Measuring the 13-mixing angle and the CP phase with neutrino telescopes

Abstract

The observed excess of high-energy cosmic rays from the Galactic plane in the energy range \sim 10^18 eV may be naturally explained by neutron primaries generated in the photo-dissociation of heavy nuclei. In this scenario, neutrons with lower energy decay before reaching the Earth and produce a detectable flux in a 1 km^3 neutrino telescope. The initial flavor composition of these neutrinos, \phi(\bar\nu_e):\phi(\bar\nu_\mu):\phi(\bar\nu_\tau)=1:0:0, offers the opportunity to perform a combined \bar\nu_\mu/\bar\nu_\tau appearance and \bar\nu_e disappearance experiment. The observable ratio \phi(\bar\nu_\mu)/\phi(\bar\nu_e+\bar\nu_\tau) of fluxes arriving on Earth depends appreciably on the 13-mixing angle \theta_13 and the leptonic CP phase \delta_CP, opening thus a new experimental avenue to measure these two quantities.