Reconstruction of IceCube coincident events and study of composition-sensitive observables using both the surface and deep detector

The combined information from cosmic ray air showers that trigger both the surface and underground parts of the IceCube Neutrino Observa- tory allows the reconstruction of both the energy and mass of the primary particle through the knee region of the energy spectrum and above. The properties of high-energy muon bundles, created early in the formation of extensive air showers and capable of penetrating deep into the ice, are related to the primary energy and composition. New methods for reconstructing the direction and composition-sensitive properties of muon bundles are shown. Based on a likelihood minimization pro- cedure using IceCube signals, and accounting for photon propagation, ice properties, and the energy loss processes of muons in ice, the muon bundle energy loss is reconstructed. The results of the high- energy muon bundle reconstruction in the deep ice and the reconstruction of the lateral distribution of low energy particles in the surface detector can be combined to study primary composition and energy. The performance and composition sensitivity for both simulated and experimental data are discussed. Keywords: Cosmic ray composition, IceTop/IceCube, high-energy muon bundles