Gravitino Decay into a Neutrino and a Sneutrino in the Inflationary Universe
arXiv:hep-ph/9408321 · doi:10.1016/0370-2693(94)01644-R
Abstract
Gravitino produced in the inflationary universe are studied. When the gravitino decays into a neutrino and a sneutrino, the emitted high energy neutrinos scatter off the background neutrinos and produce charged leptons (mainly electrons and positrons), which cause the electro-magnetic cascades and produce many soft photons. We obtain the spectra of the high energy neutrinos as well as the spectrum of the high energy photon by integrating a set of Boltzmann equations. Requiring these photons should not alter the abundances of the light elements (D, He, He) in the universe, we can set the stringent upperbound on the reheating temperature after the inflation. We find that GeV for $m_{3/2}\sim (100\GEV - 1\TEV)$, which is more stringent than the constraints in the previous works.
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