Evaluating TAU-neutrino energy and direction from its shower observables to estimate the number of events by the proposed array

The detection of Ultra High Energy Cosmic Rays (UHECRs) is an important study in the area of Astroparticle Physics. The air showers having a wide range of energies consist of electromagnetic, muonic and hadronic components which travel in different directions. Since neutrinos having no charge and very small mass interact weakly with matter, they carry the direction information unlike other possible primary cosmic rays (protons, ions, etc.). While the UHE neutrinos travels 1/13 of Earth diameter in Earth crust, they interact with the rock to produce the tau lepton which subsequently create a shower just before it emerges from the crust. The main idea of TAUWER (Tau-Neutrino Multitower Detector Experiment) array is to observe the large angle showers around horizon created by tau decays which produced with charge current interactions of tau neutrinos through the Earth Skimming method and mountain chain screen strategy. The observation of the air showers initiated in Earth crust or mountain chains is a novel idea, is also very effective method to remove interactions with the unwanted sources. In this study the look-up table is produced for the tau neutrino induced showers including 5 different decay modes in 5 different energies with 4 different development lengths with THIN ON selection about 8000 and without THIN ON selection 900 showers simulated using CORSIKA (COsmic Ray SImulations for KAscade) program. They are analyzed to correlate the distribution of electromagnetic, muonic and hadronic components with energy and particle density to reconstruct the shower energies. The location of the stations with the arrival time information of the particles are used to determine the direction of the induced showers. The difference between the calculated and simulated zenith and azimuthal angles are below 0.5 degree for all simulated energies and development lengths. In addition, the expected number of the events for TAUWER array are estimated as 0.17, 0.25, and 0.43 events per year from latest neutrino flux upper limits using both Earth Skimming method and mountain chain screen strategy. The results of these analysis will be advisory on the optimization of detector array, the placements of detectors, and the determination of the trigger for different characteristic of the showers as energy, the development length and the decay mode.