• [1]

    S. M. Berman, J. D. Bjorken, and J. B. Kogut, Phys. Rev. D 4, 3388 (1971)

  • [2]

    R. D. Field and R. P. Feynman, Nucl. Phys. B 136, 1 (1978)

  • [3]

    R. P. Feynman, R. D. Field, and G. C. Fox, Phys. Rev. D 18, 3320 (1978)

  • [4]

    J. C. Collins, D. E. Soper, and G. F. Sterman, Adv. Ser. Direct. High Energy Phys. 5, 1 (1989), arXiv: hep-ph/0409313

  • [5]

    A. Metz and A. Vossen, Prog. Part. Nucl. Phys. 91, 136 (2016), arXiv: 1607.02521

  • [6]

    I. Borsa, M. Stratmann, W. Vogelsang, D. de Florian, and R. Sassot, Phys. Rev. Lett. 133, 151901 (2024), arXiv: 2407.11635

  • [7]

    J. Cruz-Martinez, T. Hasenack, F. Hekhorn, G. Magni, E. R. Nocera, T. R. Rabemananjara, J. Rojo, T. Sharma, and G. van Seeventer (2025), 2503.11814.

  • [8]

    R. Abdul Khalek, J. J. Ethier, J. Rojo, and G. van Weelden, JHEP 09, 183 (2020), arXiv: 2006.14629

  • [9]

    K. F. Muzakka, et al., Phys. Rev. D 106, 074004 (2022), arXiv: 2204.13157

  • [10]

    K. J. Eskola, P. Paakkinen, H. Paukkunen, and C. A. Salgado, Eur. Phys. J. C 82, 413 (2022), arXiv: 2112.12462

  • [11]

    I. Helenius, M. Walt, and W. Vogelsang, Phys. Rev. D 105, 094031 (2022), arXiv: 2112.11904

  • [12]

    A. Accardi, et al., Eur. Phys. J. A 52, 268 (2016), arXiv: 1212.1701

  • [13]

    D. P. Anderle, et al., Front. Phys. (Beijing) 16, 64701 (2021), arXiv: 2102.09222

  • [14]

    D. de Florian, R. Sassot, and M. Stratmann, Phys. Rev. D 76, 074033 (2007), arXiv: 0707.1506

  • [15]

    M. Hirai, S. Kumano, T. H. Nagai, and K. Sudoh, Phys. Rev. D 75, 094009 (2007), arXiv: hep-ph/0702250

  • [16]

    S. Albino, B. A. Kniehl, and G. Kramer, Nucl. Phys. B 803, 42 (2008), arXiv: 0803.2768

  • [17]

    V. Bertone, N. P. Hartland, E. R. Nocera, J. Rojo, and L. Rottoli (NNPDF), Eur. Phys. J. C 78, 651 (2018), [Erratum: Eur.Phys.J.C 84, 155 (2024)], 1807.03310.

  • [18]

    R. A. Khalek, V. Bertone, and E. R. Nocera (MAP (Multi-dimensional Analyses of Partonic distributions)), Phys. Rev. D 104, 034007 (2021), arXiv: 2105.08725

  • [19]

    E. Moffat, W. Melnitchouk, T. C. Rogers, and N. Sato (Jefferson Lab Angular Momentum (JAM)), Phys. Rev. D 104, 016015 (2021), arXiv: 2101.04664

  • [20]

    J. Gao, C. Liu, X. Shen, H. Xing, and Y. Zhao, Phys. Rev. Lett. 132, 261903 (2024), arXiv: 2401.02781

  • [21]

    J. Gao, C. Liu, X. Shen, H. Xing, and Y. Zhao, Phys. Rev. D 110, 114019 (2024), arXiv: 2407.04422

  • [22]

    J. Gao, C. Liu, M. Li, X. Shen, H. Xing, Y. Zhao, and Y. Zhou (2025), 2503.21311.

  • [23]

    V. Bertone, S. Carrazza, N. P. Hartland, E. R. Nocera, and J. Rojo (NNPDF), Eur. Phys. J. C 77, 516 (2017), arXiv: 1706.07049

  • [24]

    M. Soleymaninia, M. Goharipour, and H. Khanpour, Phys. Rev. D 98, 074002 (2018), arXiv: 1805.04847

  • [25]

