Unified model for small-t and high-t scattering at high energies:: predictions at RHIC and LHC

The urgency of predictions in the large-t region at LHC stimulated us to present a unified model of small-and high-t scattering at high energies. Our model is based on safe theoretical ground: analyticity, unitarity, Regge behavior, gluon exchange and saturation of bounds established in axiomatic quantum field theory. We make precise predictions for the behavior of the differential cross sections at high t, the evolution of the dip-shoulder structure localized in the region 0.5 less than or similar to vertical bar t vertical bar less than or similar to 0.8GeV(2) and the radical violation of the exponential behavior of the first diffraction cone at small t.