for a wide range of the gravitino mass. For many inflation models we explicitly estimate G_\phi, and show that the gravitino-overproduction problem severely constrains the inflation models, unless such an interaction as K = \kappa/2 |\phi|^2 z^2 + h.c. is suppressed (here z is the field responsible for the supersymmetry breaking). We find that many of them are already excluded or on the verge of, if \kappa \sim O(1).

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