Tau neutrino propagation and tau energy loss

Abstract

Electromagnetic energy loss of tau leptons is an important ingredient for eventual tau neutrino detection from high energy astrophysical sources. Proposals have been made to use mountains as neutrino converters, in which the emerging tau decays in an air shower. We use a stochastic evaluation of both tau neutrino conversion to taus and of tau electromagnetic energy loss. We examine the effects of the propagation for mono-energetic incident tau neutrinos as well as for several neutrino power-law spectra. Our main result is a parameterization of the tau electromagnetic energy loss parameter beta. We compare our analytic expression for the tau flux using this beta with other parameterizations of beta.

10 pages, 13 figures, significant revision and correction of section on analytic approximations to the tau flux result, revised Figs. 7-13

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• Earth-skimming UHE Tau Neutrinos at the Fluorescence Detector of Pierre Auger Observatory
• Ultra High Energy ${\nu }_{\tau }$ Detection Using Cosmic Ray Tau Neutrino Telescope Used in Fluorescence/Cerenkov Light Detection

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