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We present predictions on the total cross sections and on the ratio of the real part to the imaginary part of the elastic amplitude (ρ parameter) for present and future pp and p \( \bar p \) colliders, and on total cross sections for γp → hadrons at cosmic-ray energies and for γγ → hadrons up to √s = 1 TeV. These predictions are based on a study of many possible analytic parametrisations and invoke the current hadronic dataset at t = 0. The uncertainties on total cross sections, including the systematic theoret ical errors, reach 1% at RHIC, 3% at the Tevatron, and 10% at the LHC, whereas those on the ρ parameter are respectively 10%, 17%, and 26%.

Forward Observables at RHIC, the Tevatron Run II and the LHC