Precise Reconstruction of a Shower Maximum in the Tunka Radio Extension Experiment

Tunka-Rex is an antenna array located in the Tunka Valley that measures the radio emissions of cosmic ray air showers with energies of up to 100 PeV. In this work, a precise technique for reconstructing a shower maximum from Tunka-Rex data is presented. A model is developed for calculating detector efficiency that considers different parameters: primary particle energy and mass ranges, shower geometry, and detector configuration. The systematic error introduced by the atmosphere in reconstructing a shower’s maximum depth is estimated, and the distribution of the mean shower maximum versus energy is determined.