    I. Borsa, R. Sassot, D. de Florian, M. Stratmann, and W. Vogelsang, Phys. Rev. Lett. 129, 012002 (2022), arXiv: 2202.05060

  • [26]

    R. Abdul Khalek, V. Bertone, A. Khoudli, and E. R. Nocera (MAP (Multi-dimensional Analyses of Partonic distributions)), Phys. Lett. B 834, 137456 (2022), arXiv: 2204.10331

  • [27]

    J. Gao, X. Shen, H. Xing, Y. Zhao, and B. Zhou (2025), 2502.17837.

  • [28]

    T. Shigetani, K. Suzuki, and H. Toki, Phys. Lett. B 308, 383 (1993), arXiv: hep-ph/9402286

  • [29]

    T. Heinzl, Lect. Notes Phys. 572, 55 (2001), arXiv: hepth/0008096

  • [30]

    T. Ito, W. Bentz, I. C. Cloet, A. W. Thomas, and K. Yazaki, Phys. Rev. D 80, 074008 (2009), arXiv: 0906.5362

  • [31]

    R. J. Holt and C. D. Roberts, Rev. Mod. Phys. 82, 2991 (2010), arXiv: 1002.4666

  • [32]

    J. F. Gunion, 11th International Symposium on Multiparticle Dynamics (1980), SLAC-PUB-2607.

  • [33]

    S. J. Brodsky, M. Burkardt, and I. Schmidt, Nucl. Phys. B 441, 197 (1995), arXiv: hep-ph/9401328

  • [34]

    F. Yuan, Phys. Rev. D 69, 051501 (2004), arXiv: hepph/0311288

  • [35]

    X.-d. Ji, J.-P. Ma, and F. Yuan, Phys. Lett. B 610, 247 (2005), arXiv: hep-ph/0411382

  • [36]

    C. Shi, C. Mezrag, and H.-s. Zong, Phys. Rev. D 98, 054029 (2018), arXiv: 1806.10232

  • [37]

    Z. F. Cui, M. Ding, J. M. Morgado, K. Raya, D. Binosi, L. Chang, J. Papavassiliou, C. D. Roberts, J. RodríguezQuintero, and S. M. Schmidt, Eur. Phys. J. A 58, 10 (2022), arXiv: 2112.09210

  • [38]

    S. Albino and E. Christova, Phys. Rev. D 81, 094031 (2010), arXiv: 1003.1084

  • [39]

    E. Christova and E. Leader, Phys. Rev. D 79, 014019 (2009), arXiv: 0809.0191

  • [40]

    E. Christova and E. Leader, Eur. Phys. J. C 51, 825 (2007), arXiv: hep-ph/0612049

  • [41]

    S. Goyal, S.-O. Moch, V. Pathak, N. Rana, and V. Ravindran, Phys. Rev. Lett. 132, 251902 (2024), arXiv: 2312.17711

  • [42]

    L. Bonino, T. Gehrmann, and G. Stagnitto, Phys. Rev. Lett. 132, 251901 (2024), arXiv: 2401.16281

  • [43]

    S. Goyal, R. N. Lee, S.-O. Moch, V. Pathak, N. Rana, and V. Ravindran, Phys. Rev. D 111, 094007 (2025), arXiv: 2412.19309

  • [44]

    L. Bonino, T. Gehrmann, M. Löchner, K. Schönwald, and G. Stagnitto (2025), 2504.05376.

  • [45]

    L. Bonino, T. Gehrmann, M. Löchner, K. Schönwald, and G. Stagnitto (2025), 2506.19926.

  • [46]

    P. J. Rijken and W. L. van Neerven, Phys. Lett. B 386, 422 (1996), arXiv: hep-ph/9604436

  • [47]

    P. J. Rijken and W. L. van Neerven, Phys. Lett. B 392, 207 (1997), arXiv: hep-ph/9609379

  • [48]

    P. J. Rijken and W. L. van Neerven, Nucl. Phys. B 487, 233 (1997), arXiv: hep-ph/9609377

  • [49]

    A. Mitov and S.-O. Moch, Nucl. Phys. B 751, 18 (2006), arXiv: hep-ph/0604160

  • [50]

    G. Soar, S. Moch, J. A. M. Vermaseren, and A. Vogt, Nucl. Phys. B 832, 152 (2010), arXiv: 0912.0369

  • [51]

    A. A. Almasy, S. Moch, and A. Vogt, Nucl. Phys. B 854, 133 (2012), arXiv: 1107.2263

  • [52]

    Z. Xu and H. X. Zhu (2024), 2411.11595.

  • [53]

    C.-Q. He, H. Xing, T.-Z. Yang, and H. X. Zhu (2025), 2503.20441.

