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  • Open Access

Long range energy-energy correlator at the LHC

Yuxun Guo1,*, Xiaohui Liu2,3,†, and Feng Yuan1,4,‡

  • *Contact author: yuxunguo@lbl.gov
  • †Contact author: xiliu@bnu.edu.cn
  • ‡Contact author: fyuan@lbl.gov
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Phys. Rev. D 112, 054006 – Published 5 September, 2025

DOI: https://doi.org/10.1103/y34s-wn4l

Abstract

We study the forward-backward azimuthal angular correlations of hadrons in association with multiparticle production in the central rapidity region in proton-proton collisions at the LHC. We apply the nucleon energy-energy correlator framework, where the spinning gluon distribution introduces a nontrivial cos(2ϕ) asymmetries. We will demonstrate that the fundamental helicity structure of quantym chromodynamics (QCD) amplitudes predicts a unique power counting rule: cos(2ϕ) asymmetry starts at O(αs2) order for dijet, O(αs) for three jet and O(1) for four (and more) jet productions. Our results will help us to understand the longstanding puzzle of nearside ridge behavior observed in high multiplicity events of pp collisions at the LHC.

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References (51)

  1. V. Khachatryan et al. (CMS Collaboration), J. High Energy Phys. 09 (2010) 091.
  2. V. Khachatryan et al. (CMS Collaboration), Phys. Rev. Lett. 116, 172302 (2016).
  3. V. Khachatryan et al. (CMS Collaboration), Phys. Lett. B 765, 193 (2017).
  4. G. Aad et al. (ATLAS Collaboration), Phys. Rev. Lett. 116, 172301 (2016).
  5. M. Aaboud et al. (ATLAS Collaboration), Phys. Rev. C 96, 024908 (2017).
  6. S. Acharya et al. (ALICE Collaboration), J. High Energy Phys. 05 (2021) 290.
  7. S. Acharya et al. (ALICE Collaboration), Phys. Rev. Lett. 132, 172302 (2024).
  8. K. Dusling and R. Venugopalan, Phys. Rev. Lett. 108, 262001 (2012).
  9. K. Dusling and R. Venugopalan, Phys. Rev. D 87, 094034 (2013).
  10. A. Dumitru, K. Dusling, F. Gelis, J. Jalilian-Marian, T. Lappi, and R. Venugopalan, Phys. Lett. B 697, 21 (2011).
  11. A. Bzdak, B. Schenke, P. Tribedy, and R. Venugopalan, Phys. Rev. C 87, 064906 (2013).
  12. K. Dusling, W. Li, and B. Schenke, Int. J. Mod. Phys. E 25, 1630002 (2016).
  13. C. Loizides, Nucl. Phys. A956, 200 (2016).
  14. M. Strickland, Nucl. Phys. A982, 92 (2019).
  15. J. L. Nagle and W. A. Zajc, Annu. Rev. Nucl. Part. Sci. 68, 211 (2018).
  16. A. Baty, P. Gardner, and W. Li, Phys. Rev. C 107, 064908 (2023).
  17. A. Hayrapetyan et al. (CMS Collaboration), Phys. Rev. Lett. 133, 142301 (2024).
  18. J. F. Grosse-Oetringhaus and U. A. Wiedemann, arXiv:2407.07484.
  19. X. Liu and H. X. Zhu, Phys. Rev. Lett. 130, 091901 (2023).
  20. H. Cao, X. Liu, and H. X. Zhu, Phys. Rev. D 107, 114008 (2023).
  21. X. L. Li, X. Liu, F. Yuan, and H. X. Zhu, Phys. Rev. D 108, L091502 (2023).
  22. H.-Y. Liu, X. Liu, J.-C. Pan, F. Yuan, and H. X. Zhu, Phys. Rev. Lett. 130, 181901 (2023).
  23. A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
  24. R. Abdul Khalek et al., Nucl. Phys. A1026, 122447 (2022).
  25. Proceedings, Probing Nucleons and Nuclei in High Energy Collisions: Dedicated to the Physics of the Electron Ion Collider: Seattle (WA), United States, 2018 (World Scientific Publishing, Singapore, 2020).
  26. Y. Guo, X. Liu, F. Yuan, and H. X. Zhu, Research 2025, 0552 (2025).
  27. A. H. Mueller, Phys. Lett. 104B, 161 (1981).
  28. Y. Guo and F. Yuan, arXiv:2312.01008.
  29. S. J. Parke and T. R. Taylor, Phys. Rev. Lett. 56, 2459 (1986).
  30. F. A. Berends and W. T. Giele, Nucl. Phys. B306, 759 (1988).
  31. Z. Bern and D. A. Kosower, Nucl. Phys. B379, 451 (1992).
  32. Z. Kunszt, A. Signer, and Z. Trocsanyi, Nucl. Phys. B411, 397 (1994).
  33. Z. Bern, A. De Freitas, and L. J. Dixon, J. High Energy Phys. 03 (2002) 018.
  34. F. Caola, A. Chakraborty, G. Gambuti, A. von Manteuffel, and L. Tancredi, Phys. Rev. Lett. 128, 212001 (2022).
  35. S. Catani, Phys. Lett. B 427, 161 (1998).
  36. G. F. Sterman and M. E. Tejeda-Yeomans, Phys. Lett. B 552, 48 (2003).
  37. S. M. Aybat, L. J. Dixon, and G. F. Sterman, Phys. Rev. Lett. 97, 072001 (2006).
  38. J. Botts and G. F. Sterman, Nucl. Phys. B325, 62 (1989).
  39. N. Kidonakis and G. F. Sterman, Nucl. Phys. B505, 321 (1997).
  40. N. Kidonakis, G. Oderda, and G. F. Sterman, Nucl. Phys. B525, 299 (1998).
  41. D. de Florian, P. Hinderer, A. Mukherjee, F. Ringer, and W. Vogelsang, Phys. Rev. Lett. 112, 082001 (2014).
  42. P. Sun, C. P. Yuan, and F. Yuan, Phys. Rev. Lett. 113, 232001 (2014).
  43. P. Sun, C. P. Yuan, and F. Yuan, Phys. Rev. D 92, 094007 (2015).
  44. A. Mukherjee and W. Vogelsang, Phys. Rev. D 86, 094009 (2012); 107, 119901(E) (2023).
  45. H. Chen, I. Moult, and H. X. Zhu, Phys. Rev. Lett. 126, 112003 (2021).
  46. H. Chen, I. Moult, and H. X. Zhu, J. High Energy Phys. 08 (2022) 233.
  47. A. Karlberg, G. P. Salam, L. Scyboz, and R. Verheyen, Eur. Phys. J. C 81, 681 (2021).
  48. Z. Yu and C. P. Yuan, Phys. Rev. Lett. 129, 112001 (2022).
  49. Y.-C. Chen et al., Phys. Lett. B 856, 138957 (2024).
  50. T. Ahmed, J. Henn, and B. Mistlberger, J. High Energy Phys. 12 (2019) 177.
  51. E. W. N. Glover, C. Oleari, and M. E. Tejeda-Yeomans, Nucl. Phys. B605, 467 (2001).

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Phys. Rev. D 112, 054006– Published 5 September, 2025
  • Received 23 September 2024
  • Accepted 21 August 2025
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