Cosmological Gravitino Problem in Gauge-Mediated Supersymmetry Breaking Models
arXiv:hep-ph/0005136 · doi:10.1016/S0370-2693(00)00959-X
Abstract
We investigate the cosmological gravitino problem in gauge-mediated supersymmetry breaking models, where the gravitino becomes in general the lightest supersymmetric particle (LSP). In order to avoid the overclosure of the stable gravitino, the reheating temperature of inflation should be low enough. Furthermore, if the gravitino mass is larger than about 100 MeV, the decay of the next-to-LSP (NLSP) into the gravitino may modify disastrously the abundances of the light elements predicted by the big-bang nucleosynthesis (BBN). We consider the case in which the lighter stau is the NLSP and derive cosmological constraints from the BBN on the stau NLSP decay. We obtain a lower bound on the mass of stau $m_{\staul}$, which is more stringent than the current experimental limit $m_{\staul} > 90$ GeV for the gravitino mass region $m_{3/2} \gsim 5$ GeV. This lower bound, together with the overclosure constraint on the stable gravitino, gives an upper bound on . We find that the reheating temperature can be as high as -- GeV for --100 GeV.
15 pages, 3 eps figures; reviced version to be published in Physics Letters B
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