Atmospheric geodesic controls on muon rate: a numerical study based on Corsika

Muon rate models play a key role in converting measured data into direct informations from detector calibration to density images extraction. A given experiment requires a proper modelization of the muon flux taking into account its position and atmospherics conditions. Two approaches are commonly used~: either through semi-empirical models calibrated at best on existing data and extrapolated to the field experiment conditions or via Monte-Carlo simulations. The latter offer the advantage to tackle down in a single approach all parameters, such as barometric conditions, geomagnetic field, atmosphere density etc. All these approaches remain less reliable when dealing with muons close to the horizon, a major motivation that triggers the present study based on the CORSIKA simulation framework.