Checks of asymptotia in pp elastic scattering at LHC

TL;DR

This paper analyzes TOTEM data for proton-proton elastic scattering at 7 TeV, using sum rules in impact parameter space to assess if asymptotic behavior is reached at LHC energies, and proposes a parametrization for future studies.

Contribution

It introduces a parametrization of elastic scattering data and applies sum rules to verify asymptotic behavior at LHC energies.

Findings

Asymptotic sum rules are satisfied within errors at 7 TeV.

The proposed parametrization can be used for future higher energy data analysis.

Abstract

We parametrize TOTEM data for the elastic differential pp cross section at sqrt(s)=7 TeV in terms of two exponentials with a relative phase. We employ two previously derived sum rules for pp elastic scattering amplitude in impact parameter space to check whether asymptotia has been reached at the LHC. A detailed study of the TOTEM data for the elastic differential cross section at sqrt(s)=7 TeV is made and it is shown that, within errors, the asymptotic sum rules are satisfied at LHC. We propose to use this parametrization to study forthcoming higher energy data.