Ultrahigh energy tau neutrinos: propagation and tau energy loss

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Astrophysical sources of ultrahigh energy cosmic rays may also be sources of ultrahigh energy neutrinos, including tau neutrinos from νμ->ντ oscillations over astrophysical distances. A mountain or small column depth of Earth acts as a neutrino converter for ντ->τ, and a tau decay in the atmosphere, after it has emerged from the Earth, produces an air shower. We evaluate ντ and τ propagation through 10-100 km of rock using a stochastic evaluation of ντ->τ conversion and tau electromagnetic energy loss. We compare our results with the analytic approaches commonly used to estimate air shower event rates. We find that the analytic approach typically does well only for Eτ<10^10 GeV. We discuss the implications for recent analytic evaluations of shower event rates.

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