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  • Open Access

Next-to-leading order QCD corrections to electromagnetic production and decay of fully charm tetraquarks

Xinran Liu, Yefan Wang*, and Ruilin Zhu†

  • *Contact author: wangyefan@nnu.edu.cn
  • †Contact author: rlzhu@njnu.edu.cn

Phys. Rev. D 114, 014044 – Published 20 July, 2026

DOI: https://doi.org/10.1103/6fcd-bj74

Abstract

We investigate the electromagnetic properties of the fully charm tetraquark states, particularly incorporating contributions from internal gluon radiation. The paper first presents analytical expressions for the next-to-leading-order QCD corrections to the decay amplitudes of fully charm tetraquarks into two photons. It is found that the QCD corrections are significant for the JPC=0++ and JPC=2++ fully charm tetraquark decay process. Subsequently, by considering photon-photon fusion in ultraperipheral high-energy collisions of protons and nuclei and in electron-positron collision, we provide theoretical predictions for the production cross sections of fully charm tetraquark states. The results presented in this work regarding the electromagnetic production and decay of fully charm tetraquarks shall be tested in current and future experiments.

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References (97)

  1. S. K. Choi et al. (Belle Collaboration), Phys. Rev. Lett. 91, 262001 (2003).
  2. D. Acosta et al. (CDF Collaboration), Phys. Rev. Lett. 93, 072001 (2004).
  3. R. Aaij et al. (LHCb Collaboration), Sci. Bull. 65, 1983 (2020).
  4. G. Aad et al. (ATLAS Collaboration), Phys. Rev. Lett. 131, 151902 (2023).
  5. A. Hayrapetyan et al. (CMS Collaboration), Phys. Rev. Lett. 132, 111901 (2024).
  6. J. H. Yin et al. (Belle Collaboration), J. High Energy Phys. 08 (2023) 121.
  7. A. Hayrapetyan et al. (CMS Collaboration), Nature (London) 648, 58 (2025).
  8. G. Aad et al. (ATLAS Collaboration), Phys. Rev. D 113, 112015 (2026).
  9. Y. Iwasaki, Prog. Theor. Phys. 54, 492 (1975).
  10. K. T. Chao, Z. Phys. C 7, 317 (1981).
  11. M. N. Anwar, J. Ferretti, F. K. Guo, E. Santopinto, and B. S. Zou, Eur. Phys. J. C 78, 647 (2018).
  12. M. Karliner, S. Nussinov, and J. L. Rosner, Phys. Rev. D 95, 034011 (2017).
  13. V. R. Debastiani and F. S. Navarra, Chin. Phys. C 43, 013105 (2019).
  14. J. Wu, Y. R. Liu, K. Chen, X. Liu, and S. L. Zhu, Phys. Rev. D 97, 094015 (2018).
  15. M. S. Liu, Q. F. Lü, X. H. Zhong, and Q. Zhao, Phys. Rev. D 100, 016006 (2019).
  16. X. Jin, Y. Xue, H. Huang, and J. Ping, Eur. Phys. J. C 80, 1083 (2020).
  17. F. X. Liu, M. S. Liu, X. H. Zhong, and Q. Zhao, Phys. Rev. D 104, 116029 (2021).
  18. R. N. Faustov, V. O. Galkin, and E. M. Savchenko, Phys. Rev. D 102, 114030 (2020).
  19. Q. F. Lü, D. Y. Chen, and Y. B. Dong, Eur. Phys. J. C 80, 871 (2020).
  20. M. S. Liu, F. X. Liu, X. H. Zhong, and Q. Zhao, Phys. Rev. D 109, 076017 (2024).
  21. G. J. Wang, L. Meng, and S. L. Zhu, Phys. Rev. D 100, 096013 (2019).
  22. M. A. Bedolla, J. Ferretti, C. D. Roberts, and E. Santopinto, Eur. Phys. J. C 80, 1004 (2020).
