CGC/saturation approach: secondary Reggeons and $\rho={\rm Re/Im}$ dependence on energy

TL;DR

This paper demonstrates that a CGC/saturation model with secondary Reggeons can effectively describe soft interaction data across a wide energy range, including recent LHC results, and discusses the potential odderon contribution.

Contribution

The study extends the CGC/saturation approach by incorporating secondary Reggeons, providing a comprehensive description of soft scattering data and energy dependence of the $ ho$ parameter.

Findings

Successfully describes soft data from 30 GeV to 13 TeV.

Estimates odderon contribution as up to 1 mb at 13 TeV.

Argues $ ho$ is not the best observable for odderon detection.

Abstract

In this letter we demonstrate that a model which is based on the CGC/saturation approach, is able to describe soft interaction collisions for the wide range of $W=\sqrt{s} = 30 \,GeV \div\, 13 \,TeV$ including the new TOTEM data at 13 TeV. We have incorporated the secondary Reggeons in our approach which enables us to describe the complete set of the soft data, including the energy behaviour of $\rho $ the ratio of the real to imaginary parts of the elastic scattering amplitude. We argue that it is premature to claim that an odderon contribution is necessary, but estimate its possible strength as $1 mb$ to the real part of the amplitude at W = 13 \,TeV. We show that the odderon contribution depends on the value of energy leading to ${\rm Re A\Lb s, t=0\Rb} $= 8 mb at W=21.2 \,GeV. Bearing this in mind we do not believe that $\rho$ at high energies is the appropriate observable for detecting the odderon contribution. The successful description of the soft data in the wide range of energy strengthens our claim that the CGC/saturation approach is the only viable candidate for an effective theory for high energy QCD.