Elastic Amplitudes and Observables in pp Scattering

TL;DR

This paper presents a unified analytic model for proton-proton elastic scattering amplitudes across high energies, accurately describing existing data and providing predictions for future LHC energies.

Contribution

It introduces a comprehensive analytic representation of pp scattering amplitudes valid for all high energies, enabling precise description and prediction of observables at LHC energies.

Findings

Excellent fit to 7 and 8 TeV data

Predictions for 2.76, 13, and 14 TeV energies

Insights into energy dependence of scattering observables

Abstract

Using a unified analytic representation for the elastic scattering amplitudes of pp scattering valid for all high energy region, the behavior of observables in the LHC collisions in the range $\sqrt{s}$ = 2.76 - 14 TeV is discussed. Similarly to the case of 7 TeV data, the proposed amplitudes give excellent description of the preliminary 8 TeV data. We discuss the expected energy dependence of the observable quantities, and present predictions for the experiments at 2.76, 13 and 14 TeV.