About the Earth density and the neutrino interaction

We visit again the problem to extract information about the mass distribution of the Earth using neutrino collisions with the Earth matter. The topic was addressed in several opportunities using different observable related with the neutrino flux arriving to a neutrino telescope like Ice-Cube. In the present work we have used an observable that is weakly dependent of the initial flux. We check the homogeneity hypothesis and fit a simplified Earth model consistent with the observational value of the Earth mass and the inertia moment.