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Measuring the 13-mixing angle and the CP phase with neutrino telescopes
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.Comment: 4 pages, 2 eps figures. Enlarged discussion, references added.
Matches version to appear in PR
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