Gravitino-overproduction problem in an inflationary universe

By M. Kawasaki, F. Takahashi, T. Yanagida. 2006

141 citations recorded by the source corpus.

We show that the gravitino-overproduction problem is prevalent among inflation models in supergravity. An inflaton field $\ensuremath{\phi}$ generically acquires (effective) nonvanishing auxiliary field ${\mathcal{G}}_{\ensuremath{\Phi}}^{(\mathrm{eff})}$, if the K\"ahler potential is nonminimal. The inflaton field then decays into a pair of the gravitinos. We extensively study the cosmological constraints on ${\mathcal{G}}_{\ensuremath{\Phi}}^{(\mathrm{eff})}$ for a wide range of the gravitino mass. For many inflation models we explicitly estimate ${\mathcal{G}}_{\ensuremath{\Phi}}^{(\mathrm{eff})}$, and show that the gravitino-overproduction problem severely constrains the inflation models, unless such an interaction as $K=\ensuremath{\kappa}/2|\ensuremath{\phi}{|}^{2}{z}^{2}+\mathrm{H}.\mathrm{c}.$ 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 $\ensuremath{\kappa}\ensuremath{\sim}O(1)$.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/29aac5ae5de353fe3b9823467bce33d00e421b5c

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Non-Thermal Dark Matter and the Moduli Problem in String Frameworks (2008, methodology): “The decay of a modulus to gravitinos can be calculated using the following formula: [19] Γ(X → 2ψ3/2) ≃ |G X |2 288π m(5)X m(2)3/2m 2 p (B.”