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

Implications of recent LHCb data on CP violation in b-baryon four-body decays

Qi Chen, Xin Wu, Zhi-Peng Xing*, and Ruilin Zhu

  • Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu 210023, China and Nanjing Key Laboratory of Particle Physics and Astrophysics, Nanjing, Jiangsu 210023, China

  • *Contact author: zpxing@nnu.edu.cn

Phys. Rev. D 112, 033010 – Published 25 August, 2025

DOI: https://doi.org/10.1103/skrl-gl4z

Abstract

Motivated by the recent CP violation observation, we investigate the CP violation of b-baryon charmless four-body decays under the U-spin symmetry. However, we find that only U-spin symmetry cannot provide effective predictions, particularly for Λb decays. For giving more useful predictions, we also give a simple dynamic analysis. By counting the power (λ=ΛQCDmb) of each topological diagram, we find that for the specific decay Bb2→R(B12M2M2¯)M2, only one U-spin amplitude can contribute in the leading power, while for Bb2→R(B12M2)R(M2¯M2), only two U-spin amplitudes can contribute in this leading power. Then the most effective prediction can be given as ACPdir(Λb0→R(pπ−π+)π−)=(−12.99±2.83±2.59±0.65)%.Considering the Λb can effectively be produced in LHCb, we strongly encourage a more precise experimental investigation of it.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (61)

