Forward hadronic scattering from few GeV to multi TeV within Regge theory

The Regge description of forward hadronic scattering is extended from about 1 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 sub-dominant trajectories and the Pomeron logarithmic growth law. (author)