The EIC reduced cross sections at high inelasticity

The impact of higher-twist corrections to the ratio $\frac{\sigma_{r}}{F_{2}}(A,Q^2/s,Q^2)$ for light and heavy nuclei is considered at fixed a $\sqrt{s}$ and $Q^2$ to the minimum value of $x$ given by $Q^2/s$. The results are for the EIC center-of-mass energies. We apply the influence of higher-twist corrections to $\frac{\sigma_{r}}{F_{2}}(A,Q^2/s,Q^2)$ by the dimensionless variable $\xi'_{A}=Q_{s,A}^{2}/Q^2$ in the color dipole model and obtain bounds for the ratio in the linear region. The importance of contributing to twist-4 at small-$x$ is visible in the linear region where $\xi'_{A}{\leq}1$. We perform that twist-4 corrections of the saturation model are shown the successful behavior of $\frac{F_{L}}{F_{2}}(A=2,x,Q^2)$ in comparison with the JLab data at $\xi'_{A}{\leq}1$. The higher-twist corrections due to twist-6 and twist-8 are resummed by the non-linear approaches in the region $\xi'_{A}>1$. The ratio $\frac{F_{L}}{F_{2}}$ deuteron is considered in the low-$Q^2$ and small-$x$ region and compared with the JLab data which takes into account the non-linear corrections due to twist-6 and twist-8. A comparison with the JLab data shows that the impact of the distinct twists allows us to probe the presence of non-linear effects on the QCD dynamics as $F_{L}{\rightarrow}0$ and the polarization of the virtual photon is transverse in this region.