Neutrinos, grand unified theories and the hierarchy problem

The Standard Model correctly describes all interactions at (and below) the electroweak scale. However it does not explain the peculiar pattern of quark, lepton and neutrino masses. Also charge quantization is not understood. These are well known motivations to go beyond the Standard Model and to build a Grand Unified Theory. This extension has several good predictions but the proton lifetime is huge compared to similar weak decays. This hierarchy problem suggests two possible extensions of the standard quantum field theory: A non linear version of the Schroedinger functional equation and Third Quantization.