Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-05-26
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).
Kawasaki Masahiro
Takahashi Fuminobu
Yanagida Takayuki
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