Higher twists effects in DIS on nuclei at the EIC and LHeC: A phenomenological analysis

TL;DR

This paper analyzes how higher-twist effects, modeled through non-linear QCD dynamics, influence measurable observables in future electron-ion colliders, highlighting the potential to probe non-linear effects via structure functions.

Contribution

It provides a phenomenological model for dipole-nucleus scattering incorporating non-linear corrections and estimates the impact of different twists on structure functions in future collider experiments.

Findings

Higher-twist effects significantly influence structure functions at small x.

Non-linear QCD effects can be probed through the Q^2 slope and longitudinal structure functions.

Future measurements can distinguish between linear and non-linear QCD dynamics.

Abstract

In this paper we investigate the impact of the higher - twist effects, resummed by the non - linear approaches for the QCD dynamics, on the inclusive observables that will be measured in future electron - ion colliders. We assume a phenomenological model for the dipole - nucleus scattering amplitude which takes into account the non - linear corrections and estimate the contribution of the different twists for $F_2^A(x,Q^2)$, $F_L^A(x,Q^2)$ and $\partial F_2^A /\partial ln Q^2$ considering different values of the Bjorken - $x$ variable, photon virtuality $Q^2$ and atomic number $A$. A comparison with the full predictions is performed and the impact of the distinct twists is estimated. Our results indicate that a future analysis of the logarithmic $Q^2$ slope and longitudinal structure function will allow us to probe the presence of the non - linear effects on the QCD dynamics.