We study the scaling properties of the differential cross section of elastic proton-proton (pp) and proton-antiproton (pp̄) collisions at high energies. We introduce a new scaling function, that scales – within the experimental errors – all the ISR data on elastic pp scattering from √s = 23.5–62.5 GeV to the same universal curve. We explore the scaling properties of the differential cross-sections of the elastic pp and pp̄ collisions in a limited TeV energy range. Rescaling the TOTEM pp data from √s = 7 TeV to 2.76 and 1.96 TeV, and comparing it to D0 pp̄ data at 1.96 TeV, our results provide evidence for a t-channel Odderon exchange at TeV energies, with a significance of at least 6.26σ. We complete this work with a model-dependent evaluation of the domain of validity of the new scaling and its violations. We find that the H(x) scaling is valid, model-dependently, within 200 GeV ≤ √s ≤8 TeV, with a t range gradually narrowing with decreasing colliding energies.

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