  23. R. Zhu, Nucl. Phys. B966, 115393 (2021).
  24. J. F. Giron and R. F. Lebed, Phys. Rev. D 102, 074003 (2020).
  25. C. M. Tang, C. G. Duan, and L. Tang, Eur. Phys. J. C 84, 743 (2024).
  26. C. M. Tang, C. G. Duan, L. Tang, and C. F. Qiao, Eur. Phys. J. C 85, 396 (2025).
  27. C. M. Tang, C. G. Duan, L. Tang, and C. F. Qiao, Eur. Phys. J. C 86, 746 (2026).
  28. W. Chen, H. X. Chen, X. Liu, T. G. Steele, and S. L. Zhu, Phys. Lett. B 773, 247 (2017).
  29. J. R. Zhang, Phys. Rev. D 103, 014018 (2021).
  30. Z. G. Wang, Int. J. Mod. Phys. A 36, 2150014 (2021).
  31. Z. G. Wang, Chin. Phys. C 44, 113106 (2020).
  32. R. M. Albuquerque, S. Narison, A. Rabemananjara, D. Rabetiarivony, and G. Randriamanatrika, Phys. Rev. D 102, 094001 (2020).
  33. Q. N. Wang, Z. Y. Yang, and W. Chen, Phys. Rev. D 104, 114037 (2021).
  34. B. D. Wan and C. F. Qiao, Phys. Lett. B 817, 136339 (2021).
  35. B. C. Yang, L. Tang, and C. F. Qiao, Eur. Phys. J. C 81, 324 (2021).
  36. Z. G. Wang, Eur. Phys. J. C 77, 432 (2017).
  37. Z. G. Wang and Z. Y. Di, Acta Phys. Pol. B 50, 1335 (2019).
  38. S. S. Agaev, K. Azizi, B. Barsbay, and H. Sundu, Phys. Lett. B 844, 138089 (2023).
  39. S. S. Agaev, K. Azizi, B. Barsbay, and H. Sundu, Nucl. Phys. A1041, 122768 (2024).
  40. G. Li, C. Shi, Y. Chen, and W. Sun, arXiv:2505.23220.
  41. G. Li, C. Shi, Y. Chen, and W. Sun, arXiv:2505.24213.
  42. Y. Meng, C. Liu, X. Y. Tuo, H. Yan, and Z. Zhang, Eur. Phys. J. C 85, 458 (2025).
  43. N. Santowsky and C. S. Fischer, Eur. Phys. J. C 82, 313 (2022).
  44. Q. Li, C. H. Chang, G. L. Wang, and T. Wang, Phys. Rev. D 104, 014018 (2021).
  45. H. W. Ke, X. Han, X. H. Liu, and Y. L. Shi, Eur. Phys. J. C 81, 427 (2021).
  46. W. Heupel, G. Eichmann, and C. S. Fischer, Phys. Lett. B 718, 545 (2012).
  47. J. Z. Wang, D. Y. Chen, X. Liu, and T. Matsuki, Phys. Rev. D 103, 071503 (2021).
  48. C. Gong, M. C. Du, Q. Zhao, X. H. Zhong, and B. Zhou, Phys. Lett. B 824, 136794 (2022).
  49. X. K. Dong, V. Baru, F. K. Guo, C. Hanhart, and A. Nefediev, Phys. Rev. Lett. 126, 132001 (2021); 127, 119901(E) (2021).
  50. Z. H. Guo and J. A. Oller, Phys. Rev. D 103, 034024 (2021).
  51. Q. Huang, R. Chen, J. He, and X. Liu, Phys. Rev. D 113, 074007 (2026).
  52. A. Esposito and A. D. Polosa, Eur. Phys. J. C 78, 782 (2018).
  53. S. S. Agaev, K. Azizi, and H. Sundu, Eur. Phys. J. A 62, 59 (2026).
  54. Z. Y. Wang, J. J. Qi, Z. H. Zhang, and X. H. Guo, Phys. Rev. D 112, 074038 (2025).
  55. X. Xia and T. Guo, Phys. Rev. D 113, 054017 (2026).
  56. F. Feng, Y. Huang, Y. Jia, W. L. Sang, D. S. Yang, and J. Y. Zhang, Phys. Rev. D 108, L051501 (2023).
  57. I. Belov, A. Giachino, and E. Santopinto, J. High Energy Phys. 01 (2025) 093.
  58. Y. Wang and R. Zhu, arXiv:2510.02085.
  59. F. G. Celiberto, A. V. Giannini, V. P. Gonçalves, and Y. N. Lima, Phys. Rev. D 113, 054014 (2026).
  60. F. G. Celiberto, Phys. Rev. D 112, 074041 (2025).
  61. H. F. Zhang, Y. Q. Ma, and W. L. Sang, Sci. Bull. 70, 1915 (2025).
