Synchronous detection of extensive air showers by a HELYCON detector array and a deep sea underwater neutrino telescope: Statistical and systematiceffects

Extensive atmospheric showers observed in coincidence by an underwater neutrino telescope and a HELYCON (HEllenic LYceum Cosmic Observatories Network) floating scintillation array, offer an efficient calibration tool for the angular offset and the absolute position of a deep sea neutrino Cherenkov telescope. We report results of our studies concerning systematic effects and the calibration potential of the proposed techniques in various ν -telescope configurations and detector deployment depths.