Amplitudes and Cross Sections at the LHC

TL;DR

This paper presents the GLM model for soft hadronic interactions at LHC energies, based on a single Pomeron, successfully matching perturbative QCD and analyzing various diffractive processes.

Contribution

The paper introduces the GLM model with a single Pomeron characterized by specific parameters, providing a natural link to perturbative QCD and comparing it with other models.

Findings

The GLM model describes elastic and diffractive amplitudes effectively.

It matches well with experimental data from ISR to LHC energies.

Comparison shows the model's advantages over other parameterizations.

Abstract

We describe the elements of the GLM model that successfully describes soft hadronic interactions at energies from ISR to LHC. This model is based on a single Pomeron with a large intercept $\Delta_{\pom}$ = 0.23 and slope $\alpha_{\pom}'$ = 0, and so provides a natural matching with perturbative QCD. We analyze the elastic, single diffractive and double diffractive amplitudes, and compare the behaviour of the GLM amplitudes to those of other parameterizations. We summarize the main features and results of competing models for soft interactions at LHC energies.