Reconstructing Air-Shower Observables using a Universality-Based Model at the Pierre Auger Observatory

Air-Shower Universality is a framework that describes the regularity in the longitudinal, lateral, and energy distributions of electromagnetic shower particles, motivated by solutions to the cascade equations. We employ a universality-based model of shower development that incorporates hadronic particle components to reconstruct observables from extensive air showers produced by ultra-high-energy cosmic rays. The model can estimate key parameters, such as the depth of shower maximum () and the number of muons () at the event level, depending on the input parameters. We present the performance of the reconstruction algorithm using both air-shower simulations, and data from the Pierre Auger Observatory