  To explain the high-energy astrophysical neutrino flux with energies $\sim
PeV$ recently observed by IceCube collaboration and the relic abundance of DM
in the Universe, we consider the minimal 4-dimensional operator $\sim y_{\alpha
\chi}\overline{{L_{L_{\alpha}}}}\, H\, \chi$. The cosmological background is
assumed to evolve according to $f({\cal T})$ cosmology, where ${\cal T}$ is the
scalar torsion.
