Description of pp forward elastic scattering at 7 and 8 TeV

TL;DR

This paper analyzes LHC proton-proton elastic scattering data at 7 and 8 TeV, focusing on the real part of the scattering amplitude and identifying the zero of the real amplitude in accordance with Martin's theorem.

Contribution

It provides a detailed analysis of the real part of the scattering amplitude and accurately determines the zero position, enhancing understanding of forward elastic scattering at high energies.

Findings

Identified the zero of the real scattering amplitude at specific momentum transfer values.

Showed the importance of the real part's structure in modeling differential cross sections.

Confirmed the theoretical prediction of the zero position in the real amplitude.

Abstract

We analyse the recent LHC data at 7 and 8 TeV for pp elastic scattering with special attention for the structure of the real part, which is shown to be crucial to describe the differential cross section in the forward region. We determine accurately the position of the zero of the real amplitude, which corresponds to the zero of a theorem by A. Martin.