A study of the appearance of tau neutrinos from a gamma ray burst by detecting their horizontal electromagnetic showers

We explore the possibilty of detecting horizontal electromagnetic showers of tau neutrinos from individual gamma ray bursts, in large scale detectors like HiRes and Telescope Array. We study the role of the parameters of a gamma ray burst in determining the expected number of tau events from that burst. The horizontal beam of tau leptons produce visible signals in the atmosphere. We find that there is a slim chance of observing tau lepton appearances from GRBs with Telescope Array. The number of signals is strongly dependent on the Lorentz factor $\Gamma$, redshift $z$ of a GRB, energy emitted in muon neutrinos and antineutrinos $E_{\nu,HE}$ and also on some other parameters of a GRB. It is possible to understand neutrino oscillations in astrophysical neutrinos and the mechanism or model of neutrino production inside a GRB by detection or non detection of tau lepton signals from it.