Total cross-section and rapidity gap survival probability at the LHC through an eikonal with soft gluon resummation

TL;DR

This paper presents an improved QCD-based eikonal mini-jet model incorporating soft gluon resummation to predict total cross-sections and survival probabilities at the LHC, with results aligning with many models but differing from those with a hard Pomeron.

Contribution

The paper introduces an enhanced eikonal mini-jet model with soft gluon resummation for accurate total cross-section predictions at the LHC.

Findings

Predicted total cross-section at LHC: 100^{+10}_{-13} mb.

Model predictions align with most existing models.

Computed survival probabilities for Large Rapidity Gap events.

Abstract

New results are presented for total ${\rm pp}/ {\rm \bar p p}$ cross-sections, in the framework of our QCD based model (GGPS). This is an improved eikonal mini-jet model, where soft gluon radiation tames the fast energy rise normally present in mini-jet models. We discuss the variability in our predictions and provide a handy parametrization of our results for the LHC. We find that our model predictions span the range $\sigma_{tot}^{LHC}=100 ^{+10}_{-13} mb$. While this matches nicely with the range of most other models, it does not agree with recent ones which include a "hard" Pomeron, even though our model does include hard scattering. We compute the survival probability for Large Rapidity Gap (LRG) events at the LHC and at the Tevatron. These events are relevant, for example, for Higgs signal in the $WW$ fusion process. We also explore whether measurements of the total cross-sections at the LHC can help us sharpen the model parameters and hence estimates for these survival probabilities, further.