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 ( pp̅ ) 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 pp̅ 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 pp̅ 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.