Schwinger-based QCD formulation's derivation of elastic pp scattering

TL;DR

This paper derives a simplified, gauge-invariant QCD amplitude using Schwinger techniques that naturally incorporates Pomeron-like forms, fitting experimental proton-proton elastic scattering data from ISR and LHC-TOTEM.

Contribution

It introduces a novel non-perturbative QCD amplitude formulation based on Schwinger methods that effectively models elastic pp scattering with a specific transverse fluctuation function.

Findings

Successful fits to ISR and LHC-TOTEM data

Amplitude incorporates Pomeron-like structures naturally

Uses a specific transverse fluctuation function $\\phi(b)$

Abstract

Using previously described functional techniques for some non-perturbative, gauge invariant, renormalized QCD processes, a simplified version of the amplitudes - in which forms akin to Pomerons naturally appear - provides fits to ISR and LHC-TOTEM pp elastic scattering data. Those amplitudes rely on a specific function $\phi(b)$ which describes the fluctuations of the transverse position of quarks inside hadrons.