# Inelastic cross-section and Survival Probabilities at LHC in mini-jet models

## TL;DR

This paper compares LHC hadronic cross-section data with mini-jet models and empirical models, analyzing the impact of soft gluon resummation on cross-section rise and estimating survival probabilities at high energies.

## Contribution

It introduces a detailed analysis of inelastic cross-sections and survival probabilities using a mini-jet model with soft gluon resummation, revisiting previous calculations to clarify discrepancies.

## Key findings

- Soft gluon resummation moderates mini-jet cross-section rise.
- Estimated survival probabilities at LHC range from 10% to a few per mille.
- Comparison shows differences between models and previous estimates.

## Abstract

Recent results for the total and inelastic hadronic cross-sections from LHC experiments are compared with predictions from a single channel PDF driven eikonal mini-jet model and from an empirical model. The role of soft gluon resummation in the infrared region in taming the rise of mini-jets and their contribution to the increase of the total cross-sections at high energies are discussed. Survival probabilities at LHC, whose theoretical estimates range from circa 10 percent to a few per mille, will be estimated in this model and compared with results from QCD inspired models and from multi channel eikonal models. We revisit a previous calculation and examine the origin of these discrepancies.