Investigating the impact of spin effects at the high-energy neutrino-nucleon interactions while it crosses the Earth's core

In this work, we investigate the impact of assuming the polarization of the Earth's outer core on the propagation of neutrinos that cross the all the Earth. We taking into account the spin-dependent structure functions to describe the polarized neutrino-nucleon cross-section, and also on the neutrino absorption while it crosses all of the Earth. We found that adding spin information and simultaneously assuming polarization of Earth's outer core impacts the probability of neutrino absorption in the energy range of 10 - 100 TeV and for upward neutrino direction. However, the magnitude of the effect is small and should be comparable with the magnitude of the errors associated with the IceCube neutrino data.