  62. F. Feng, Y. Huang, Y. Jia, W. L. Sang, X. Xiong, and J. Y. Zhang, Phys. Rev. D 106, 114029 (2022).
  63. X. W. Bai, Y. Huang, and W. L. Sang, Phys. Rev. D 111, 054006 (2025).
  64. X. W. Bai, F. Feng, C. M. Gan, Y. Huang, W. L. Sang, and H. F. Zhang, J. High Energy Phys. 09 (2024) 002.
  65. F. G. Celiberto, G. Gatto, and A. Papa, Eur. Phys. J. C 84, 1071 (2024).
  66. W. L. Sang, T. Wang, Y. D. Zhang, and F. Feng, Phys. Rev. D 109, 056016 (2024).
  67. K. Chen, F. X. Liu, Q. Zhao, X. H. Zhong, R. Zhu, and B. S. Zou, arXiv:2412.13455.
  68. C. Becchi, J. Ferretti, A. Giachino, L. Maiani, and E. Santopinto, Phys. Lett. B 811, 135952 (2020).
  69. H. F. Zhang, X. M. Mo, and Y. P. Yan, Phys. Rev. D 110, 096021 (2024).
  70. Z. G. Wang and X. S. Yang, AAPPS Bull. 34, 5 (2024).
  71. V. Biloshytskyi, V. Pascalutsa, L. Harland-Lang, B. Malaescu, K. Schmieden, and M. Schott, Phys. Rev. D 106, L111902 (2022).
  72. H. X. Chen, Y. X. Yan, and W. Chen, Phys. Rev. D 106, 094019 (2022).
  73. D. D. Lu and S. Z. Jiang, Phys. Rev. D 113, 094034 (2026).
  74. F. Zhu, G. Bauer, and K. Yi, Chin. Phys. Lett. 41, 111201 (2024).
  75. A. Esposito, C. A. Manzari, A. Pilloni, and A. D. Polosa, Phys. Rev. D 104, 114029 (2021).
  76. D. d’Enterria and K. Kang, Phys. Rev. D 112, 116022 (2025).
  77. G. T. Bodwin, E. Braaten, and G. P. Lepage, Phys. Rev. D 51, 1125 (1995); 55, 5853(E) (1997).
  78. R. Zhu and C. F. Qiao, Phys. Lett. B 756, 259 (2016).
  79. W. Wang and R. L. Zhu, Phys. Rev. D 96, 014024 (2017).
  80. R. Zhu, Phys. Rev. D 94, 054009 (2016).
  81. C. F. Qiao, P. Sun, D. Yang, and R. L. Zhu, Phys. Rev. D 89, 034008 (2014).
  82. C. F. Qiao and R. L. Zhu, Phys. Rev. D 87, 014009 (2013).
  83. T. Hahn, Comput. Phys. Commun. 140, 418 (2001).
  84. V. Shtabovenko, R. Mertig, and F. Orellana, Comput. Phys. Commun. 256, 107478 (2020).
  85. V. Shtabovenko, R. Mertig, and F. Orellana, Comput. Phys. Commun. 306, 109357 (2025).
  86. F. V. Tkachov, Phys. Lett. 100B, 65 (1981).
  87. K. G. Chetyrkin and F. V. Tkachov, Nucl. Phys. B192, 159 (1981).
  88. J. Klappert, F. Lange, P. Maierhöfer, and J. Usovitsch, Comput. Phys. Commun. 266, 108024 (2021).
  89. V. Shtabovenko, Comput. Phys. Commun. 218, 48 (2017).
  90. H. H. Patel, Comput. Phys. Commun. 197, 276 (2015).
  91. H. S. Shao and D. d’Enterria, J. High Energy Phys. 09 (2022) 248.
  92. J. Jiang, H. Yang, X. Liang, Z. G. Si, C. F. Qiao, B. W. Long, Y. R. Liu, and S. Y. Li, Proc. Sci. HADRON2025 (2026) 042.
  93. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  94. F. Herren and M. Steinhauser, Comput. Phys. Commun. 224, 333 (2018).
  95. X. C. Ai, J. Bao, L. P. An, S. Z. An, Z. Cao, Y. Bai, M. Chang, Z. H. Bai, F. Chen, and O. Bakina et al., Nucl. Sci. Tech. 36, 242 (2025).
  96. M. Achasov, X. C. Ai, R. Aliberti, L. P. An, Q. An, X. Z. Bai, Y. Bai, O. Bakina, A. Barnyakov, and V. Blinov et al., Front. Phys. (Beijing) 19, 14701 (2024).
  97. W. Abdallah et al. (CEPC Study Group), Radiat. Detect. Technol. Methods 8, 1 (2024); 9, 184(E) (2025).

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