pp forward elastic scattering amplitudes 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 precise determination of the zero of the real part of the scattering amplitude at high energies, emphasizing its importance in modeling the differential cross section.

Findings

The real part of the amplitude has a zero consistent with Martin's theorem.

Accurate position of the zero enhances understanding of forward scattering.

Analysis improves the description of differential cross sections at LHC energies.

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.