An Analysis of the New LHC Data through the Dispersion Relations

TL;DR

This paper investigates the consistency of LHC data on total cross sections using dispersion relations, analyzing how assumptions affect parameter extraction and comparing different theoretical models.

Contribution

It introduces a comprehensive analysis of LHC scattering data through dispersion relations and compares it with a Regge-trajectory approach, highlighting the impact of phase determination.

Findings

Identified the influence of phase assumptions on cross section extraction

Compared dispersion relation and Regge-trajectory models for hadron scattering

Highlighted the dependence of scattering amplitude slopes on momentum transfer

Abstract

We analyse the tension between the (indirect) measurements of the total cross section, and show the impact of various assumptions on the extraction of the parameters from the elastic scattering amplitude, with a special attention to the total cross section. In particular, the determination of the phase of the elastic scattering amplitude will play an important role, and we shall study it via dispersion relations. We shall also examine the origin of the dependence on momentum transfer of the slopes of the different parts of the scattering amplitude in different models. We shall also give the results of another similar analysis based on a Regge-trajectory approach for the hadron scattering amplitude.