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Testing the nuclear TMD gluon densities with heavy flavor production in proton-lead collisions at the LHC

A. V. Lipatov1 and A. V. Kotikov2

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Phys. Rev. D 114, 014002 – Published 6 July, 2026

DOI: https://doi.org/10.1103/frt4-7mbl

Abstract

We employ a simple model for nuclear modification of ordinary parton densities in a proton to evaluate the transverse momentum dependent gluon and quark distributions in nuclei (nTMDs) within the popular Kimber-Martin-Ryskin/Watt-Martin-Ryskin approach. The model is based on a global analysis of available deep inelastic scattering data for different nuclear targets within the rescaling model, incorporating Fermi motion effects. The derived nTMDs are tested with the latest CMS data on inclusive b-jet and B+ meson production in proton-lead collisions collected at s=5.02 and 8.16 TeV using the high energy factorization framework. We predict the corresponding nuclear medium modification factors to be about of 0.8–1.2 in the probed kinematical region, which is consistent with other estimations. Specially we highlight a possibility to investigate the nuclear modification of parton densities by applying different cuts on the final states in such processes.

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References (88)

  1. V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972); L. N. Lipatov, 20, 94 (1975); G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977); Yu. L. Dokshitzer, Sov. Phys. JETP 46, 641 (1977).
  2. S. Catani, M. Ciafaloni, and F. Hautmann, Nucl. Phys. B366, 135 (1991); J. C. Collins and R. K. Ellis, B360, 3 (1991).
  3. L. V. Gribov, E. M. Levin, and M. G. Ryskin, Phys. Rep. 100, 1 (1983); E. M. Levin, M. G. Ryskin, Yu. M. Shabelsky, and A. G. Shuvaev, Sov. J. Nucl. Phys. 53, 657 (1991).
  4. E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Sov. Phys. JETP 44, 443 (1976); 45, 199 (1977); I. I. Balitsky and L. N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978).
  5. M. Ciafaloni, Nucl. Phys. B296, 49 (1988); S. Catani, F. Fiorani, and G. Marchesini, Phys. Lett. B 234, 339 (1990); Nucl. Phys. B336, 18 (1990); G. Marchesini, B445, 49 (1995).
  6. A. V. Lipatov, S. P. Baranov, and M. A. Malyshev, Phys. Part. Nucl. 55, 256 (2024).
  7. R. Angeles-Martinez et al., Acta Phys. Pol. B 46, 2501 (2015).
  8. EMC Collaboration, Phys. Lett. 123B, 275 (1983).
  9. M. Arneodo, Phys. Rep. 240, 301 (1994).
  10. P. R. Norton, Rep. Prog. Phys. 66, 1253 (2003).
  11. S. Malace, D. Gaskell, D. W. Higinbotham, and I. C. Clöt, Int. J. Mod. Phys. E 23, 1430013 (2014).
  12. LHeC Collaboration and FCC-he Study Group, J. Phys. G 48, 110501 (2021).
  13. R. Abdul Khalek et al., Nucl. Phys. A1026, 122447 (2022).
  14. D. P. Anderle et al., Front. Phys. 16, 64701 (2021).
  15. SPD Collaboration, Natural Sci. Rev. 1, 1 (2024).
  16. MPD Collaboration, Eur. Phys. J. A 58, 140 (2022).
  17. E. V. Shuryak, J. Exp. Theor. Phys. 47, 212 (1978).
  18. J. C. Collins and M. J. Perry, Phys. Rev. Lett. 34, 1353 (1975).