  • [54]

    A. Airapetian, et al. (HERMES), Phys. Rev. D 87, 074029 (2013), arXiv: 1212.5407

  • [55]

    C. Adolph, et al. (COMPASS), Phys. Lett. B 764, 1 (2017), arXiv: 1604.02695

  • [56]

    C. Adolph, et al. (COMPASS), Phys. Lett. B 767, 133 (2017), arXiv: 1608.06760

  • [57]

    G. D. Alexeev et al. (2024), 2410.12005.

  • [58]

    P. Allen, et al. (Aachen-Bonn-CERN-Munich-Oxford), Nucl. Phys. B 214, 369 (1983)

  • [59]

    K. Abe, et al. (SLD), Phys. Rev. D 69, 072003 (2004), arXiv: hep-ex/0310017

  • [60]

    K. Abe, et al. (SLD), Phys. Rev. D 59, 052001 (1999), arXiv: hep-ex/9805029

  • [61]

    B. Zhou and J. Gao (2025), 2507.13185.

  • [62]

    M. Cacciari, F. A. Dreyer, A. Karlberg, G. P. Salam, and G. Zanderighi, Phys. Rev. Lett. 115, 082002 (2015), [Erratum: Phys.Rev.Lett. 120, 139901 (2018)], 1506.02660.

  • [63]

    A. Mitov, S. Moch, and A. Vogt, Phys. Lett. B 638, 61 (2006), arXiv: hep-ph/0604053

  • [64]

    S. Moch and A. Vogt, Phys. Lett. B 659, 290 (2008), arXiv: 0709.3899

  • [65]

    H. Chen, T.-Z. Yang, H. X. Zhu, and Y. J. Zhu, Chin. Phys. C 45, 043101 (2021), arXiv: 2006.10534

  • [66]

    G. P. Salam and J. Rojo, Comput. Phys. Commun. 180, 120 (2009), arXiv: 0804.3755

  • [67]

    C. Liu, X. Shen, B. Zhou, and J. Gao, JHEP 09, 108 (2023), arXiv: 2305.14620

  • [68]

    B. Zhou and J. Gao, JHEP 02, 003 (2025), arXiv: 2407.10059

  • [69]

    T.-J. Hou, et al., Phys. Rev. D 103, 014013 (2021), arXiv: 1912.10053

  • [70]

    I. Novikov, et al., Phys. Rev. D 102, 014040 (2020), arXiv: 2002.02902

  • [71]

    L. Kotz, A. Courtoy, P. Nadolsky, F. Olness, and M. Ponce-Chavez, Phys. Rev. D 109, 074027 (2024), arXiv: 2311.08447

  • [72]

    M. Aicher, A. Schafer, and W. Vogelsang, Phys. Rev. Lett. 105, 252003 (2010), arXiv: 1009.2481

  • [73]

    P. C. Barry, C.-R. Ji, N. Sato, and W. Melnitchouk (Jefferson Lab Angular Momentum (JAM)), Phys. Rev. Lett. 127, 232001 (2021), arXiv: 2108.05822

  • [74]

    H.-Y. Xing, W.-H. Bian, Z.-F. Cui, and C. D. Roberts (2025), 2504.08142.

  • [75]

    R. D. Ball, et al. (NNPDF), Eur. Phys. J. C 82, 428 (2022), arXiv: 2109.02653

  • [76]

    S. Bailey, T. Cridge, L. A. Harland-Lang, A. D. Martin, and R. S. Thorne, Eur. Phys. J. C 81, 341 (2021), arXiv: 2012.04684

  • [77]

    C. Bierlich, et al., SciPost Phys. Codeb. 2022, 8 (2022), arXiv: 2203.11601

  • [78]

    T. Sjostrand, Comput. Phys. Commun. 82, 74 (1994)