Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Dijet production in DIS off a large nucleus at next-to-eikonal accuracy in a Gaussian model within the CGC framework

Pedro Agostini1,2, Tolga Altinoluk1, Néstor Armesto2, Guillaume Beuf1, Florian Cougoulic3, and Swaleha Mulani1,4,5

Phys. Rev. D 113, 054035 – Published 23 March, 2026

DOI: https://doi.org/10.1103/fpy6-9s8c

Abstract

We develop a Gaussian model to evaluate the decorated dipole and quadrupole operators that arise beyond the eikonal approximation in the color glass condensate framework. While the method is general and applicable to arbitrary beyond-eikonal Wilson line structures, we employ it for dijet production in deep inelastic scattering at next-to-eikonal accuracy. After validating the model at the eikonal level, we compute all next-to-eikonal operator structures entering the dijet cross section. We show that some of them do not contribute to this observable, while others vanish identically. Therefore, in the Gaussian model next-to-eikonal corrections to dijet production in deep inelastic scattering originate solely from a given type of operators and from next-to-eikonal three-point correlators. The resulting expressions are provided in a form suitable for numerical implementation.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (83)

  1. F. Gelis, E. Iancu, J. Jalilian-Marian, and R. Venugopalan, Annu. Rev. Nucl. Part. Sci. 60, 463 (2010).
  2. Y. V. Kovchegov and E. Levin, Quantum Chromodynamics at High Energy (Oxford University Press, New York, 2013), Vol. 33.
  3. J. L. Albacete and C. Marquet, Prog. Part. Nucl. Phys. 76, 1 (2014).
  4. J.-P. Blaizot, Rep. Prog. Phys. 80, 032301 (2017).
  5. L. D. McLerran and R. Venugopalan, Phys. Rev. D 49, 2233 (1994).
  6. L. D. McLerran and R. Venugopalan, Phys. Rev. D 49, 3352 (1994).
  7. L. D. McLerran and R. Venugopalan, Phys. Rev. D 50, 2225 (1994).
  8. J. Jalilian-Marian, A. Kovner, L. D. McLerran, and H. Weigert, Phys. Rev. D 55, 5414 (1997).
  9. J. Jalilian-Marian, A. Kovner, A. Leonidov, and H. Weigert, Nucl. Phys. B504, 415 (1997).
  10. J. Jalilian-Marian, A. Kovner, A. Leonidov, and H. Weigert, Phys. Rev. D 59, 014014 (1998).
  11. J. Jalilian-Marian, A. Kovner, and H. Weigert, Phys. Rev. D 59, 014015 (1998).
  12. A. Kovner, J. G. Milhano, and H. Weigert, Phys. Rev. D 62, 114005 (2000).
  13. H. Weigert, Nucl. Phys. A703, 823 (2002).
  14. E. Iancu, A. Leonidov, and L. D. McLerran, Nucl. Phys. A692, 583 (2001).
  15. E. Iancu, A. Leonidov, and L. D. McLerran, Phys. Lett. B 510, 133 (2001).
  16. E. Ferreiro, E. Iancu, A. Leonidov, and L. McLerran, Nucl. Phys. A703, 489 (2002).
  17. I. Balitsky, Nucl. Phys. B463, 99 (1996).
  18. Y. V. Kovchegov, Phys. Rev. D 60, 034008 (1999).
  19. Y. V. Kovchegov, Phys. Rev. D 61, 074018 (2000).
  20. T. Altinoluk, N. Armesto, G. Beuf, M. Martínez, and C. A. Salgado, J. High Energy Phys. 07 (2014) 068.
  21. T. Altinoluk, N. Armesto, G. Beuf, and A. Moscoso, J. High Energy Phys. 01 (2015) 114.
  22. T. Altinoluk and A. Dumitru, Phys. Rev. D 94, 074032 (2016).
  23. P. Agostini, T. Altinoluk, and N. Armesto, Eur. Phys. J. C 79, 600 (2019).
  24. P. Agostini, T. Altinoluk, and N. Armesto, Eur. Phys. J. C 79, 790 (2019).
  25. T. Altinoluk, G. Beuf, A. Czajka, and A. Tymowska, Phys. Rev. D 104, 014019 (2021).
  26. T. Altinoluk and G. Beuf, Phys. Rev. D 105, 074026 (2022).
  27. P. Agostini, T. Altinoluk, N. Armesto, F. Dominguez, and J. G. Milhano, Eur. Phys. J. C 82, 1001 (2022).
  28. P. Agostini, T. Altinoluk, and N. Armesto, Phys. Lett. B 840, 137892 (2023).
  29. T. Altinoluk, G. Beuf, A. Czajka, and A. Tymowska, Phys. Rev. D 107, 074016 (2023).
  30. P. Agostini, J. High Energy Phys. 11 (2023) 099.
  31. P. Agostini, T. Altinoluk, and N. Armesto, J. High Energy Phys. 07 (2024) 137.
  32. T. Altinoluk, G. Beuf, A. Czajka, and C. Marquet, Phys. Rev. D 111, 014010 (2025).
  33. T. Altinoluk, G. Beuf, and S. Mulani, Phys. Rev. D 111, 034028 (2025).
