Analytical description of muon distributions at large depths

Abstract

The analytical expression for integral energy spectra and zenith angle distributions of atmospheric muons at large depths is derived. Fluctuations of muon energy losses are described using the parametrized correction factor. The fitting formula for the sea level muon spectrum at different zenith angles for spherical atmosphere is proposed. The concrete calculations for pure water are presented.Comment: Contribution to the 27th ICRC (Hamburg, August 7-15, 2001), 4 pages, 3 .eps figures, uses icrc.cl