  19. M. Hirai, S. Kumano, and T.-H. Nagai, Phys. Rev. C 70, 04495 (2004).
  20. M. Hirai, S. Kumano, and T.-H. Nagai, Phys. Rev. C 76, 065207 (2007).
  21. K. J. Eskola, Nucl. Phys. A910, 163 (2013).
  22. K. J. Eskola, P. Paakkinen, H. Paukkunen, and C. A. Salgado, Eur. Phys. J. C 82, 413 (2022).
  23. R. A. Khalek, R. Gauld, T. Giani, E. R. Nocera, T. R. Rabemananjara, and J. Rojo, Eur. Phys. J. C 82, 507 (2022).
  24. A. W. Denniston, T. Jezo, A. Kusina, N. Derakhshanian, P. Duwentaster, O. Hen, C. Keppel, M. Klasen, K. Kovarik, J. G. Morfin, K. F. Muzakka, F. I. Olness, E. Piasetzky, P. Risse, R. Ruiz, I. Schienbein, and J. Y. Yu, Phys. Rev. Lett. 133, 152502 (2024).
  25. R. Wang, X. Chen, and Q. Fu, Nucl. Phys. B920, 1 (2017).
  26. E. Blanco, A. van Hameren, H. Jung, A. Kusina, and K. Kutak, Phys. Rev. D 100, 054023 (2019).
  27. S. A. Kulagin and R. Petti, Nucl. Phys. A765, 126 (2006).
  28. S. A. Kulagin and R. Petti, Phys. Rev. C 90, 045204 (2014).
  29. R. L. Jaffe, F. E. Close, R. G. Roberts, and G. G. Ross, Phys. Lett. 134B, 449 (1984); O. Nachtmann and H. J. Pirner, Z. Phys. C 21, 277 (1984); F. E. Close, R. L. Jaffe, R. G. Roberts, and G. G. Ross, Phys. Rev. D 31, 1004 (1985).
  30. F. E. Close, R. G. Roberts, and G. G. Ross, Phys. Lett. 129B, 346 (1983); R. L. Jaffe, Phys. Rev. Lett. 50, 228 (1983).
  31. A. M. Stasto, K. Golec-Biernat, and J. Kwiecinski, Phys. Rev. Lett. 86, 596 (2001).
  32. N. Armesto, C. A. Salgado, and U. A. Wiedemann, Phys. Rev. Lett. 94, 022002 (2005).
  33. G. R. Boroun and B. Rezaei, Pramana J. Phys. 98, 161 (2024).
  34. A. V. Lipatov, G. I. Lykasov, and M. A. Malyshev, Phys. Rev. D 112, 014025 (2025).
  35. R. L. Jaffe, arXiv:2212.05616.
  36. M. A. Kimber, A. D. Martin, and M. G. Ryskin, Phys. Rev. D 63, 114027 (2001).
  37. G. Watt, A. D. Martin, and M. G. Ryskin, Eur. Phys. J. C 31, 73 (2003).
  38. A. D. Martin, M. G. Ryskin, and G. Watt, Eur. Phys. J. C 66, 163 (2010).
  39. R. Maciula, R. Pasechnik, and A. Szczurek, Phys. Rev. D 106, 054018 (2022).
  40. A. Cisek and A. Szczurek, Phys. Rev. D 103, 114008 (2021).
  41. K. Golec-Biernat, L. Motyka, and T. Stebel, Phys. Rev. D 103, 034013 (2021).
  42. M. Modarres, M. R. Masouminia, R. Aminzadeh-Nik, H. Hosseinkhani, and N. Olanj, Phys. Rev. D 94, 074035 (2016).
  43. B. Guiot and A. van Hameren, Phys. Rev. D 104, 094038 (2021).
  44. F. E. Barattini, C. O. Dib, and B. Guiot, J. High Energy Phys. 05 (2025) 115.
  45. S. Rezaie and K. Azizi, Phys. Lett. B 868, 139787 (2025).
  46. A. V. Lipatov, M. A. Malyshev, A. V. Kotikov, and X. Chen, Phys. Lett. B 850, 138486 (2024).
  47. G. Cvetic, A. Yu. Illarionov, B. A. Kniehl, and A. V. Kotikov, Phys. Lett. B 679, 350 (2009).
  48. A. Yu. Illarionov, A. V. Kotikov, S. S. Parzycki, and D. V. Peshekhonov, Phys. Rev. D 83, 034014 (2011).
  49. A. V. Kotikov, B. G. Shaikhatdenov, and P. M. Zhang, Phys. Rev. D 96, 114002 (2017).
  50. A. V. Kotikov, A. V. Lipatov, B. G. Shaikhatdenov, and P. Zhang, J. High Energy Phys. 02 (2020) 028.
  51. A. V. Kotikov, A. V. Lipatov, and P. Zhang, Phys. Rev. D 104, 054042 (2021).
