Atmospheric Neutrino Spectra: A Statistical Analysis of Calculations in Comparison with Experiment

Abstract

A statistical analysis is performed to compare calculated spectra of atmospheric neutrinos and measuring data obtained in the Frejus, AMANDA-II, IceCube, ANTARES, and Super-Kamiokande experiments. Atmospheric neutrino spectra are calculated with a certain computational scheme for set of models of hadron–nuclear interaction also used in the EAS simulation. Standard criterion χ$^{2}$ is used to compare the calculated energy spectra and the experimental values. The analysis allows one to estimate the statistical significance level of various models according to their agreement with measurements of different experiments