# Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics: an Update

## TL;DR

This paper updates a theoretical analysis of proton-proton and antiproton-proton elastic scattering using recent experimental data, providing predictions for high-energy scattering observables up to 10 PeV, relevant for collider and cosmic ray physics.

## Contribution

It introduces an updated analysis based on a novel parametrization within axiomatic quantum field theory, incorporating new data to refine predictions at ultra-high energies.

## Key findings

- Robust fit parameters for scattering observables
- Predictions for total cross section up to 10 PeV
- Estimates of the $
ho$ parameter at high energies

## Abstract

In a previous work a novel parametrization was proposed for the $pp$ and $\bar{p}p$ total cross section. Here, results are presented for analysis updated with taken into account the recent data from accelerator experiments as well as from cosmic ray measurements. The analytic parameterizations suggested within axiomatic quantum field theory (AQFT) provide the quantitative description of energy dependence of global scattering observables with robust values of fit parameters. Based on the fit results the estimations are derived for the total cross section and the $\rho$ parameter in elastic $pp$ scattering at various $\sqrt{s}$ up to energy frontier $\sqrt{s}=10$ PeV which can be useful for present and future hadron colliders as well as for cosmic ray measurements at ultra-high energies.