Consequences of Modified Cosmologies in DM abundance and PeV IceCube signals

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 $f(\mathcal{T})$ cosmology, where $\mathcal{T}$ is the scalar torsion.