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IceCube is a cubic-kilometer Cherenkov telescope operating at the South Pole.The main goal of IceCube is the detection of astrophysical neutrinos and theidentification of their sources. High-energy muon neutrinos are observed viathe secondary muons produced in charge current interactions with nuclei in theice. Currently, the best performing muon track directional reconstruction isbased on a maximum likelihood method using the arrival time distribution ofCherenkov photons registered by the experiment's photomultipliers. A knownsystematic shortcoming of the prevailing method is to assume a continuousenergy loss along the muon track. However at energies $>1$ TeV the light yieldfrom muons is dominated by stochastic showers. This paper discusses ageneralized ansatz where the expected arrival time distribution is parametrizedby a stochastic muon energy loss pattern. This more realistic parametrizationof the loss profile leads to an improvement of the muon angular resolution ofup to $20\%$ for through-going tracks and up to a factor 2 for starting tracksover existing algorithms. Additionally, the procedure to estimate thedirectional reconstruction uncertainty has been improved to be more robustagainst numerical errors.

A muon-track reconstruction exploiting stochastic losses for large-scale Cherenkov detectors