Non-linear corrections to the derivative of nuclear reduced cross-section at small $x$ at a future electron-ion collider

TL;DR

This paper investigates non-linear corrections to nuclear cross-sections at small Bjorken-x in future electron-ion colliders, highlighting their importance for accurate nuclear structure modeling within perturbative QCD.

Contribution

It introduces a method to constrain non-linear corrections in nuclear distribution functions using future collider observables within the GLR-MQ framework.

Findings

Non-linear corrections significantly affect heavy nuclear cross sections at low x and Q^2.

Results align with existing nuclear distribution parametrizations.

Non-linear effects improve the description of nuclear shadowing at small x.

Abstract

The determination of non-linear corrections to the nuclear distribution functions due to the HIJING parametrization within the framework of perturbative QCD, specifically the GLR-MQ equations, is discussed. We analyze the possibility of constraining the non-linear corrections present in distribution functions using the inclusive observables that will be measured in future electron-ion colliders (EIC and EICc). The results show that non-linear corrections play an important role in heavy nuclear reduced cross sections at low $x$ and low $Q^2$ values. We find that the non-linear corrections provide the correct behavior of the extracted nuclear cross sections and that our results align with data from the nCETQ15 parametrization group. We are currently discussing a satisfactory description of the non-linear corrections to the shadowing effect at small $x$.