The structure and analytic properties of the scattering amplitude at LHC energies

TL;DR

This paper reviews elastic proton-proton scattering at LHC energies, comparing experimental data with models, and discusses how assumptions affect the extraction of scattering parameters and total cross section estimates.

Contribution

It introduces a comparison between the HEGS model and phenomenological parametrisations with new LHC data, highlighting non-exponential behaviors in the differential cross sections.

Findings

Detection of non-exponential behavior in the differential cross sections

Analysis of the influence of assumptions on parameter extraction

Comparison of models with experimental data

Abstract

Elastic proton-proton scattering is reviewed starting from the results of the LHC experiments conducted by the TOTEM and ATLAS collaborations, and the HEGS model and a simple phenomenological parametrisation are compared with the new data on the differential elastic proton-proton scattering cross section, which detect a non-exponential behaviour of the differential cross sections in the first diffraction cone. We consider the influence of various assumptions on the extraction of the elastic scattering parameters, and on the deduction of the total cross section.