  34. T. Altinoluk, N. Armesto, and G. Beuf, Phys. Rev. D 108, 074023 (2023).
  35. T. Altinoluk, G. Beuf, E. Blanco, and S. Mulani, J. High Energy Phys. 06 (2024) 097.
  36. T. Altinoluk, G. Beuf, and S. Mulani, Phys. Rev. D 113, 034011 (2026).
  37. T. Altinoluk, G. Beuf, J. Favrel, and M. Fucilla, arXiv:2512.16788.
  38. Y. V. Kovchegov, D. Pitonyak, and M. D. Sievert, J. High Energy Phys. 01 (2016) 072; 10 (2016) 148(E).
  39. Y. V. Kovchegov, D. Pitonyak, and M. D. Sievert, Phys. Rev. D 95, 014033 (2017).
  40. Y. V. Kovchegov, D. Pitonyak, and M. D. Sievert, Phys. Rev. Lett. 118, 052001 (2017).
  41. Y. V. Kovchegov, D. Pitonyak, and M. D. Sievert, Phys. Lett. B 772, 136 (2017).
  42. Y. V. Kovchegov, D. Pitonyak, and M. D. Sievert, J. High Energy Phys. 10 (2017) 198.
  43. Y. V. Kovchegov and M. D. Sievert, Phys. Rev. D 99, 054032 (2019).
  44. Y. V. Kovchegov and M. D. Sievert, Phys. Rev. D 99, 054033 (2019).
  45. Y. V. Kovchegov and M. G. Santiago, Phys. Rev. D 102, 014022 (2020).
  46. Y. V. Kovchegov and Y. Tawabutr, J. High Energy Phys. 08 (2020) 014.
  47. D. Adamiak, Y. V. Kovchegov, W. Melnitchouk, D. Pitonyak, N. Sato, and M. D. Sievert (Jefferson Lab Angular Momentum), Phys. Rev. D 104, L031501 (2021).
  48. Y. V. Kovchegov, A. Tarasov, and Y. Tawabutr, J. High Energy Phys. 03 (2021) 184,
  49. Y. V. Kovchegov and M. G. Santiago, J. High Energy Phys. 11 (2021) 200; 09 (2022) 186(E).
  50. F. Cougoulic, Y. V. Kovchegov, A. Tarasov, and Y. Tawabutr, J. High Energy Phys. 07 (2022) 095,
  51. Y. V. Kovchegov and M. G. Santiago, J. High Energy Phys. 11 (2022) 098.
  52. J. Borden and Y. V. Kovchegov, Phys. Rev. D 108, 014001 (2023).
  53. Y. V. Kovchegov and M. Li, J. High Energy Phys. 05 (2024) 177.
  54. J. Borden, Y. V. Kovchegov, and M. Li, J. High Energy Phys. 09 (2024) 037.
  55. F. Cougoulic and Y. V. Kovchegov, Phys. Rev. D 100, 114020 (2019).
  56. F. Cougoulic and Y. V. Kovchegov, Nucl. Phys. A1004, 122051 (2020).
  57. I. Balitsky and A. Tarasov, J. High Energy Phys. 10 (2015) 017.
  58. I. Balitsky and A. Tarasov, J. High Energy Phys. 06 (2016) 164.
  59. I. Balitsky and A. Tarasov, J. High Energy Phys. 07 (2017) 095.
  60. R. Boussarie and Y. Mehtar-Tani, Phys. Lett. B 831, 137125 (2022).
  61. R. Boussarie and Y. Mehtar-Tani, J. High Energy Phys. 07 (2021) 080.
  62. R. Boussarie and Y. Mehtar-Tani, J. High Energy Phys. 10 (2023) 056.
  63. G. A. Chirilli, J. High Energy Phys. 01 (2018) 118.
  64. G. A. Chirilli, J. High Energy Phys. 06 (2021) 096.
  65. M. Li, J. High Energy Phys. 07 (2023) 158.
  66. M. Li, Phys. Rev. Lett. 133, 021902 (2024).
  67. M. Li, Phys. Rev. D 111, 034027 (2025).
  68. J. Jalilian-Marian, Phys. Rev. D 96, 074020 (2017).
  69. J. Jalilian-Marian, Phys. Rev. D 99, 014043 (2019).
  70. J. Jalilian-Marian, Phys. Rev. D 102, 014008 (2020).
  71. Y. Hatta, Y. Nakagawa, F. Yuan, Y. Zhao, and B. Xiao, Phys. Rev. D 95, 114032 (2017).
  72. Y. V. Kovchegov, J. High Energy Phys. 03 (2019) 174.
  73. R. Boussarie, Y. Hatta, and F. Yuan, Phys. Lett. B 797, 134817 (2019).
  74. Y. V. Kovchegov and B. Manley, J. High Energy Phys. 02 (2023) 060.
  75. Y. V. Kovchegov and B. Manley, Phys. Rev. D 111, 054017 (2025).
  76. K. J. Golec-Biernat and M. Wusthoff, Phys. Rev. D 59, 014017 (1998).
  77. K. J. Golec-Biernat and M. Wusthoff, Phys. Rev. D 60, 114023 (1999).
  78. A. Dumitru, G. A. Miller, and R. Venugopalan, Phys. Rev. D 98, 094004 (2018).
  79. F. Gelis and A. Peshier, Nucl. Phys. A697, 879 (2002).
  80. S. Peigné, Color in QCD: An Introduction Featuring the Birdtrack Pictorial Technique, Springer Briefs in Physics (Springer, New York, 2024).
  81. J. P. Blaizot, F. Gelis, and R. Venugopalan, Nucl. Phys. A743, 57 (2004).
  82. C. Marquet, Y. Shi, and B.-W. Xiao, arXiv:2510.18949.
  83. F. Dominguez, C. Marquet, and B. Wu, Nucl. Phys. A823, 99 (2009).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation