Total and inelastic cross-sections at LHC at CM energy of 7 TeV and beyond

TL;DR

This paper predicts total and inelastic cross-sections at LHC energies using an eikonal minijet model with soft gluon resummation, aligning well with recent experimental data and emphasizing uncorrelated process contributions.

Contribution

It introduces a detailed eikonal minijet model with soft gluon resummation to predict cross-sections at high energies, supported by LHC data.

Findings

Predicted cross-sections encompass recent LHC measurements.

Two-channel eikonal models suggest inelastic processes are uncorrelated.

Model predictions are consistent with experimental data.

Abstract

We discuss expectations for the total and inelastic cross-sections at LHC CM energies $\sqrt{s}\ =\ 7\ TeV$ {and $ 14\ TeV$} obtained in an eikonal minijet model augmented by soft gluon $k_t$-resummation, which we describe in some detail. We present a band of predictions which encompass recent LHC data and suggest that the inelastic cross-section described by two channel eikonal models include only uncorrelated processes. We show that this interpretation of the model is supported by the LHC data.