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We present a new parametrization of the cosmic-ray flux and its masscomposition over an energy range from 10 GeV to $10^{11}$ GeV. Our approach isdata-driven and relies on theoretical assumptions as little as possible. Wecombine measurements of the flux of individual elements from high-precisionsatellites and balloon experiments with indirect measurements of mass groupsfrom the leading air shower experiments. To our knowledge, we provide the firstfit of this kind that consistently takes both statistical and systematicuncertainties into account. The uncertainty on the energy scales of individualexperiments is handled explicitly in our mathematical approach. Part of ourresults is a common energy scale and adjustment factors for the energy scalesof the participating experiments. Our fit has a reduced $\chi^2$-value of 0.5,showing that experimental data are in good agreement, if systematicuncertainties are considered. Our model may serve as a world-average of themeasured fluxes for individual elements from proton to iron from 10 GeV to$10^{11}$ GeV. It is useful as an input for simulations or theoreticalcomputations based on cosmic rays. The experimental uncertainties of the inputdata are captured in a covariance matrix, which can be propagated into derivedquantities.

Data-driven model of the cosmic-ray flux and mass composition from 10 GeV to $10^{11}$ GeV