Uncertainty in mean $X_{\mathrm{m}\mathrm{a}\mathrm{x}}$ from diffractive dissociation estimated using measurements of accelerator experiments

Mass composition is important for understanding the origin of ultra-high-energy cosmic rays. However, interpretation of mass composition from air shower experiments is challenging, owing to significant uncertainty in hadronic interaction models adopted in air shower simulation. A particular source of uncertainty is diffractive dissociation, as its measurements in accelerator experiments demonstrated significant systematic uncertainty. In this research, we estimate the uncertainty in $⟨X_{\mathrm{m}\mathrm{a}\mathrm{x}}⟩$ from the uncertainty of the measurement of diffractive dissociation by the ALICE experiment. The maximum uncertainty size of the entire air shower was estimated to be ${}_{-5.6}^{+4.0}\mathrm{g}\mathrm{/}\mathrm{c}{\mathrm{m}}^2$ for air showers induced by ${10}^{17}$ eV proton, which is not negligible in the uncertainty of $⟨X_{\mathrm{m}\mathrm{a}\mathrm{x}}⟩$ predictions.