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The urgency of predictions in large-t region at LHC stimulated us to presenta unified model of small and high t scattering at high energies. Our model isbased upon a safe theoretical ground: analyticity, unitarity, Regge behavior,gluon exchange and saturation of bounds established in axiomatic quantum fieldtheory. We make precise predictions for the behavior of the differential crosssections at high t, the evolution of the dip-shoulder structure localized inthe region of -t between 0.5 and 0.8 GeV**2 and the radical violation of theexponential behavior of the first diffraction cone at small t.

Unified Model for Small-t and High-t Scattering at High Energies: Predictions at RHIC and LHC