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

Dihadron Fragmentation Framework for Near-Side Energy-Energy Correlators

Zhong-Bo Kang1,2,3,*, Andreas Metz4,†, Daniel Pitonyak5,‡, and Congyue Zhang1,2,§

  • *Contact author: zkang@physics.ucla.edu
  • †Contact author: metza@temple.edu
  • ‡Contact author: pitonyak@lvc.edu
  • §Contact author: maxzhang2002@g.ucla.edu

Phys. Rev. Lett. 136, 081905 – Published 23 February, 2026

DOI: https://doi.org/10.1103/jnl4-x77t

Abstract

We establish an approach to analyze the free hadron and transition (nonperturbative) regions of near-side energy-energy correlators (EECs) based on dihadron fragmentation functions (DiFFs). We introduce a (nonperturbative) function we call the “EEC DiFF” and explicitly show that expanding it for large relative transverse momentum between the two hadrons gives the O(αs) expression for the “EEC jet” function used in the quark-gluon (perturbative) region. This connection indicates that a formal theoretical matching will be able to bridge the free-hadron region, transition, and quark-gluon regions and allow all of them to be analyzed simultaneously. We further derive a result valid for near-side EECs in the free hadron and transition regions of e+e− annihilation in terms of the EEC DiFF. Using a simple model for the function, we perform the first fit within the dihadron framework to experimental data in this regime. We find reasonable agreement with the measurements and reproduce the salient features of near-side EECs in the free hadron and transition regions.

View figure in article

Physics Subject Headings (PhySH)

See Also

Dihadron Fragmentation and the Confinement Transition in Energy Correlators

Kyle Lee and Iain W. Stewart
Phys. Rev. Lett. 136, 081902 (2026)

Quantum Scaling in Energy Correlators beyond the Confinement Transition

Cyuan-Han Chang, Hao Chen, Xiaohui Liu, David Simmons-Duffin, Feng Yuan, and Hua Xing Zhu
Phys. Rev. Lett. 136, 081903 (2026)

Factorization and Resummation for the Near-Side Energy-Energy Correlators

Yuxun Guo, Feng Yuan, and Wenbin Zhao
Phys. Rev. Lett. 136, 081904 (2026)

Article Text

Supplemental Material

References (101)

