Forward Hadronic Scattering from Few Gev to Multi Tev within Regge Theory

The Regge description of forward hadronic scattering is extended from $\sim1\gev$ above each threshold up to the multi TeV range. This is achieved with a simple parametrization, that includes mass effects, a logarithmic growth based on an improved unitarity bound at intermediate energies and a separate factorization of singularities. This parametrization can be easily implemented for phenomenological use, but also sheds light on subdominant trajectories and the Pomeron logarithmic growth law.