The scaling Pomeron

TL;DR

This paper investigates the Regge theory properties of the Pomeron in proton-proton elastic scattering at LHC energies, deriving a scaling amplitude that fits experimental data in the dip-bump region.

Contribution

It derives a positive signature amplitude with scaling properties within Regge theory, explaining the dip-bump structure observed at the LHC.

Findings

The amplitude describes the dip-bump region at LHC energies.

The analytic continuation of partial waves reveals poles at fractional values.

The amplitude exhibits a specific scaling property without singularities.

Abstract

We examine the Regge theoretical properties for the scaling observed in pp elastic scattering differential cross-sections at the LHC. A positive signature amplitude (i.e. the Pomeron) with scaling properties has been derived. It is found to describe the dip-bump region of momentum transfer at LHC energies in agreement with data. We derive the analytic continuation in the whole plane of the t-channel partial waves of index $l_t$ specific to the Regge formalism. The analytic form of the amplitude exhibits a specific scaling property without singularities, except for a series of poles in the $l_t$ real axis at fractional values.