  1. D. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973).
  2. H. Politzer, Phys. Rev. Lett. 30, 1346 (1973).
  3. K. G. Wilson, Phys. Rev. D 10, 2445 (1974).
  4. C. L. Basham, L. S. Brown, S. D. Ellis, and S. T. Love, Phys. Rev. D 17, 2298 (1978).
  5. C. L. Basham, L. S. Brown, S. D. Ellis, and S. T. Love, Phys. Rev. Lett. 41, 1585 (1978).
  6. C. L. Basham, L. S. Brown, S. D. Ellis, and S. T. Love, Phys. Rev. D 19, 2018 (1979).
  7. C. L. Basham, L. S. Brown, S. D. Ellis, and S. T. Love, Phys. Lett. B 85, 297 (1979).
  8. H. J. Behrend et al. (CELLO Collaboration), Z. Phys. C 14, 95 (1982).
  9. E. Fernandez et al., Phys. Rev. D 31, 2724 (1985).
  10. W. Bartel et al. (JADE Collaboration), Z. Phys. C 25, 231 (1984).
  11. C. Berger et al. (PLUTO Collaboration), Z. Phys. C 28, 365 (1985).
  12. D. R. Wood et al., Phys. Rev. D 37, 3091 (1988).
  13. W. Braunschweig et al. (TASSO Collaboration), Z. Phys. C 36, 349 (1987).
  14. I. Adachi et al. (TOPAZ Collaboration), Phys. Lett. B 227, 495 (1989).
  15. D. Decamp et al. (ALEPH Collaboration), Phys. Lett. B 257, 479 (1991).
  16. M. Z. Akrawy et al. (OPAL Collaboration), Phys. Lett. B 252, 159 (1990).
  17. P. D. Acton et al. (OPAL Collaboration), Phys. Lett. B 276, 547 (1992).
  18. B. Adeva et al. (L3 Collaboration), Phys. Lett. B 257, 469 (1991).
  19. O. Adrian et al. (L3 Collaboration), Phys. Lett. B 284, 471 (1992).
  20. K. Abe et al. (SLD Collaboration), Phys. Rev. D 51, 962 (1995).
  21. K. Abe et al. (SLD Collaboration), Phys. Rev. D 50, 5580 (1994).
  22. H. Bossi, Y.-C. Chen, Y. Chen, J. Zhang, G. M. Innocenti, A. Badea, A. Baty, M. Maggi, C. McGinn, and Y.-J. Lee, arXiv:2505.11828.
  23. A. Hayrapetyan et al. (CMS Collaboration), Phys. Rev. Lett. 133, 071903 (2024).
  24. S. Acharya et al. (ALICE Collaboration), arXiv:2409.12687.
  25. I. Moult and H. X. Zhu, arXiv:2506.09119.
  26. L. J. Dixon, I. Moult, and H. X. Zhu, Phys. Rev. D 100, 014009 (2019).
  27. H. Chen, J. High Energy Phys. 01 (2024) 035.
  28. I. Moult and H. X. Zhu, J. High Energy Phys. 08 (2018) 160.
  29. C. Duhr, B. Mistlberger, and G. Vita, Phys. Rev. Lett. 129, 162001 (2022).
  30. A. V. Belitsky, S. Hohenegger, G. P. Korchemsky, E. Sokatchev, and A. Zhiboedov, Phys. Rev. Lett. 112, 071601 (2014).
  31. L. J. Dixon, M.-X. Luo, V. Shtabovenko, T.-Z. Yang, and H. X. Zhu, Phys. Rev. Lett. 120, 102001 (2018).
  32. M.-X. Luo, V. Shtabovenko, T.-Z. Yang, and H. X. Zhu, J. High Energy Phys. 06 (2019) 037.
  33. J. M. Henn, E. Sokatchev, K. Yan, and A. Zhiboedov, Phys. Rev. D 100, 036010 (2019).
  34. D. M. Hofman and J. Maldacena, J. High Energy Phys. 05 (2008) 012.
  35. A. V. Belitsky, S. Hohenegger, G. P. Korchemsky, E. Sokatchev, and A. Zhiboedov, Nucl. Phys. B884, 305 (2014).
  36. A. V. Belitsky, S. Hohenegger, G. P. Korchemsky, E. Sokatchev, and A. Zhiboedov, Nucl. Phys. B884, 206 (2014).
  37. M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov, J. High Energy Phys. 01 (2021) 128.
  38. C.-H. Chang, M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov, J. High Energy Phys. 05 (2022) 059.
  39. H. Chen, I. Moult, and H. X. Zhu, Phys. Rev. Lett. 126, 112003 (2021).
  40. S. T. Schindler, I. W. Stewart, and Z. Sun, J. High Energy Phys. 10 (2023) 187; 10 (2024) 175(E).
  41. K. Lee, A. Pathak, I. W. Stewart, and Z. Sun, Phys. Rev. Lett. 133, 231902 (2024).
  42. H. Chen, P. F. Monni, Z. Xu, and H. X. Zhu, Phys. Rev. Lett. 133, 231901 (2024).
  43. Z.-B. Kang, J. Penttala, and C. Zhang, arXiv:2410.21435.
  44. J. Barata, Z.-B. Kang, X. Mayo López, and J. Penttala, Phys. Rev. Lett. 134, 251903 (2025).
  45. X. Liu, W. Vogelsang, F. Yuan, and H. X. Zhu, Phys. Rev. Lett. 134, 151901 (2025).
  46. C. Csáki, S. Ferrante, and A. Ismail, J. High Energy Phys. 07 (2025) 117.
  47. C. Csáki and A. Ismail, J. High Energy Phys. 11 (2024) 140.
  48. K. Lee, F. Turro, and X. Yao, Phys. Rev. D 111, 054514 (2025).
  49. D. Pitonyak, C. Cocuzza, A. Metz, A. Prokudin, and N. Sato, Phys. Rev. Lett. 132, 011902 (2024).
  50. D. Pitonyak, C. Cocuzza, A. Metz, A. Prokudin, and N. Sato, arXiv:2502.15817.
  51. T. C. Rogers, M. Radici, A. Courtoy, and T. Rainaldi, Phys. Rev. D 111, 056001 (2025).
  52. F. A. Ceccopieri, M. Radici, and A. Bacchetta, Phys. Lett. B 650, 81 (2007).
  53. A. Mitov and S.-O. Moch, Nucl. Phys. B751, 18 (2006).
  54. A. Mitov, S. Moch, and A. Vogt, Phys. Lett. B 638, 61 (2006).
