Supernova Neutrino Background Bound on the SFR History
  The purpose of the present study is to compare the predictions of different
models of star formation rate (SFR) history in the universe with the upper
limit of Super Kamiokande for the neutrino background. To this aim we have
calculated the expected neutrino density for the most popular models of SFR
history, Hogg et al. ,Glazebrook et al., Cole et al., Yuksel et al., Hernquist
et al. and Kaplinghat et al. Differerent from previous studies we have used the
$\Lambda$CDM model with $\Omega_{\Lambda} = 0.7$. We have assumed that the
detector used for the detection the neutrino flux is SuperK and also we have
assumed that the electron neutrinos produced in the Supernovae oscillate
equally to the three standard model flavors. By these assumptions all models
stay below the upper limit of SuperK on the event rate and the detection of the
supernova relic neutrino background (SRNB) remains undetected. Future neutrino
detectors such as KM3Net will be able to detect the SRNB and distinguish
between the models of the SFR history.
