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The fluxes of atmospheric muons and neutrinos are calculated by a threedimensional Monte Carlo simulation with the air shower code CORSIKA using thehadronic interaction models DPMJET, VENUS, GHEISHA, and UrQMD. For thesimulation of low energy primary particles the original CORSIKA has beenextended by a parametrization of the solar modulation and a microscopiccalculation of the directional dependence of the geomagnetic cut-off functions.An accurate description for the geography of the Earth has been included by adigital elevation model, tables for the local magnetic field in the atmosphere,and various atmospheric models for different geographic latitudes and annualseasons. CORSIKA is used to calculate atmospheric muon fluxes for differentlocations and the neutrino fluxes for Kamioka. The results of CORSIKA for themuon fluxes are verified by an extensive comparison with recent measurements.The obtained neutrino fluxes are compared with other calculations and theinfluence of the hadronic interaction model, the geomagnetic cut-off and thelocal magnetic field on the neutrino fluxes is investigated.Comment: revtex, 19 pages, 19 Postscript figures, submitted to Phys. Rev.

Simulation of atmospheric muon and neutrino fluxes with CORSIKA