  1. J. H. Christenson, J. W. Cronin, V. L. Fitch, and R. Turlay, Phys. Rev. Lett. 13, 138 (1964).
  2. B. Aubert et al. (BABAR Collaboration), Phys. Rev. Lett. 86, 2515 (2001).
  3. K. Abe et al. (Belle Collaboration), Phys. Rev. Lett. 87, 091802 (2001).
  4. T. Aaltonen et al. (CDF Collaboration), Phys. Rev. Lett. 106, 181802 (2011).
  5. T. A. Aaltonen et al. (CDF Collaboration), Phys. Rev. Lett. 113, 242001 (2014).
  6. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 122, 211803 (2019).
  7. L. K. Li et al. (Belle Collaboration), arXiv:2305.12806.
  8. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 133, 261804 (2024).
  9. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 134, 101802 (2025).
  10. R. Aaij et al. (LHCb Collaboration), Phys. Rev. D 111, 092004 (2025).
  11. R. Aaij et al. (LHCb Collaboration), Phys. Rev. D 111, L091102 (2025).
  12. R. Aaij et al. (LHCb Collaboration), Nature (London) 643, 1223 (2025).
  13. M. Gronau and J. L. Rosner, Phys. Rev. D 89, 037501 (2014); 91, 119902(E) (2015).
  14. Y. K. Hsiao and C. Q. Geng, Phys. Rev. D 91, 116007 (2015).
  15. M. He, X. G. He, and G. N. Li, Phys. Rev. D 92, 036010 (2015).
  16. J. Zhu, H. W. Ke, and Z. T. Wei, Eur. Phys. J. C 76, 284 (2016).
  17. X. G. He, Y. J. Shi, and W. Wang, Eur. Phys. J. C 80, 359 (2020).
  18. S. Roy, R. Sinha, and N. G. Deshpande, Phys. Rev. D 101, 036018 (2020).
  19. D. Wang, Eur. Phys. J. C 79, 429 (2019).
  20. S. Roy, R. Sinha, and N. G. Deshpande, Phys. Rev. D 102, 053007 (2020).
  21. D. Wang, Eur. Phys. J. C 83, 279 (2023).
  22. A. Dery, Y. Grossman, S. Schacht, and D. Tonelli, arXiv:2209.07429.
  23. J. P. Wang and F. S. Yu, Phys. Lett. B 849, 138460 (2024).
  24. I. Bediaga, T. Frederico, and P. C. Magalhães, Phys. Rev. Lett. 131, 051802 (2023).
  25. Y. F. Shen, J. P. Wang, and Q. Qin, Phys. Rev. D 108, L111901 (2023).
  26. Y. F. Shen, W. J. Song, and Q. Qin, Phys. Rev. D 110, L031301 (2024).
  27. J. P. Wang and F. S. Yu, Chin. Phys. C 48, 101002 (2024).
  28. J. P. Wang, Q. Qin, and F. S. Yu, arXiv:2411.18323.
  29. J. Sun, Z. P. Xing, and R. Zhu, Eur. Phys. J. C 85, 262 (2025).
  30. C. P. Jia, H. Y. Jiang, J. P. Wang, and F. S. Yu, J. High Energy Phys. 11 (2024) 072.
  31. X. G. He and C. W. Liu, arXiv:2404.19166.
  32. H. Y. Cheng, Z. H. Guo, X. G. He, Y. Hou, X. W. Kang, A. Kupsc, Y. Y. Li, L. Liu, X. R. Lyu, J. P. Ma et al. arXiv:2502.08907.
  33. W. J. Song, S. Q. Wang, Q. Qin, and Y. Li, Eur. Phys. J. C 85, 300 (2025).
  34. C. D. Lu, Y. M. Wang, H. Zou, A. Ali, and G. Kramer, Phys. Rev. D 80, 034011 (2009).
  35. Z. Rui, J. M. Li, and C. Q. Zhang, Phys. Rev. D 107, 053009 (2023).
  36. C. Q. Zhang, J. M. Li, M. K. Jia, and Z. Rui, Phys. Rev. D 105, 073005 (2022).
  37. Z. Rui, C. Q. Zhang, J. M. Li, and M. K. Jia, Phys. Rev. D 106, 053005 (2022).
  38. Z. Rui and Z. T. Zou, Phys. Rev. D 109, 033013 (2024).
  39. J. J. Han, J. X. Yu, Y. Li, H. n. Li, J. P. Wang, Z. J. Xiao, and F. S. Yu, Phys. Rev. Lett. 134, 221801 (2025).
  40. M. Gronau, Phys. Lett. B 492, 297 (2000).
  41. M. Gronau, Phys. Lett. B 727, 136 (2013).
  42. B. Bhattacharya and D. London, J. High Energy Phys. 04 (2015) 154.
  43. Y. Grossman and S. Schacht, Phys. Rev. D 99, 033005 (2019).
  44. A. Dery, Y. Grossman, S. Schacht, and A. Soffer, J. High Energy Phys. 05 (2021) 179.
  45. M. Gavrilova, Y. Grossman, and S. Schacht, J. High Energy Phys. 08 (2022) 278.
  46. S. Schacht, J. High Energy Phys. 03 (2023) 205.
  47. W. Wang, Z. P. Xing, and Z. X. Zhao, Phys. Rev. D 111, 053006 (2025).
  48. B. n. Zhang and D. Wang, Phys. Lett. B 868, 139674 (2025).
  49. X. G. He, C. W. Liu, and J. Tandean, arXiv:2503.24350.
  50. D. Wang and J. F. Luo, Phys. Rev. D 110, 093001 (2024).
  51. G. Buchalla, A. J. Buras, and M. E. Lautenbacher, Rev. Mod. Phys. 68, 1125 (1996).
  52. M. J. Savage and R. P. Springer, Phys. Rev. D 42, 1527 (1990).
  53. S. Banerjee et al. (Heavy Flavor Averaging Group (HFLAV) Collaboration), arXiv:2411.18639.
  54. X. G. He, S. F. Li, and H. H. Lin, J. High Energy Phys. 08 (2013) 065.
  55. X. G. He and W. Wang, Chin. Phys. C 42, 103108 (2018).
  56. W. Wang, Phys. Lett. B 708, 119 (2012).
  57. M. Beneke, A. P. Chapovsky, M. Diehl, and T. Feldmann, Nucl. Phys. B643, 431 (2002).
  58. R. J. Hill and M. Neubert, Nucl. Phys. B657, 229 (2003).
  59. Bo-nan Zhang and Di Wang, arXiv:2503.21885.
  60. Xiao-Gang He, Chia-Wei Liu, and Jusak Tandean, arXiv:2503.24350.
  61. Shibasis Roy, arXiv:2504.10891.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation