The energy spectrum of tau leptons induced by the high energy Earth-skimming neutrinos

Details The energy spectrum of tau leptons induced by the high energy Earth-skimming neutrinos The energy spectrum of tau leptons induced by the high energy Earth-skimming neutrinos

2003-05-27

arxiv.org/abs/astro-ph/0305507v1

Phys.Rev. D68 (2003) 063003

Astronomy and Astrophysics

Astrophysics

23 pages, 6 figures

Scientific paper

10.1103/PhysRevD.68.063003

We present a semi-analytic calculation of the tau-lepton flux emerging from the Earth, induced by the incident high energy neutrinos interacting inside the Earth for $10^{5} \leq E_{\nu}/{\rm GeV} \leq 10^{10}$. We obtain results for the energy dependence of the tau-lepton flux coming from the Earth-skimming neutrinos, because of the neutrino-nucleon charged-current scattering as well as the resonant $\bar{\nu}_e e^-$ scattering. We illustrate our results for several anticipated high energy astrophysical neutrino sources such as the AGNs, the GRBs, and the GZK neutrino fluxes. The tau lepton fluxes resulting from rock-skimming and ocean-skimming neutrinos are compared. Such comparisons can render useful information for the spectral indices of incident neutrino fluxes.

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