Parametrization of atmospheric muon angular flux underwater - art. no. 014016

The analytical expression for the angular integral flux of atmospheric muon s in matter with an explicit relation of its parameters with those of the s ea level spectrum is obtained, The fitting formula for the sea level muon s pectrum at different zenith angles for a spherical atmosphere is proposed. The concrete calculations for pure water are presented. Fluctuations of muo n energy losses are taken into account by means of a parametrized correctio n factor calculated using survival probabilities resulting from Monte Carlo simulations. Parametrizations of all continuous energy losses are obtained using the most recent expressions for muon inter action cross sections. Th e corresponding parametrization errors and field of method application are comprehensively discussed. The proposed formulas could be useful primarily for experimentalists processing data of arrays located deep under water or ice.