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Flow between Extremal One-Point Energy Correlators in QCD

Marc Riembau1,2 and Minho Son3

  • 1Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland
  • 2Theoretical Particle Physics Laboratory, Institute of Physics, EPFL, 1015 Lausanne, Switzerland
  • 3Department of Physics, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea

Phys. Rev. Lett. 136, 101901 – Published 11 March, 2026

DOI: https://doi.org/10.1103/lc5m-kwgv

Abstract

The energy density generated by a vector current is characterized by a single parameter aE bounded by unitarity to −1/2≤aE≤1, with extremal values saturated by free theories of different matter content. Through confinement, QCD transmutes fermionic matter into scalars, revealing a nontrivial flow between extremal correlators. We reconstruct this flow using perturbative QCD and chiral perturbation theory. The observable is accessible with currently available experimental data.

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References (42)

  1. F. Gross et al., Eur. Phys. J. C 83, 1125 (2023).
  2. J. R. Ellis, M. K. Gaillard, and G. G. Ross, Nucl. Phys. B111, 253 (1976); B130, 516(E) (1977).
  3. E. Farhi, Phys. Rev. Lett. 39, 1587 (1977).
  4. H. Georgi and M. Machacek, Phys. Rev. Lett. 39, 1237 (1977).
  5. G. C. Fox and S. Wolfram, Phys. Rev. Lett. 41, 1581 (1978).
  6. C. L. Basham, L. S. Brown, S. D. Ellis, and S. T. Love, Phys. Rev. D 17, 2298 (1978).
  7. C. L. Basham, L. S. Brown, S. D. Ellis, and S. T. Love, Phys. Rev. Lett. 41, 1585 (1978).
  8. I. Moult and H. X. Zhu, arXiv:2506.09119.
  9. D. M. Hofman and J. Maldacena, J. High Energy Phys. 05 (2008) 012.
  10. A. Zhiboedov, J. High Energy Phys. 04 (2014) 038.
  11. P. Nason and B. R. Webber, Nucl. Phys. B421, 473 (1994); B480, 755(E) (1996).
  12. M. Riembau and M. Son, Phys. Rev. D 111, 014004 (2025).
  13. C. G. Callan and D. J. Gross, Phys. Rev. Lett. 22, 156 (1969).
  14. P. J. Rijken and W. L. van Neerven, Nucl. Phys. B487, 233 (1997).
  15. P. J. Rijken and W. L. van Neerven, Phys. Lett. B 386, 422 (1996).
  16. A. Mitov and S.-O. Moch, Nucl. Phys. B751, 18 (2006).
  17. J. Blumlein and V. Ravindran, Nucl. Phys. B749, 1 (2006).
  18. C.-Q. He, H. Xing, T.-Z. Yang, and H. X. Zhu, Phys. Rev. Lett. 135, 101901 (2025).
  19. D. Maitre, Comput. Phys. Commun. 174, 222 (2006).
  20. C. Duhr and F. Dulat, J. High Energy Phys. 08 (2019) 135.
  21. P. A. Baikov, K. G. Chetyrkin, J. H. Kuhn, and J. Rittinger, Phys. Lett. B 714, 62 (2012).
  22. R. Akers et al. (OPAL Collaboration), Z. Phys. C 68, 203 (1995).
  23. P. Abreu et al. (DELPHI Collaboration), Eur. Phys. J. C 6, 19 (1999).
  24. M. Blumenstengel, O. Biebel, P. A. Movilla Fernandez, P. Pfeifenschnedier, S. Bethke, and S. Kluth (JADE Collaboration), Phys. Lett. B 517, 37 (2001).
  25. R. Schwitters et al., Phys. Rev. Lett. 35, 1320 (1975).
  26. G. J. Feldman and M. L. Perl, Phys. Rep. 33, 285 (1977).
  27. S.-s. Fang, B. Kubis, and A. Kupsc, Prog. Part. Nucl. Phys. 120, 103884 (2021).
  28. M. Hoferichter, B.-L. Hoid, B. Kubis, S. Leupold, and S. P. Schneider, J. High Energy Phys. 10 (2018) 141.
  29. S. L. Adler, B. W. Lee, S. B. Treiman, and A. Zee, Phys. Rev. D 4, 3497 (1971).
  30. R. Aviv and A. Zee, Phys. Rev. D 5, 2372 (1972).
  31. T. Fujiwara, T. Kugo, H. Terao, S. Uehara, and K. Yamawaki, Prog. Theor. Phys. 73, 926 (1985).
  32. G. Ecker and R. Unterdorfer, Eur. Phys. J. C 24, 535 (2002).
  33. H. Czyz, J. H. Kuhn, and A. Wapienik, Phys. Rev. D 77, 114005 (2008).
  34. H. Czyz and J. H. Kuhn, Eur. Phys. J. C 18, 497 (2001).
  35. V. P. Druzhinin, in 23rd International Symposium on Lepton-Photon Interactions at High Energy (LP07) (2007), pp. 134–147, arXiv:0710.3455.
  36. G. Rodrigo, H. Czyz, J. H. Kuhn, and M. Szopa, Eur. Phys. J. C 24, 71 (2002).
  37. F. Campanario, H. Czyż, J. Gluza, T. Jeliński, G. Rodrigo, S. Tracz, and D. Zhuridov, Phys. Rev. D 100, 076004 (2019).
  38. A. Keshavarzi, D. Nomura, and T. Teubner, Phys. Rev. D 97, 114025 (2018).
  39. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  40. P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, Phys. Rev. Lett. 101, 012002 (2008).
  41. M. Davier, A. Hoecker, B. Malaescu, and Z. Zhang, Eur. Phys. J. C 80, 241 (2020); 80, 410(E) (2020).
  42. I. Adachi et al. (Belle-II Collaboration), Phys. Rev. D 110, 112005 (2024).

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