One and two dimensional interpolation schemes of atmospheric muon neutrino flux models

High-energy cosmic rays from all directions in space enter the Earth’s atmosphere. Interaction of these cosmic rays in the atmosphere produces secondary particles, including neutrinos. Generally the behavior of atmospheric neutrino flux is accepted as a power-law function type, although the shape varies at different energies and zenith angles. Due to these complications, the fluxes from detailed numerical calculations are reported in energy and zenith angle bins. In this article we propose new interpolation schemes for the flux in energy bins or energy and zenith angle bins for any power-law type function. We apply these schemes to the atmospheric muon neutrino flux model H3a QGSJET-II-4.