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arXiv · 2607.11286

Determination of the Odderon amplitude in elastic cross-sections at high energies from scaling and analyticity

J. A. velazquez Corral·B. G. Giraud·R. Peschanski·C. Royon
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Abstract

Scaling amplitudes describing $pp$ elastic scattering differential cross-sections in the dip-bump region of momentum transfer at the LHC have been recently derived~\cite{scaling}. We check that the same scaling is verified by the $p\bar p$ cross-section at the highest energy of the Tevatron. Applying the general "energy to phase" relation for a given signature, coming from the analiticity properties inherent to the S-Matrix formalism~\cite{chew}, we derive the scaling amplitude with positive signature (i.e. the Pomeron). Fitting the $pp$ differential cross-sections measured by the TOTEM collaboration leads to some tension with data in the experimental dip observed at moderate momentum transfer. Concentrating the study to the dip/bump region, we are able to determine a contribution of a negative signature amplitude (i.e. the Odderon) leading to a parameter free prediction for the $p\bar p$ differential cross-section which is in agreement with the D0 data. The extraction of the Odderon amplitude in both modulus and phase is then performed and discussed.

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J. A. velazquez Corral, B. G. Giraud, R. Peschanski, C. Royon. 2026-07-13. Determination of the Odderon amplitude in elastic cross-sections at high energies from scaling and analyticity. https://arxiv.org/abs/2607.11286

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