Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies

We study the scaling properties of the differential cross section of elastic proton–proton ( pp ) and proton–antiproton ( p p ¯ ) 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 p p ¯ 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 p p ¯ data at 1.96 TeV, our results provide an evidence for a t -channel Odderon exchange at TeV energies, with a significance of at least 6.26 σ . 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.