  52. A. V. Kotikov and G. Parente, Nucl. Phys. B549, 242 (1999).
  53. A. Yu. Illarionov, A. V. Kotikov, and G. Parente, Phys. Part. Nucl. 39, 307 (2008).
  54. L. Mankiewicz, A. Saalfeld, and T. Weigl, Phys. Lett. B 393, 175 (1997).
  55. N. A. Abdulov, A. V. Kotikov, and A. V. Lipatov, Particles 5, 535 (2022).
  56. A. V. Kotikov and A. V. Lipatov, Phys. Rev. D 111, 094009 (2025).
  57. A. V. Kotikov and A. V. Lipatov, Chin. Phys. 50, 034109 (2026).
  58. S. P. Baranov, H. Jung, A. V. Lipatov, and M. A. Malyshev, Eur. Phys. J. C 77, 2 (2017).
  59. X. Dong, Y.-J. Lee, and R. Rapp, Annu. Rev. Nucl. Part. Sci. 69, 417 (2019).
  60. L. Apolinario, Y.-J. Lee, and M. Winn, Prog. Part. Nucl. Phys. 127, 103990 (2022).
  61. A. V. Lipatov, M. A. Malyshev, and S. P. Baranov, Eur. Phys. J. C 80, 330 (2020).
  62. CMS Collaboration, Phys. Lett. B 754, 59 (2016).
  63. CMS Collaboration, Phys. Rev. Lett. 116, 032301 (2016).
  64. CMS Collaboration, Phys. Rev. Lett. 134, 111903 (2025).
  65. A. Bodek and J. L. Ritchie, Phys. Rev. D 23, 1070 (1981).
  66. L. L. Frankfurt and M. I. Strikman, Nucl. Phys. B181, 22 (1981).
  67. L. D. McLerran and R. Venugopalan, Phys. Rev. D 49, 2233 (1994); 49, 3352 (1994).
  68. A. H. Mueller, Nucl. Phys. A724, 223 (2003).
  69. K. Rummukainen and H. Weigert, Nucl. Phys. A739, 183 (2004).
  70. Y. V. Kovchegov, Phys. Rev. D 61, 074018 (2000).
  71. E. Levin and K. Tuchin, Nucl. Phys. B573, 833 (2000).
  72. E. P. Segarra, T. Jezo, A. Accardi, P. Duwentäster, O. Hen, T. J. Hobbs, C. Keppel, M. Klasen, K. Kovarik, A. Kusina, J. G. Morfin, K. F. Muzakka, F. I. Olness, I. Schienbein, and J. Y. Yu, Phys. Rev. D 103, 114015 (2021).
  73. M. Klasen and H. Paukkunen, Annu. Rev. Nucl. Part. Sci. 74, 49 (2024).
  74. K. Golec-Biernat and A. M. Stasto, Phys. Lett. B 781, 633 (2018).
  75. B. Guiot, Phys. Rev. D 101, 054006 (2020).
  76. R. K. Valeshabadi and M. Modarres, Eur. Phys. J. C 82, 66 (2022).
  77. B. Guiot, Phys. Rev. D 107, 014015 (2023).
  78. G. R. Boroun, Phuoc Ha, A. V. Kotikov, and A. V. Lipatov, arXiv:2510.14678.
  79. H. Jung, M. Kraemer, A. V. Lipatov, and N. P. Zotov, J. High Energy Phys. 01 (2011) 085; Phys. Rev. D 85, 034035 (2012).
  80. ATLAS Collaboration, Phys. Rep. 1116, 57 (2025).
  81. ATLAS Collaboration, Eur. Phys. J. C 84, 169 (2024).
  82. ALICE Collaboration, J. High Energy Phys. 03 (2022) 190.
  83. ALICE Collaboration, Eur. Phys. J. C 81, 1121 (2021).
  84. PDG Collaboration, Phys. Rev. D 110, 030001 (2024).
  85. S. P. Baranov, A. V. Lipatov, A. A. Prokhorov, and X. Chen, Eur. Phys. J. C 84, 348 (2024).
  86. A. A. Prokhorov, S. P. Baranov, A. V. Lipatov, M. A. Malyshev, and X. Chen, Phys. Rev. D 112, 114022 (2025).
  87. T. Sjöstrand, S. Mrenna, and P. Skands, J. High Energy Phys. 05 (2006) 026.
  88. https://rscf.ru/en/project/25-22-00066/.

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Phys. Rev. D 114, 014002– Published 6 July, 2026
  • Received 13 February 2026
  • Accepted 2 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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