Benchmarks for the Forward Observables at RHIC, the Tevatron-Run II, and the LHC

We present predictions on the total cross sections and on the $\rho$ parameter for present and future $pp$ and $\overline{p}p$ colliders, and on total cross sections for $\gamma p\to \mathrm{\text{hadrons}}$ at cosmic-ray energies and for $\gamma \gamma \to \mathrm{\text{hadrons}}$ up to $\sqrt{s}=1\mathrm{T}\mathrm{e}\mathrm{V}$. These predictions are based on an extensive study of possible analytic parametrizations invoking the largest hadronic dataset available at $t=0$. The uncertainties on total cross sections reach $1.9\%$ at the Relativistic Heavy Ion Collider, $3.1\%$ at the Tevatron, and $4.8\%$ at the Large Hadron Collider, whereas those on the $\rho$ parameter are, respectively, $5.4\%$, $5.2\%$, and $5.4\%$.