  55. S. Moch and A. Vogt, Phys. Lett. B 659, 290 (2008).
  56. A. A. Almasy, S. Moch, and A. Vogt, Nucl. Phys. B854, 133 (2012).
  57. D. de Florian and L. Vanni, Phys. Lett. B 578, 139 (2004).
  58. A. Majumder and X.-N. Wang, Phys. Rev. D 72, 034007 (2005).
  59. A. Majumder and X.-N. Wang, Phys. Rev. D 70, 014007 (2004).
  60. H. Chen, M. Jaarsma, Y. Li, I. Moult, W. J. Waalewijn, and H. X. Zhu, J. High Energy Phys. 07 (2023) 185.
  61. H. Chen, M. Jaarsma, Y. Li, I. Moult, W. J. Waalewijn, and H. X. Zhu, Phys. Rev. D 111, 076021 (2025).
  62. See Supplemental Material at http://link.aps.org/supplemental/10.1103/jnl4-x77t for a derivation of the dihadron fragmentation result for EEC(χ) in e+e− annihilation and the evolution equation for the EEC DiFF.
  63. J. C. Collins, S. F. Heppelmann, and G. A. Ladinsky, Nucl. Phys. B420, 565 (1994).
  64. J. C. Collins and G. A. Ladinsky, arXiv:hep-ph/9411444.
  65. A. Bianconi, S. Boffi, R. Jakob, and M. Radici, Phys. Rev. D 62, 034008 (2000).
  66. J. Zhou and A. Metz, Phys. Rev. Lett. 106, 172001 (2011).
  67. E. Herrmann, Z.-B. Kang, J. Penttala, and C. Zhang, arXiv:2507.17704 [Phys. Rev. Lett.] (to be published).
  68. C.-Q. He, H. Xing, T.-Z. Yang, and H. X. Zhu, arXiv:2503.20441.
  69. M. Anselmino, M. Boglione, U. D’Alesio, A. Kotzinian, F. Murgia, and A. Prokudin, Phys. Rev. D 71, 074006 (2005).
  70. A. Signori, A. Bacchetta, M. Radici, and G. Schnell, J. High Energy Phys. 11 (2013) 194.
  71. M. Anselmino, M. Boglione, J. O. Gonzalez Hernandez, S. Melis, and A. Prokudin, J. High Energy Phys. 04 (2014) 005.
  72. H. Chen, H. Ruan, and H. X. Zhu, J. High Energy Phys. 12 (2025) 168.
  73. C. Cocuzza, A. Metz, D. Pitonyak, A. Prokudin, N. Sato, and R. Seidl, Phys. Rev. D 109, 034024 (2024).
  74. R. Seidl et al. (Belle Collaboration), Phys. Rev. D 96, 032005 (2017).
  75. A. Kardos, S. Kluth, G. Somogyi, Z. Tulipánt, and A. Verbytskyi, Eur. Phys. J. C 78, 498 (2018).
  76. A. Bianconi, S. Boffi, R. Jakob, and M. Radici, Phys. Rev. D 62, 034009 (2000).
  77. M. Radici, R. Jakob, and A. Bianconi, Phys. Rev. D 65, 074031 (2002).
  78. A. Bacchetta and M. Radici, Phys. Rev. D 67, 094002 (2003).
  79. A. Bacchetta and M. Radici, Phys. Rev. D 69, 074026 (2004).
  80. D. Boer, R. Jakob, and M. Radici, Phys. Rev. D 67, 094003 (2003).
  81. A. Bacchetta and M. Radici, Phys. Rev. D 70, 094032 (2004).
  82. A. Bacchetta, F. A. Ceccopieri, A. Mukherjee, and M. Radici, Phys. Rev. D 79, 034029 (2009).
  83. A. Bacchetta, A. Courtoy, and M. Radici, Phys. Rev. Lett. 107, 012001 (2011).
  84. A. Courtoy, A. Bacchetta, M. Radici, and A. Bianconi, Phys. Rev. D 85, 114023 (2012).
  85. A. Bacchetta, A. Courtoy, and M. Radici, J. High Energy Phys. 03 (2013) 119.
  86. H. H. Matevosyan, A. W. Thomas, and W. Bentz, Phys. Rev. D 88, 094022 (2013).
  87. S. Gliske, A. Bacchetta, and M. Radici, Phys. Rev. D 90, 114027 (2014); 91, 019902(E) (2015).
  88. M. Radici, A. Courtoy, A. Bacchetta, and M. Guagnelli, J. High Energy Phys. 05 (2015) 123.
  89. M. Radici, A. M. Ricci, A. Bacchetta, and A. Mukherjee, Phys. Rev. D 94, 034012 (2016).
  90. H. H. Matevosyan, A. Kotzinian, and A. W. Thomas, Phys. Rev. D 96, 074010 (2017).
  91. H. H. Matevosyan, A. Kotzinian, and A. W. Thomas, Phys. Rev. D 97, 014019 (2018).
  92. H. H. Matevosyan, A. Kotzinian, and A. W. Thomas, Phys. Rev. Lett. 120, 252001 (2018).
  93. M. Radici and A. Bacchetta, Phys. Rev. Lett. 120, 192001 (2018).
  94. H. H. Matevosyan, A. Kotzinian, and A. W. Thomas, J. High Energy Phys. 10 (2018) 008.
  95. H. H. Matevosyan, A. Bacchetta, D. Boer, A. Courtoy, A. Kotzinian, M. Radici, and A. W. Thomas, Phys. Rev. D 97, 074019 (2018).
  96. J. Benel, A. Courtoy, and R. Ferro-Hernandez, Eur. Phys. J. C 80, 465 (2020).
  97. C. Cocuzza, A. Metz, D. Pitonyak, A. Prokudin, N. Sato, and R. Seidl (JAM Collaboration), Phys. Rev. Lett. 132, 091901 (2024).
  98. K. Lee and I. Stewart, companion Letter, Phys. Rev. Lett. 136, 081902 (2026).
  99. Y. Guo, F. Yuan, and W. Zhao, companion Letter, Phys. Rev. Lett. 136, 081904 (2026).
  100. C.-H. Chang, H. Chen, X. Liu, D. Simmons-Duffin, F. Yuan, and H. X. Zhu, companion Letter, Phys. Rev. Lett. 136, 081903 (2026).
  101. Z.-B. Kang, A. Metz, D. Pitonyak, and C. Zhang, https://github.com/pitonyak25/EEC-DiFF (2025).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation