  In this paper, we discuss the possibilities offered to neutrino physics by
the upgrades of the CERN accelerator complex. Emphasis is on the physics reach
of a medium $\gamma$ (350-580) $\beta$-beam that fully exploits the
improvements in the CERN accelerator complex for the luminosity/energy upgrade
of the LHC. We show that, this design not only profits of the ongoing efforts
for the upgrades of the LHC, but also leverage out the existing infrastructures
of the LNGS underground laboratory. Furthermore, given the involved high
neutrino energies, above 1 GeV, a non-magnetized iron detector could
efficiently exploit the neutrino beam.
  We show that the performance of this complex for what concerns the discovery
of the CP violation in the leptonic sector, in case $\theta_{13}$ is discovered
by Phase I experiments, is comparable with the current baseline design based on
a gigantic water Cherenkov at Frejus. Furthermore, this complex has also some
sensitivity to the neutrino mass hierarchy.
