\begin{document}$ Q^2 $\end{document} 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 parameterization group. We discuss a satisfactory description of the non-linear corrections to the shadowing effect at small x."> Non-linear corrections to the derivative of nuclear reduced cross-section at small <i>x</i> at a future electron-ion collider -
  • [1]

    K.J.Eskolaet al., arXiv: 0110348[hep-ph]

  • [2]

    A. Deshpande, R. Milner, R. Venugopalanet al., Ann. Rev. Nucl. Part. Sci.55, 165 (2005)

  • [3]

    A. Accardiet al., Eur. Phys. J. A52, 268 (2016)

  • [4]

    R. Abdul Khaleket al., Nucl. Phys. A1026, 122447 (2022)

  • [5]

    J.L. Abelleira Fernandezet al., J. Phys. G: Nucl. Part. Phys.39, 075001 (2012)

  • [6]

    P. Agostiniet al., J. Phys. G: Nucl. Part. Phys.48, 110501 (2021)

  • [7]

    A. Abadaet al. (FCC Collaboration), Eur. Phys. J. C79, 474 (2019)

  • [8]

    A. Abadaet al. (FCC Collaboration), Eur. Phys. J. Spec. Top.228, 755 (2019)

  • [9]

    A. M. Stasto, Acta Physica Polonica B16, 7-A23 (2023)

  • [10]

    F. Willeke, Report Number: BNL-221006-2021- FORE, DOI: 10.2172/1765663.

  • [11]

    N. Armestoet al., Phys. Rev. D105, 114017 (2023)

  • [12]

    N. Armesto, Eur. Phys. J. C26, 35 (2002)

  • [13]

    L. V. Gribov, E. M. Levin, and M. G. Ryskin, Phys. Rept.100, 1 (1983)

  • [14]

    A. H. Mueller and J.-w. Qiu, Nucl. Phys. B268, 427 (1986)

  • [15]

    J.-w. Qiu, Nucl. Phys. B291, 746 (1987)

  • [16]

    W. Zhu, Phys. Lett. B389, 374 (1996)

  • [17]

    Y. Cai, X. Wang, and X.Chen, arXiv: 2401.15651[hep-ph]

  • [18]

    J. Kwiecinskiet al., Phys. Rev. D42, 3645 (1990)

  • [19]

    J. Collins and J. Kwiecinski, Nucl. Phys. B335, 89 (1990)

  • [20]

    M. Froissart, Phys. Rev.123, 1053 (1961)

  • [21]

    A. Martin, Phys. Rev.129, 1432 (1963)

  • [22]

    J. Rausch, V. Guzey, and M. Klasen, Phys. Rev. D107, 054003 (2023)

  • [23]

    P. Duwentaster, V. Guzey, L. Heleniuset al., arXiv: 2312.12993

  • [24]

    S. Demirci, T. Lappi, and S. Schlichting, arXiv: 2312.14585[hep-ph]

  • [25]

    E. R. Cazaroto, F. Carvalho, V. P. Goncalveset al., Phys. Lett. B669, 331 (2008)

  • [26]

    G. Altarelli and G. Martinelli, Phys. Lett. B76, 89 (1978)

  • [27]

    S. Moch, J. A. M.Vermaseren, and A.Vogt, Phys. Lett. B606, 123 (2005)

  • [28]

    K. J. Eskola, V. J. Kolhinen, and C. A. Salgado, Eur. Phys. J. C9, 61 (1999)

  • [29]

    D. de Florian and R. Sassot, Phys. Rev. D69, 074028 (2004)

  • [30]

    M. Hirai, S. Kumano, and T. H. Nagai, Phys. Rev. C76, 065207 (2007)

  • [31]

    K. J. Eskola, H. Paukkunen, and C. A. Salgado, JHEP07, 102 (2008)

  • [32]

    W. t. Deng, X. N. Wang, and R. Xu, Phys. Lett. B701, 133 (2011)

  • [33]

    X. N. Wang and M. Gyulassy, Phys. Rev. D44, 3501 (1991)

  • [34]

    X. N. Wang and M. Gyulassy, Comput. Phys. Commun.83, 307 (1994)

  • [35]

    X. N. Wang, Phys. Rept.280, 287 (1997)

  • [36]

    S. Y. Li and X. N. Wang, Phys. Lett. B527, 85 (2002)

  • [37]

    W. T. Deng, X. N.Wang, and R. Xu, Phys. Rev. C83, 014915 (2011)

  • [38]

    A. Donnachie and P. V. Landshoff, Z. Phys. C61, 139 (1994)

  • [39]

    A. Donnachie and P. V. Landshoff, Phys. Lett. B533, 277 (2002)

  • [40]

    A. Donnachie and P. V. Landshoff, Phys. Lett. B550, 160 (2002)

  • [41]

    A. Donnachie and P. V. Landshoff, Phys. Lett. B595, 393 (2004)

  • [42]

    M. M. Block, L. Durand, and D. W. McKay, Phys. Rev. D77, 094003 (2008)

  • [43]

    E. L. Berger, M. M. Block, and C-I Tan, Phys.Rev.Lett.98, 242001 (2007)

  • [44]

    J. Aubertet al. (European Muon), Phys. Lett. B123, 275 (1983)

  • [45]

    M. Arneodo, Phys. Rep.240, 301 (1994)

  • [46]

    B.Rezaei, Nucl. Phys. A1053, 122971 (2025)

  • [47]

    N. Armesto, C. Merino, G. Parenteet al., Phys. Rev. D77, 013001 (2008)

  • [48]

    E. Iancu and R. Venugopalan, arXiv: hep-ph/0303204

  • [49]

    A. M. Stasto, Acta Phys. Polon. B35, 3069 (2004)

  • [50]

    H. Weigert, Prog. Part. Nucl. Phys.55, 461 (2005)

  • [51]

    J. Jalilian-Marian and Y. V. Kovchegov, Prog. Part. Nucl. Phys.56, 104 (2006)

  • [52]

    J. Jimenez-Lopez, P. R. Newman, and K. Wichmann, arXiv: 2412.16123[hep-ph]

  • [53]

    C. Marquet, arXiv: 1212.3482[hep-ph]

  • [54]

    A. Morreale and F. Salazar, Universe7, 312 (2021)

  • [55]

    H. Mantysaari, J. Penttala, F. Salazaret al., Phys. Rev. D111, 054033 (2025)

  • [56]

    M. A. Betemps and M. V. T. Machado, Eur. Phys. J. C65, 427 (2010)

  • [57]

    I. I. Balitsky, Nucl. Phys. B463, 99 (1996)

  • [58]

    I. I. Balitsky, Phys. Rev. Lett.81, 2024 (1998)

  • [59]

    I. I. Balitsky, Phys. Lett. B518, 235 (2001)

  • [60]

    Y. V. Kovchegov, Phys. Rev. D60, 034008 (1999)

  • [61]

    Y. V. Kovchegov, Phys. Rev. D61, 074018 (2000)

  • [62]

    K. Kovarik, A. Kusina, T. Jezoet al., Phys. Rev. D93, 085037 (2016)

  • [63]

    G. R.Boroun and B.Rezaei, Eur. Phys. J. C81, 851 (2021)

  • [64]

    G. R.Boroun, Pramana J. Phys.99, 8 (2025)

  • [65]

    G. R.Boroun, B. Rezaei, and F. Abdi, Chin. Phys. C48, 033107 (2024)

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