TeV Scale Cross-Sections and the Pomeranchuck Singularity

TL;DR

This paper analyzes the singularities in scattering amplitudes at TeV energies, revealing secondary terms in the Froissart bound and the necessity of an odderon to remove ghosts, with implications for high-energy physics.

Contribution

It introduces a detailed analysis of $l$-plane singularities, identifying secondary terms in the Froissart bound and proposing the odderon as a solution to ghost issues.

Findings

Identification of secondary terms in the Froissart bound.

Necessity of an odderon singularity to remove ghosts.

Discussion of phenomenological implications.

Abstract

We have investigated the detailed structure of $l$-plane singularities of scattering amplitude saturating the Froissart bound. A self-consistent analysis of these singularities provides us secondary terms in the Froissart bound. These secondary terms lead to ghosts in the $l$-plane, which can only be removed by introducing an odderon singularity. Phenomenological implications of this analysis are also discussed.